Relevant bibliographies by topics / Linear quadratic theory

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Linear quadratic theory'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Linear quadratic theory"

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Bakushev, S. V. "LINEAR THEORY OF ELASTICITY WITH QUADRATIC SUMMAND." STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS 303, no. 4 (February 28, 2022): 29–36. http://dx.doi.org/10.37538/0039-2383.2022.1.29.36.

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We suggest a linear theory version based on Taylor decompositions for stresses and power-series for quadratic summand deformations. Thus, static equations of equilibrium in stresses are written in the form of the second-order partial derivatives differential equations. The resolving equations of equilibrium in displacements are represented in the form of the third order partial derivatives differential equations. The physical equations in this version of the linear theory of elasticity are written in the same way as in the classical linear theory of elasticity. Equilibrium equations, along with other parameters – physical constants of the medium – contain minor parameters dx, dy, dz, the value of which, as shown by numerical modelling, has little effect on the nature of the stress-strain state. It is suggested to use experimental data to determine them. Along with the formulating of the basic equations of the three-dimensional theory of elasticity, particular cases of the stress-strain state of elastic continuous medium are considered: uniaxial stressed state; uniaxial deformed state; flat deformation; generalized plane stress state. Determination of the stressed and deformed state of a thin elastic bar by integrating the resolving equations in stresses and displacements is considered as examples. The suggested version of the linear theory of elasticity, due to the quadratic summand in Taylor decompositions for stresses and in power-series for deformations, expands the classical linear theory of elasticity and, with an appropriate experimental justification, can lead to new qualitative effects in the calculation of elastic deformable bodies.
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Moir, T. J., and J. F. Barrett. "Wiener theory of digital linear-quadratic control." International Journal of Control 49, no. 6 (June 1989): 2123–55. http://dx.doi.org/10.1080/00207178908559766.

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Alford, R., and E. Lee. "Sampled data hereditary systems: Linear quadratic theory." IEEE Transactions on Automatic Control 31, no. 1 (January 1986): 60–65. http://dx.doi.org/10.1109/tac.1986.1104106.

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van den Broek, W. A., J. C. Engwerda, and J. M. Schumacher. "An equivalence result in linear-quadratic theory." Automatica 39, no. 2 (February 2003): 355–59. http://dx.doi.org/10.1016/s0005-1098(02)00228-5.

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Răsvan, Vladimir. "Linear quadratic problems (On “linear” approaches in nonlinear system theory)." Journal of Physics: Conference Series 1864, no. 1 (May 1, 2021): 012003. http://dx.doi.org/10.1088/1742-6596/1864/1/012003.

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Lapierre, Helene, and Germain Ostiguy. "Structural model verification with linear quadratic optimization theory." AIAA Journal 28, no. 8 (August 1990): 1497–503. http://dx.doi.org/10.2514/3.25244.

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Rasina, Irina Viktorovna, and Oles Vladimirovich Fesko. "Approximate optimal control synthesis for nonuniform discrete systems with linear-quadratic state." Program Systems: Theory and Applications 10, no. 2 (2019): 67–77. http://dx.doi.org/10.25209/2079-3316-2019-10-2-67-77.

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Nonuniform discrete systems linear-quadratic over its state are the subject of intense study in optimal control theory. This work presents an approximate optimal control synthesis method in this class based on Krotov’s sufficient optimality conditions and illustrates it with a simple example.
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Horwitz, Noam. "Linear resolutions of quadratic monomial ideals." Journal of Algebra 318, no. 2 (December 2007): 981–1001. http://dx.doi.org/10.1016/j.jalgebra.2007.06.006.

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CIARLET, PHILIPPE G., and LILIANA GRATIE. "A NEW APPROACH TO LINEAR SHELL THEORY." Mathematical Models and Methods in Applied Sciences 15, no. 08 (August 2005): 1181–202. http://dx.doi.org/10.1142/s0218202505000704.

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We propose a new approach to the existence theory for quadratic minimization problems that arise in linear shell theory. The novelty consists in considering the linearized change of metric and change of curvature tensors as the new unknowns, instead of the displacement vector field as is customary. Such an approach naturally yields a constrained minimization problem, the constraints being ad hoc compatibility relations that these new unknowns must satisfy in order that they indeed correspond to a displacement vector field. Our major objective is thus to specify and justify such compatibility relations in appropriate function spaces. Interestingly, this result provides as a corollary a new proof of Korn's inequality on a surface. While the classical proof of this fundamental inequality essentially relies on a basic lemma of J. L. Lions, the keystone in the proposed approach is instead an appropriate weak version of a classical theorem of Poincaré. The existence of a solution to the above constrained minimization problem is then established, also providing as a simple corollary a new existence proof for the original quadratic minimization problem.
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AHMED, N. U., and P. LI. "Quadratic Regulator Theory and Linear Filtering Under System Constraints." IMA Journal of Mathematical Control and Information 8, no. 1 (1991): 93–107. http://dx.doi.org/10.1093/imamci/8.1.93.

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Dissertations / Theses on the topic "Linear quadratic theory"

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Mouadeb, Abdu-Nasser R. "Extension of linear quadratic regulator theory and its applications." Thesis, University of Ottawa (Canada), 1992. http://hdl.handle.net/10393/7535.

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Linear Quadratic Regulatory theory (L.Q.R.) has received widespread application due to its simplicity and also due to the fact that the control provided this by theory is linear in form. These features make the implication of feedback control and easy task. In contrast, nonlinear regulation lack those attractive features enjoyed by the linear regulator. Moreover, in order to obtain the feedback control, one has to solve Hamilton-Jacobi-Bellman equation which is not an easy task. Also, if solution can be obtained, implementation is not always practical. In this work, we extend the Linear Quadratic Regulatory theory to the following; (I) LQR theory is modified for the case when there is no control contribution to the cost functional. (II) LQR is used to regulate or fine-tune a nonlinear system around a nominal trajectory through linearization of nonlinear systems. (III) Applying the LQR theory for the regulation of angular velocities of a three-axes satellite around a nominal point. (IV) Applying the LQR for the regulation of the movement of a robot around a time-optional trajectory. (V) The limitation of the control obtained through linearization is indicated.
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Shen, Dan. "Nash strategies for dynamic noncooperative linear quadratic sequential games." Columbus, Ohio : Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1156434869.

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Fry, Jedediah Micah. "On Integral Quadratic Constraint Theory and Robust Control of Unmanned Aircraft Systems." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/102615.

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This dissertation advances tools for the certification of unmanned aircraft system (UAS) flight controllers. We develop two thrusts to this goal: (1) the validation and improvement of an uncertain UAS framework based on integral quadratic constraint (IQC) theory and (2) the development of novel IQC theorems which allow the analysis of uncertain systems having time-varying characteristics. Pertaining to the first thrust, this work improves and implements an IQC-based robustness analysis framework for UAS. The approach models the UAS using a linear fractional transformation on uncertainties and conducts robustness analysis on the uncertain system via IQC theory. By expressing the set of desired UAS flight paths with an uncertainty, the framework enables analysis of the uncertain UAS flying about any level path whose radius of curvature is bounded. To demonstrate the versatility of this technique, we use IQC analysis to tune trajectory-tracking and path-following controllers designed via H2 or H-infinity synthesis methods. IQC analysis is also used to tune path-following PID controllers. By employing a non-deterministic simulation environment and conducting numerous flight tests, we demonstrate the capability of the framework in predicting loss of control, comparing the robustness of different controllers, and tuning controllers. Finally, this work demonstrates that signal IQCs have an important role in obtaining IQC analysis results which are less conservative and more consistent with observations from flight test data. With regards to the second thrust, we prove a novel theorem which enables robustness analysis of uncertain systems where the nominal plant and the IQC multiplier are linear time-varying systems and the nominal plant may have a non-zero initial condition. When the nominal plant and the IQC multiplier are eventually periodic, robustness analysis can be accomplished by solving a finite-dimensional semidefinite program. Time-varying IQC multipliers are beneficial in analysis because they provide the possibility of reducing conservatism and are capable of expressing uncertainties that have unique time-domain characteristics. A number of time-varying IQC multipliers are introduced to better describe such uncertainties. The utility of this theorem is demonstrated with various examples, including one which produces bounds on the UAS position after an aggressive Split-S maneuver.
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Wahl, Eric J. "The effect of damping on an optimally tuned dwell-rise-dwell cam designed by linear quadratic optimal control theory." Ohio : Ohio University, 1993. http://www.ohiolink.edu/etd/view.cgi?ohiou1176312992.

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Doruk, Resat Ozgur. "Missile Autopilot Design By Projective Control Theory." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/4/1089929/index.pdf.

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In this thesis, autopilots are developed for missiles with moderate dynamics and stationary targets. The aim is to use the designs in real applications. Since the real missile model is nonlinear, a linearization process is required to get use of systematic linear controller design techniques. In the scope of this thesis, the linear quadratic full state feedback approach is applied for developing missile autopilots. However, the limitations of measurement systems on the missiles restrict the availability of all the states required for feedback. Because of this fact, the linear quadratic design will be approximated by the use of projective control theory. This method enables the designer to use preferably static feedback or if necessary a controller plus a low order compensator combination to approximate the full state feedback reference. Autopilots are checked for the validity of linearization, robust stability against aerodynamic, mechanical and measurement uncertainties.
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Wild, Marcel Wolfgang. "Dreieckverbande : lineare und quadratische darstellungstheorie." Thesis, University of Zurich, 1987. http://hdl.handle.net/10019.1/70322.

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Prof. Marcel Wild completed his PhD with Zurick University and this is a copy of the original works
The original works can be found at http://www.hbz.uzh.ch/
ABSTRACT: A linear representation of a modular lattice L is a homomorphism from L into the lattice Sub(V) of all subspaces of a vector space V. The representation theory of lattices was initiated by the Darmstadt school (Wille, Herrmann, Poguntke, et al), to large extent triggered by the linear representations of posets (Gabriel, Gelfand-Ponomarev, Nazarova, Roiter, Brenner, et al). Even though posets are more general than lattices, none of the two theories encompasses the other. In my thesis a natural type of finite lattice is identified, i.e. triangle lattices, and their linear representation theory is advanced. All of this was triggered by a more intricate setting of quadratic spaces (as opposed to mere vector spaces) and the question of how Witt’s Theorem on the congruence of finite-dimensional quadratic spaces lifts to spaces of uncountable dimensions. That issue is dealt with in the second half of the thesis.
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Flores, Callisaya Hector 1980. "Empacotamento em quadráticas." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307468.

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Orientador: José Mario Martínez Pérez
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Neste trabalho, serão propostos modelos matemáticos para problemas de empacotamento não reticulado de esferas em regiões limitadas por quadráticas no plano e no espaço. Uma técnica para construir representações ou parametrizações será introduzida, mediante a qual será possível encontrar um sistema de desigualdades que determinam o empacotamento de um número fixo de esferas. Desta forma, resolvemos o problema de empacotamento de esferas através de uma sequência de sistemas de desigualdades. Finalmente, para obter resultados eficientes, minimizaremos a função de sobreposição, usando o método do Lagrangiano Aumentado
Abstract: In this work, we will propose mathematical models for not latticed packing of spheres problems in regions bounded by quadratic in the plane and in the space. A technique to construct representations or parameterizations will be introduced, by which it will be possible to find a system of inequalities which determine the packing of a fixed number of spheres. Thus, we solve the problem of packing spheres through a sequence of systems of inequalities. Finally, to obtain effective results, we will minimize the overlay function using the Augmented Lagrangian Method
Doutorado
Matematica Aplicada
Doutor em Matemática Aplicada
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Troschke, Sven-Oliver. "Enhanced approaches to the combination of forecasts : univariate linear plus quadratic and multivariate linear methods /." Lohmar [u. a.] : Eul, 2002. http://www.gbv.de/dms/zbw/358295025.pdf.

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Mörhed, Joakim, and Filip Östman. "Automatic Parking and Path Following Control for a Heavy-Duty Vehicle." Thesis, Linköpings universitet, Reglerteknik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-144496.

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The interest in autonomous vehicles has never been higher and there are several components that need to function for a vehicle to be fully autonomous; one of which is the ability to perform a parking at the end of a mission. The objective of this thesis work is to develop and implement an automatic parking system (APS) for a heavy-duty vehicle (HDV). A delimitation in this thesis work is that the parking lot has a known structure and the HDV is a truck without any trailer and access to more computational power and sensors than today's commercial trucks. An automatic system for searching the parking lot has been developed which updates an occupancy grid map (OGM) based on measurements from GPS and LIDAR sensors mounted on the truck. Based on the OGM and the known structure of the parking lot, the state of the parking spots is determined and a path can be computed between the current and desired position. Based on a kinematic model of the HDV, a gain-scheduled linear quadratic (LQ) controller with feedforward action is developed. The controller's objective is to stabilize the lateral error dynamics of the system around a precomputed path. The LQ controller explicitly takes into account that there exist an input delay in the system. Due to minor complications with the precomputed path the LQ controller causes the steering wheel turn too rapidly which makes the backup driver nervous. To limit these rapid changes of the steering wheel a controller based on model predictive control (MPC) is developed with the goal of making the steering wheel behave more human-like. A constraint for maximum allowed changes of the controller output is added to the MPC formulation as well as physical restrictions and the resulting MPC controller is smoother and more human-like, but due to computational limitations the controller turns out less effective than desired. Development and testing of the two controllers are evaluated in three different environments of varying complexity; the simplest simulation environment contains a basic vehicle model and serves as a proof of concept environment, the second simulation environment uses a more realistic vehicle model and finally the controllers are evaluated on a full-scale HDV. Finally, system tests of the APS are performed and the HDV successfully parks with the LQ controller as well as the MPC controller. The concept of a self-parking HDV has been demonstrated even though more tuning and development needs to be done before the proposed APS can be used in a commercial HDV.
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SANTOS, Watson Robert Macedo. "Metodos para Solução da Equação HJB-Riccati via Famíla de Estimadores Parametricos RLS Simplificados e Dependentes de Modelo." Universidade Federal do Maranhão, 2014. http://tedebc.ufma.br:8080/jspui/handle/tede/1892.

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Due to the demand for high-performance equipments and the rising cost of energy, the industrial sector is developing equipments to attend minimization of the theirs operational costs. The implementation of these requirements generate a demand for projects and implementations of high-performance control systems. The optimal control theory is an alternative to solve this problem, because in its design considers the normative specifications of the system design, as well as those that are related to the operational costs. Motivated by these perspectives, it is presented the study of methods and the development of algorithms to the approximated solution of the Equation Hamilton-Jacobi-Bellman, in the form of discrete Riccati equation, model free and dependent of the dynamic system. The proposed solutions are developed in the context of adaptive dynamic programming that are based on the methods for online design of optimal control systems, Discrete Linear Quadratic Regulator type. The proposed approach is evaluated in multivariable models of the dynamic systems to evaluate the perspectives of the optimal control law for online implementations.
Devido a demanda por equipamentos de alto desempenho e o custo crescente da energia, o setor industrial desenvolve equipamentos que atendem a minimização dos seus custos operacionais. A implantação destas exigências geram uma demanda por projetos e implementações de sistemas de controle de alto desempenho. A teoria de controle ótimo é uma alternativa para solucionar este problema, porque considera no seu projeto as especificações normativas de projeto do sistema, como também as relativas aos seus custos operacionais. Motivado por estas perspectivas, apresenta-se o estudo de métodos e o desenvolvimento de algoritmos para solução aproximada da Equação Hamilton-Jacobi-Bellman, do tipo Equação Discreta de Riccati, livre e dependente de modelo do sistema dinâmico. As soluções propostas são desenvolvidas no contexto de programação dinâmica adaptativa (ADP) que baseiam-se nos métodos para o projeto on-line de Controladores Ótimos, do tipo Regulador Linear Quadrático Discreto. A abordagem proposta é avaliada em modelos de sistemas dinâmicos multivariáveis, tendo em vista a implementação on-line de leis de controle ótimo.
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Books on the topic "Linear quadratic theory"

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Sima, Vasile. Algorithms for linear-quadratic optimization. New York: M. Dekker, 1996.

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Anderson, Brian D. O. Optimal control: Linear quadratic methods. Englewood Cliffs, N.J: Prentice Hall, 1990.

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Quadratic forms, linear algebraic groups, and cohomology. New York: Springer, 2010.

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Introduction to quadratic forms. Berlin: Springer, 2000.

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1964-, Hartley T. T., and Chicatelli S. P. 1964-, eds. The hyperbolic map and applications to the linear quadratic regulator. New York: Springer-Verlag, 1989.

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1955-, Mehrmann V. L., ed. The Autonomous linear quadratic control problem: Theory and numerical solution. Berlin: Springer-Verlag, 1991.

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Daiuto, Brian J. The Hyperbolic Map and Applications to the Linear Quadratic Regulator. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989.

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service), SpringerLink (Online, ed. Mono- and Multivariable Control and Estimation: Linear, Quadratic and LMI Methods. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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Arithmetic and analytic theories of quadratic forms and Clifford groups. Providence, R.I: American Mathematical Society, 2004.

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Roche, Maurice J. Some linear-quadratic solution methods to stochastic nonlinear rational expectations models. Maynooth, Co Kildare: Maynooth College, Department of Economics, 1994.

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Book chapters on the topic "Linear quadratic theory"

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Agrachev, Andrei A., and Yuri L. Sachkov. "Linear-Quadratic Problem." In Control Theory from the Geometric Viewpoint, 223–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06404-7_16.

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Bensoussan, Alain, Jens Frehse, and Phillip Yam. "Linear Quadratic Models." In Mean Field Games and Mean Field Type Control Theory, 45–57. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8508-7_6.

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Curtain, Ruth, and Hans Zwart. "Linear Quadratic Optimal Control." In Introduction to Infinite-Dimensional Systems Theory, 385–478. New York, NY: Springer New York, 2020. http://dx.doi.org/10.1007/978-1-0716-0590-5_9.

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d’Andréa-Novel, Brigitte, and Michel De Lara. "Quadratic Optimization and Linear Filtering." In Control Theory for Engineers, 165–87. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34324-7_7.

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Koshmanenko, Volodymyr. "Quadratic Forms and Linear Operators." In Singular Quadratic Forms in Perturbation Theory, 5–58. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4619-7_2.

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Li, Xunjing, and Jiongmin Yong. "Linear Quadratic Optimal Control Problems." In Optimal Control Theory for Infinite Dimensional Systems, 361–418. Boston, MA: Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4260-4_9.

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Lü, Qi, and Xu Zhang. "Linear Quadratic Optimal Control Problems." In Mathematical Control Theory for Stochastic Partial Differential Equations, 477–565. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82331-3_13.

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Halanay, Aristide, and Judita Samuel. "Linear-Quadratic Optimization on Finite Horizon." In Mathematical Modelling: Theory and Applications, 228–69. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8915-4_8.

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Geerts, A. H. W., and M. L. J. Hautus. "Linear-Quadratic Problems and the Riccati Equation." In Perspectives in Control Theory, 39–55. Boston, MA: Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4757-2105-8_4.

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Zimmerman, Dale L. "Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector." In Linear Model Theory, 57–68. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52063-2_4.

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Conference papers on the topic "Linear quadratic theory"

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Gattami, Ather. "Generalized Linear Quadratic Control Theory." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.376772.

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Rantzer, A. "Linear quadratic team theory revisited." In 2006 American Control Conference. IEEE, 2006. http://dx.doi.org/10.1109/acc.2006.1656453.

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Rantzer, Anders. "On Prize Mechanisms in linear quadratic team theory." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434594.

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Tzortzis, Ioannis, and Charalambos D. Charalambous. "Optimum immigration policies based on Linear Quadratic Theory." In 2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP). IEEE, 2010. http://dx.doi.org/10.1109/isccsp.2010.5463388.

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Chowdhury, Sayak Ray, Xingyu Zhou, and Ness Shroff. "Adaptive Control of Differentially Private Linear Quadratic Systems." In 2021 IEEE International Symposium on Information Theory (ISIT). IEEE, 2021. http://dx.doi.org/10.1109/isit45174.2021.9518203.

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Dukeman, Greg. "Profile-Following Entry Guidance Using Linear Quadratic Regulator Theory." In AIAA Guidance, Navigation, and Control Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2002. http://dx.doi.org/10.2514/6.2002-4457.

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Lee, E., and Y. You. "An infinite dimensional quadratic theory for linear delay systems." In 26th IEEE Conference on Decision and Control. IEEE, 1987. http://dx.doi.org/10.1109/cdc.1987.272900.

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XU, YASHAN. "A LINEAR QUADRATIC CONSTRAINED OPTIMAL FEEDBACK CONTROL PROBLEM." In Control Theory and Related Topics - In Memory of Professor Xunjing Li. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812790552_0016.

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Yu, Jen-te. "An Equivalent Discrete-Time Output Feedback Linear Quadratic Regulator Theory." In 2020 7th International Conference on Control, Decision and Information Technologies (CoDIT). IEEE, 2020. http://dx.doi.org/10.1109/codit49905.2020.9263912.

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Giamberardino, Paolo Di, and Daniela Iacoviello. "A linear quadratic regulator for nonlinear SIRC epidemic model." In 2019 23rd International Conference on System Theory, Control and Computing (ICSTCC). IEEE, 2019. http://dx.doi.org/10.1109/icstcc.2019.8885727.

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Reports on the topic "Linear quadratic theory"

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Riveros, Guillermo, Felipe Acosta, Reena Patel, and Wayne Hodo. Computational mechanics of the paddlefish rostrum. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41860.

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Purpose – The rostrum of a paddlefish provides hydrodynamic stability during feeding process in addition to detect the food using receptors that are randomly distributed in the rostrum. The exterior tissue of the rostrum covers the cartilage that surrounds the bones forming interlocking star shaped bones. Design/methodology/approach – The aim of this work is to assess the mechanical behavior of four finite element models varying the type of formulation as follows: linear-reduced integration, linear-full integration, quadratic-reduced integration and quadratic-full integration. Also presented is the load transfer mechanisms of the bone structure of the rostrum. Findings – Conclusions are based on comparison among the four models. There is no significant difference between integration orders for similar type of elements. Quadratic-reduced integration formulation resulted in lower structural stiffness compared with linear formulation as seen by higher displacements and stresses than using linearly formulated elements. It is concluded that second-order elements with reduced integration and can model accurately stress concentrations and distributions without over stiffening their general response. Originality/value – The use of advanced computational mechanics techniques to analyze the complex geometry and components of the paddlefish rostrum provides a viable avenue to gain fundamental understanding of the proper finite element formulation needed to successfully obtain the system behavior and hot spot locations.
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2

Garcia-Bernardo, Javier, and Petr Janský. Profit Shifting of Multinational Corporations Worldwide. Institute of Development Studies, March 2021. http://dx.doi.org/10.19088/ictd.2021.005.

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Multinational corporations (MNCs) avoid taxes by shifting their profits from countries where real activity takes place towards tax havens, depriving governments worldwide of billions of tax revenue. Earlier research investigating the scale and distribution of profit shifting has faced methodological and data challenges, both of which we address. First, we propose a logarithmic function to model the extremely non-linear relationship between the location of profits and tax rates faced by MNCs at those locations – that is, the extreme concentration of profits without corresponding economic activity in a small number of low-tax jurisdictions. We show that the logarithmic model allows for a more accurate identification of profit shifting than linear and quadratic models. Second, we apply the logarithmic model to newly available country-by-country reporting data for large MNCs – this provides information on the activities of large MNCs, including for the first time many low- and lower-middle-income countries. We estimate that MNCs shifted US$1 trillion of profits to tax havens in 2016, which implies approximately US$200-300 billion in tax revenue losses worldwide. MNCs headquartered in the United States and Bermuda are the most aggressive at shifting profits towards tax havens, while MNCs headquartered in India, China, Mexico and South Africa the least. We establish which countries gain and lose most from profit shifting: the Cayman Islands, Luxembourg, Bermuda, Hong Kong and the Netherlands are among the most important tax havens, whereas low- and lower-middle-income countries tend to lose more tax revenue relative to their total tax revenue. Our findings thus support the arguments of low- and lower-middle-income countries that they should be represented on an equal footing during international corporate tax reform debates.
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An Input Linearized Powertrain Model for the Optimal Control of Hybrid Electric Vehicles. SAE International, March 2022. http://dx.doi.org/10.4271/2022-01-0741.

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Models of hybrid powertrains are used to establish the best combination of conventional engine power and electric motor power for the current driving situation. The model is characteristic for having two control inputs and one output constraint: the total torque should be equal to the torque requested by the driver. To eliminate the constraint, several alternative formulations are used, considering engine power or motor power or even the ratio between them as a single control input. From this input and the constraint, both power levels can be deduced. There are different popular choices for this one control input. This paper presents a novel model based on an input linearizing transformation. It is demonstrably superior to alternative model forms, in that the core dynamics of the model (battery state of energy) are linear, and the non-linearities of the model are pushed into the inputs and outputs in a Wiener/Hammerstein form. The output non-linearities can be approximated using a quadratic model, which creates a problem in the linear-quadratic framework. This facilitates the direct application of linear control approaches such as LQR control, predictive control, or Model Predictive Control (MPC). The paper demonstrates the approach using the ELectrified Vehicle library for sImulation and Optimization (ELVIO). It is an open-source MATLAB/Simulink library designed for the quick and easy simulation and optimization of different powertrain and drivetrain architectures. It follows a modelling methodology that combines backward-facing and forward-facing signal path, which means that no driver model is required. The results show that the approximated solution provides a performance that is very close to the solution of the original problem except for extreme parts of the operating range (in which case the solution tends to be driven by constraints anyway).
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