Bibliografías temáticas / Système polynomiaux invariants

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Literatura académica sobre el tema "Système polynomiaux invariants"

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Publicado: 25 de mayo de 2024

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Artículos de revistas sobre el tema "Système polynomiaux invariants"

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Zakharov, Victor G. "Reproducing solutions to PDEs by scaling functions." International Journal of Wavelets, Multiresolution and Information Processing 18, no. 03 (2020): 2050017. http://dx.doi.org/10.1142/s0219691320500174.

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A generalization of the multivariate Strang–Fix conditions to no scale-invariant (only shift-invariant) polynomial spaces multiplied by exponents is introduced. A method to construct nonstationary compactly supported interpolating scaling functions that the scaling functions reproduce polynomials multiplied by exponents is presented. The polynomials (multiplied by exponents) are solutions to systems of linear constant coefficient PDEs, where the symbols of the differential operators that define PDEs can be no scale-invariant and can contain constant terms. Analytically calculated graphs of the
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2

Wang, Maw-Ling, Shwu-Yien Yang, and Rong-Yeu Chang. "Application of Generalized Orthogonal Polynomials to Parameter Estimation of Time-Invariant and Bilinear Systems." Journal of Dynamic Systems, Measurement, and Control 109, no. 1 (1987): 7–13. http://dx.doi.org/10.1115/1.3143824.

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Generalized orthogonal polynomials (GOP) which can represent all types of orthogonal polynomials and nonorthogonal Taylor series are first introduced to estimate the parameters of a dynamic state equation. The integration operation matrix (IOP) and the differentiation operation matrix (DOP) of the GOP are derived. The key idea of deriving IOP and DOP of these polynomials is that any orthogonal polynomial can be expressed by a power series and vice versa. By employing the IOP approach to the identification of time invariant systems, algorithms for computation which are effective, simple and str
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Kiritsis, Konstadinos H. "Pole Assignment by Proportional-plus-derivative State Feedback for Multivariable Linear Time-invariant Systems." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 17 (June 16, 2022): 262–68. http://dx.doi.org/10.37394/23203.2022.17.30.

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In this paper the pole assignment problem by proportional-plus-derivative state feedback for multivariable linear-time invariant systems is studied. In particular, explicit necessary and sufficient conditions are established for a given polynomial with real coefficients to be characteristic polynomial of closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the calculation of proportional-plus-derivative state feedback which places the poles of closed-loop system at desired locations. Our a
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Vajda, S. "Deterministic identifiability and algebraic invariants for polynomial systems." IEEE Transactions on Automatic Control 32, no. 2 (1987): 182–84. http://dx.doi.org/10.1109/tac.1987.1104546.

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TAN, SHAOHUA, and JOOS VANDEWALLE. "Generalized invariant polynomials and the generalized companion form." International Journal of Control 45, no. 3 (1987): 811–16. http://dx.doi.org/10.1080/00207178708933771.

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Kiritsis, Konstadinos H. "Stabilization of Linear Time-Invariant Systems by State-Derivative Feedback." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 18 (March 24, 2023): 65–72. http://dx.doi.org/10.37394/23203.2023.18.7.

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In this paper is studied the stabilization problem by state-derivative feedback for linear time-invariant continuous-time systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system, obtained by state-derivative feedback from the given linear time-invariant continuous-time system. Furthermore a procedure is given for the computation of stabilizing state-derivative feedback. Our approach is based on properties of real and polynomial matrices.
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WEI, KEHUl, and B. ROSS BARMLSH. "Making a polynomial Hurwitz-invariant by choice of feedback gains†." International Journal of Control 50, no. 4 (1989): 1025–38. http://dx.doi.org/10.1080/00207178908953414.

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Mohan, B. M., and K. B. Datta. "Lumped and Distributed Parameter System Identification Via Shifted Legendre Polynomials." Journal of Dynamic Systems, Measurement, and Control 110, no. 4 (1988): 436–40. http://dx.doi.org/10.1115/1.3152709.

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In this paper, one shot operational matrix for repeated integration of the shifted Legendre polynomial basis vector is developed and double-shifted Legendre series is introduced to approximate functions of two independent variables. Then using these, systematic algorithms for the identification of linear time-invariant single input-single output continuous lumped and distributed parameter systems are presented. Illustrative examples are provided with satisfactory results.
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Augusta, Petr, and Zdeněk Hurák. "Distributed stabilisation of spatially invariant systems: positive polynomial approach." Multidimensional Systems and Signal Processing 24, no. 1 (2011): 3–21. http://dx.doi.org/10.1007/s11045-011-0152-5.

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Barabanov, A. E. "Invariance and polynomial design of strategies in the linear-quadratic game." Automation and Remote Control 67, no. 10 (2006): 1547–72. http://dx.doi.org/10.1134/s000511790610002x.

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Tesis sobre el tema "Système polynomiaux invariants"

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Vu, Thi Xuan. "Homotopy algorithms for solving structured determinantal systems." Electronic Thesis or Diss., Sorbonne université, 2020. http://www.theses.fr/2020SORUS478.

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Les systèmes polynomiaux multivariés apparaissant dans de nombreuses applications ont des structures spéciales et les systèmes invariants apparaissent dans un large éventail d'applications telles que dans l’optimisation polynomiale et des questions connexes en géométrie algébrique réelle. Le but de cette thèse est de fournir des algorithmes efficaces pour résoudre de tels systèmes structurés. Afin de résoudre le premier type de systèmes, nous concevons des algorithmes efficaces en utilisant les techniques d’homotopie symbolique. Alors que les méthodes d'homotopie, à la fois numériques et symbo
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Fernandes, Wilker Thiago Resende. "Centers and isochronicity of some polynomial differential systems." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-12092017-080613/.

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The center-focus and isochronicity problems are two classic problem in the qualitative theory of ordinary differential equations (ODEs). Although such problems have been studied during more than hundred years a complete understanding of them is far from be reached. Recently the computational algebra tools have been contributing significantly with the development of such problems. The aim of this thesis is to contribute with the studies of the center-focus and isochronicity problem. Using computational algebra tools we find conditions for the existence of two simultaneous centers for a family o
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Reinol, Alisson de Carvalho [UNESP]. "Integrabilidade e dinâmica global de sistema diferenciais polinomiais definidos em R³ com superfícies algébricas invariantes de graus 1 e 2." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/151140.

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Submitted by Alisson de Carvalho Reinol null (alissoncarv@gmail.com) on 2017-07-18T15:03:51Z No. of bitstreams: 1 tese_alisson_final.pdf: 6086108 bytes, checksum: 610534618b19a1d27cfff678d44f1a4a (MD5)<br>Approved for entry into archive by LUIZA DE MENEZES ROMANETTO (luizamenezes@reitoria.unesp.br) on 2017-07-19T14:22:46Z (GMT) No. of bitstreams: 1 reinol_ac_dr_sjrp.pdf: 6086108 bytes, checksum: 610534618b19a1d27cfff678d44f1a4a (MD5)<br>Made available in DSpace on 2017-07-19T14:22:46Z (GMT). No. of bitstreams: 1 reinol_ac_dr_sjrp.pdf: 6086108 bytes, checksum: 610534618b19a1d27cfff678d44f1a
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Pantazi, Chara. "Inverse problems of the Darboux theory of integrability for planar polynomial differential systems." Doctoral thesis, Universitat Autònoma de Barcelona, 2004. http://hdl.handle.net/10803/3083.

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Dehornoy, Pierre. "Invariants topologiques des orbites périodiques d'un champ de vecteurs." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2011. http://tel.archives-ouvertes.fr/tel-00656900.

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Cette thèse se situe à l'interface entre théorie des nœuds et théorie des systèmes dynamiques. Le thème central consiste, étant donné un champ de vecteurs dans une variété de dimension 3, à considérer ses orbites périodiques, et à s'interroger sur les informations qu'elles donnent sur le champ de vecteurs et la variété initiaux.La première partie est consacrée au flot géodésique défini sur le fibré unitaire tangentd'une surface, ou d'une orbiface, à courbure constante. L'observation de certains exemples (sphère, tore, surface modulaire) suggère la conjecture suivante, due à Étienne Ghys : l'en
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Schilli, Christian [Verfasser], Eva Barbara [Akademischer Betreuer] Zerz, and Sebastian [Akademischer Betreuer] Walcher. "Controlled and conditioned invariant varieties for polynomial control systems / Christian Schilli ; Eva Barbara Zerz, Sebastian Walcher." Aachen : Universitätsbibliothek der RWTH Aachen, 2016. http://d-nb.info/1130403009/34.

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Rezende, Alex Carlucci. "A geometria de algumas famílias tridimensionais de sistemas diferenciais quadráticos no plano." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-25112014-142038/.

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Sistemas diferenciais quadráticos planares estão presentes em muitas áreas da matemática aplicada. Embora mais de mil artigos tenham sido publicados sobre os sistemas quadráticos ainda resta muito a se conhecer sobre esses sistemas. Problemas clássicos, e em particular o XVI problema de Hilbert, estão ainda em aberto para essa família. Um dos objetivos dos pesquisadores contemporâneos é obter a classificação topológica completa dos sistemas quadráticos. Devido ao grande número de parâmetros (essa família possui doze parâmetros e, aplicando transformações afins e reescala do tempo, reduzimos es
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Corvez, Solen. "Etude de systèmes polynomiaux : contributions à la classification d'une famille de manipulateurs et au calcul des intersections de courbes A - splines : par Solen Corvez." Rennes 1, 2005. http://www.theses.fr/2005REN10020.

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Nous nous intéressons dans cette thèse à deux problèmes issus, l'un de la robotique et l'autre du dessin assisté par ordinateur, impliquant chacun l'étude de systèmes polynomiaux. La première partie de cette thèse est dédiée à la classification d'une famille de manipulateurs sériels, suivant qu'ils puissent ou non changer de posture sans passer par une singularité. Nous présentons une méthode générale d'étude d'une large classe de systèmes polynomiaux à paramètres faisant intervenir la notion nouvelle de variété disciminante. Elle nous a permis d'obtenir une classification complète dans le cas
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Lindert, Sven-Olaf. "Beiträge zur Steuerung und Regelung von mehrvariablen linearen zeitinvarianten Systemen in polynomialer Darstellung." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-24944.

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In dieser Arbeit werden lineare zeitinvariante endlichdimensionale Systeme (LTI-Systeme) mit m &amp;gt; 1 Eingängen und p &amp;gt; 1 Ausgängen untersucht (MIMO-Systeme). Diese lassen sich darstellen durch lineare Gleichungen mit Matrizen, deren Einträge Polynome im Ableitungsoperator d/dt sind. Bei Nutzung der Laplace-Transformation handelt es sich um Polynome in s. Algebraisch bilden diese einen Euklidischen Ring. Durch Überführung der Matrizen in die Hermitesche Normalform werden m Basisgrößen definiert. Die Verläufe oder Trajektorien der Basisgrößen lassen sich frei vorgegeben. Damit werden
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Prado, Marcia Lissandra Machado. "Controle robusto por alocação de polos via analise intervalar modal." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/260560.

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Orientador: Paulo Augusto Valente Ferreira<br>Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Eletrica e de Computação<br>Made available in DSpace on 2018-08-06T08:04:01Z (GMT). No. of bitstreams: 1 Prado_MarciaLissandraMachado_D.pdf: 1397184 bytes, checksum: 5c23769b43bb76b58c39a5fb95adaaee (MD5) Previous issue date: 2006<br>Resumo: Uma abordagem baseada em análise intervalar para o projeto de controladores por realimentação de estados robusta é proposta. Demonstra-se que quando especificações para alocação de pólos são representadas por conjuntos espectrais de
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Libros sobre el tema "Système polynomiaux invariants"

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Zabrodin, Anton. Quantum spin chains and classical integrable systems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797319.003.0013.

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This chapter is a review of the recently established quantum-classical correspondence for integrable systems based on the construction of the master T-operator. For integrable inhomogeneous quantum spin chains with gl(N)-invariant R-matrices in finite-dimensional representations, the master T-operator is a sort of generating function for the family of commuting quantum transfer matrices depending on an infinite number of parameters. Any eigenvalue of the master T-operator is the tau-function of the classical modified KP hierarchy. It is a polynomial in the spectral parameter which is identifie
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Invitation to Nonlinear Algebra. American Mathematical Society, 2021.

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Capítulos de libros sobre el tema "Système polynomiaux invariants"

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Mover, Sergio, Alessandro Cimatti, Alberto Griggio, Ahmed Irfan, and Stefano Tonetta. "Implicit Semi-Algebraic Abstraction for Polynomial Dynamical Systems." In Computer Aided Verification. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81685-8_25.

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AbstractSemi-algebraic abstraction is an approach to the safety verification problem for polynomial dynamical systems where the state space is partitioned according to the sign of a set of polynomials. Similarly to predicate abstraction for discrete systems, the number of abstract states is exponential in the number of polynomials. Hence, semi-algebraic abstraction is expensive to explicitly compute and then analyze (e.g., to prove a safety property or extract invariants).In this paper, we propose an implicit encoding of the semi-algebraic abstraction, which avoids the explicit enumeration of the abstract states: the safety verification problem for dynamical systems is reduced to a corresponding problem for infinite-state transition systems, allowing us to reuse existing model-checking tools based on Satisfiability Modulo Theory (SMT). The main challenge we solve is to express the semi-algebraic abstraction as a first-order logic formula that is linear in the number of predicates, instead of exponential, thus letting the model checker lazily explore the exponential number of abstract states with symbolic techniques. We implemented the approach and validated experimentally its potential to prove safety for polynomial dynamical systems.
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Rodríguez-Carbonell, Enric, and Ashish Tiwari. "Generating Polynomial Invariants for Hybrid Systems." In Hybrid Systems: Computation and Control. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-31954-2_38.

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Artés, Joan C., Jaume Llibre, Dana Schlomiuk, and Nicolae Vulpe. "Invariants in mathematical classification problems." In Geometric Configurations of Singularities of Planar Polynomial Differential Systems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-50570-7_4.

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Chesi, Graziano, Andrea Garulli, Alberto Tesi, and Antonio Vicino. "Robustness with Time-invariant Uncertainty." In Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems. Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-781-3_4.

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Artés, Joan C., Jaume Llibre, Dana Schlomiuk, and Nicolae Vulpe. "Invariant theory of planar polynomial vector fields." In Geometric Configurations of Singularities of Planar Polynomial Differential Systems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-50570-7_5.

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Kofnov, Andrey, Marcel Moosbrugger, Miroslav Stankovič, Ezio Bartocci, and Efstathia Bura. "Moment-Based Invariants for Probabilistic Loops with Non-polynomial Assignments." In Quantitative Evaluation of Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-16336-4_1.

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Sogokon, Andrew, Khalil Ghorbal, Paul B. Jackson, and André Platzer. "A Method for Invariant Generation for Polynomial Continuous Systems." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-49122-5_13.

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Hacinliyan, Avadis Simon, Orhan Ozgur Aybar, and Ilknur Kusbeyzi Aybar. "Invariants, Attractors and Bifurcation in Two Dimensional Maps with Polynomial Interaction." In Chaos and Complex Systems. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33914-1_47.

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Caminata, Alessio, and Elisa Gorla. "Solving Multivariate Polynomial Systems and an Invariant from Commutative Algebra." In Arithmetic of Finite Fields. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-68869-1_1.

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Schilli, Christian, Eva Zerz, and Viktor Levandovskyy. "Controlled and Conditioned Invariance for Polynomial and Rational Feedback Systems." In Algebraic and Symbolic Computation Methods in Dynamical Systems. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-38356-5_10.

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Actas de conferencias sobre el tema "Système polynomiaux invariants"

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Goubault, Eric, Jacques-Henri Jourdan, Sylvie Putot, and Sriram Sankaranarayanan. "Finding non-polynomial positive invariants and lyapunov functions for polynomial systems through Darboux polynomials." In 2014 American Control Conference - ACC 2014. IEEE, 2014. http://dx.doi.org/10.1109/acc.2014.6859330.

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Mohsenizadeh, Navid, Swaroop Darbha, and Shankar P. Bhattacharyya. "Synthesis of Digital PID Controllers for Discrete-Time Systems With Guaranteed Non-Overshooting Transient Response." In ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASMEDC, 2011. http://dx.doi.org/10.1115/dscc2011-6196.

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In this paper, we present a new method of synthesizing digital PID controllers for discrete-time, Linear Time Invariant (LTI) Systems satisfying a class of transient response specifications. The problem of synthesizing a controller to achieve desirable transient specifications, such as requiring the transient response to be within an allowable range of overshoot, can be carried out as a problem of guaranteeing the impulse response of an appropriate closed loop error transfer function to be non-negative. An earlier result by the authors provides necessary and sufficient conditions for the impul
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Emami, Tooran, and John M. Watkins. "Complementary Sensitivity Design of PID Controllers for Arbitrary-Order Transfer Functions With Time Delay." In ASME 2008 Dynamic Systems and Control Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/dscc2008-2205.

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A graphical technique for finding all proportional integral derivative (PID) controllers that stabilize a given single-input-single-output (SISO) linear time-invariant (LTI) system of any order system with time delay has been solved. In this paper a method is introduced that finds all PID controllers that also satisfy an H∞ complementary sensitivity constraint. This problem can be solved by finding all PID controllers that simultaneously stabilize the closed-loop characteristic polynomial and satisfy constraints defined by a set of related complex polynomials. A key advantage of this procedure
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Spires, J. M., and S. C. Sinha. "Response of Linear Time-Periodic Systems Subjected to Stochastic Excitations: A Chebyshev Polynomial Approach." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0336.

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Abstract In many situations engineering systems modeled by a system of linear second order differential equations with periodic damping and stiffness matrices are subjected to stochastic excitations. It has been shown that the fundamental solution matrix for such systems can be efficiently computed using a Chebyshev polynomial series solution technique. Further, it has been shown that the Liapunov-Floquet transformation matrix can be computed, and the original time-periodic system can be put into a time invariant form. In this paper, these techniques are applied in finding the transient mean s
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Liu, Jiang, Naijun Zhan, and Hengjun Zhao. "Computing semi-algebraic invariants for polynomial dynamical systems." In the ninth ACM international conference. ACM Press, 2011. http://dx.doi.org/10.1145/2038642.2038659.

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Ben Sassi, Mohamed Amin, Antoine Girard, and Sriram Sankaranarayanan. "Iterative computation of polyhedral invariants sets for polynomial dynamical systems." In 2014 IEEE 53rd Annual Conference on Decision and Control (CDC). IEEE, 2014. http://dx.doi.org/10.1109/cdc.2014.7040384.

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O’Connor, Sam, Mark Plecnik, Aravind Baskar, and James Joo. "Complete Solutions for the Approximate Synthesis of Spherical Four-Bar Function Generators." In ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-116895.

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Abstract Kinematic synthesis to meet an approximate motion specification naturally forms a constrained optimization problem. In this work, we conduct global design searches by direct computation of all critical points through stationarity conditions. The idea is not new, but performed at scale is only possible through modern polynomial homotopy continuation solvers. Such a complete computation finds all minima, including the global, serving as a powerful design exploration technique. We form equality constrained objective functions that pertain to the synthesis of spherical four-bar linkages f
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Xue, Bai, Qiuye Wang, Naijun Zhan, and Martin Fränzle. "Robust invariant sets generation for state-constrained perturbed polynomial systems." In HSCC '19: 22nd ACM International Conference on Hybrid Systems: Computation and Control. ACM, 2019. http://dx.doi.org/10.1145/3302504.3311810.

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Sharma, Ashu, and Subhash C. Sinha. "On Computation of Approximate Lyapunov-Perron Transformations." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97702.

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Abstract Many dynamical systems can be modeled by a set of linear/nonlinear ordinary differential equations with quasi-periodic coefficients. Application of Lyapunov-Perron (L-P) transformations to such systems produce dynamically equivalent systems in which the linear parts are time-invariant. In this work, a technique for the computation of approximate L-P transformations is suggested. First, a quasi-periodic system is replaced by a periodic system with a ‘suitable’ large principal period to which Floquet theory can be applied. Then, the state transition matrix (STM) of the periodic system i
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Vu, Thi Xuan. "Computing Critical Points for Algebraic Systems Defined by Hyperoctahedral Invariant Polynomials." In ISSAC '22: International Symposium on Symbolic and Algebraic Computation. ACM, 2022. http://dx.doi.org/10.1145/3476446.3536181.

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