Дисертації з теми "Game theory and optimal control"
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Shrestha, Bikash. "An Engage or Retreat Differential Game with Two Targets." Wright State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=wright1503319559060634.
Повний текст джерелаChandrasekar, Swathi. "An Engage or Retreat differential game with Mobile Agents." Wright State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=wright1503716818890551.
Повний текст джерелаReimann, Johan Michael. "Using Multiplayer Differential Game Theory to Derive Efficient Pursuit-Evasion Strategies for Unmanned Aerial Vehicles." Diss., Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/16151.
Повний текст джерелаAlam, Assad. "Fuel-Efficient Distributed Control for Heavy Duty Vehicle Platooning." Licentiate thesis, KTH, Skolan för elektro- och systemteknik (EES), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-42378.
Повний текст джерелаQC 20111012
Aduba, Chukwuemeka Nnabuife. "N-Player Statistical Nash Game Control: M-th Cost Cumulant Optimization." Diss., Temple University Libraries, 2014. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/298838.
Повний текст джерелаPh.D.
Game theory is the study of tactical interactions involving conflicts and cooperations among multiple decision makers called players with applications in diverse disciplines such as economics, biology, management, communication networks, electric power systems and control. This dissertation studies a statistical differential game problem where finite N players optimize their system performance by shaping the distribution of their cost function through cost cumulants. This research integrates game theory with statistical optimal control theory and considers a statistical Nash non-cooperative nonzero-sum game for a nonlinear dynamic system with nonquadratic cost functions. The objective of the statistical Nash game is to find the equilibrium solution where no player has the incentive to deviate once other players maintain their equilibrium strategy. The necessary condition for the existence of the Nash equilibrium solution is given for the m-th cumulant cost optimization using the Hamilton-Jacobi-Bellman (HJB) equations. In addition, the sufficient condition which is the verification theorem for the existence of Nash equilibrium solution is given for the m-th cumulant cost optimization using the Hamilton-Jacobi-Bellman (HJB) equations. However, solving the HJB equations even for relatively low dimensional game problem is not trivial, we propose to use neural network approximate method to find the solution of the HJB partial differential equations for the statistical game problem. Convergence proof of the neural network approximate method solution to exact solution is given. In addition, numerical examples are provided for the statistical game to demonstrate the applicability of the proposed theoretical developments.
Temple University--Theses
Raiss, El Fenni Mohammed. "Opportunistic spectrum usage and optimal control in heterogeneous wireless networks." Phd thesis, Université d'Avignon, 2012. http://tel.archives-ouvertes.fr/tel-00907120.
Повний текст джерелаGaddoni, Giacomo. "Modeling of Evolutionary Cancer Dynamics and Optimal Treatment via Dynamic Programming." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021.
Знайти повний текст джерелаFu, Guanxing. "Maximum Principle for Reflected BSPDE and Mean Field Game Theory with Applications." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19248.
Повний текст джерелаThe thesis is concerned with two topics: backward stochastic partial differential equations and mean filed games. In the first part, we establish a maximum principle for quasi-linear reflected backward stochastic partial differential equations (RBSPDEs) on a general domain by using a stochastic version of De Giorgi’s iteration. The maximum principle for RBSPDEs on a bounded domain and the maximum principle for BSPDEs on a general domain are obtained as byproducts. Finally, the local behavior of the weak solutions is considered. In the second part, we first establish the existence of equilibria to mean field games (MFGs) with singular controls. We also prove that the solutions to MFGs with no terminal cost and no cost from singular controls can be approximated by the solutions, respectively control rules, for MFGs with purely regular controls. Our existence and approximation results strongly hinge on the use of the Skorokhod M1 topology on the space of càdlàg functions. Subsequently, we consider an MFG of optimal portfolio liquidation under asymmetric information. We prove that the solution to the MFG can be characterized in terms of a forward backward stochastic differential equation (FBSDE) with possibly singular terminal condition on the backward component or, equivalently, in terms of an FBSDE with finite terminal value, yet singular driver. We apply the fixed point argument to prove the existence and uniqueness on a short time horizon in a weighted space. Our existence and uniqueness result allows to prove that our MFG can be approximated by a sequence of MFGs without state constraint. The final result of the second part is a leader follower MFG with terminal constraint arising from optimal portfolio liquidation between hierarchical agents. We show the problems for both follower and leader reduce to the solvability of singular FBSDEs, which can be solved by a modified approach of the previous result.
Pitcher, Ashley Brooke. "Mathematical modelling and optimal control of constrained systems." Thesis, University of Oxford, 2009. http://ora.ox.ac.uk/objects/uuid:044a26ab-99dc-4b34-b4a3-04e5c0d61ba0.
Повний текст джерелаLuo, Yi. "DECISION MAKING UNDER UNCERTAINTY IN DYNAMIC MULTI-STAGE ATTACKER-DEFENDER GAMES." Diss., The University of Arizona, 2011. http://hdl.handle.net/10150/204331.
Повний текст джерелаOzel, Omur. "Optimal Resource Allocation Algorithms For Efficient Operation Of Wireless Networks." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610732/index.pdf.
Повний текст джерелаOlwal, Thomas. "Dynamic power control in backbone wireless mesh networks : a decentralized approach." Phd thesis, Université Paris-Est, 2010. http://tel.archives-ouvertes.fr/tel-00598277.
Повний текст джерелаSanchis, Cano Ángel. "Economic analysis of wireless sensor-based services in the framework of the Internet of Things. A game-theoretical approach." Doctoral thesis, Universitat Politècnica de València, 2018. http://hdl.handle.net/10251/102642.
Повний текст джерелаThe communications world is moving from a standalone devices scenario to a all-connected scenario known as Internet of Things (IoT), where billions of devices will be connected to the Internet through mobile and fixed networks. In this context, there are several challenges to face, from the development of new standards to the study of the economical viability of the different future scenarios. In this dissertation we have focused on the study of the economic viability of different scenarios using concepts of microeconomics, game theory, non-linear optimization, network economics and wireless networks. The dissertation analyzes the transition from a Human Type Communications (HTC) to a Machine Type Communications (MTC) centered network from an economic point of view. The first scenario is designed to focus on the first stages of the transition, where HTC and MTC traffic are served on a common network infrastructure. The second scenario analyzes the provision of connectivity service to MTC users using a dedicated network infrastructure, while the third stage is centered in the analysis of the provision of services based on the MTC data over the infrastructure studied in the previous scenario. Thanks to the analysis of all the scenarios we have observed that the transition from HTC users-centered networks to MTC networks is possible and that the provision of services in such scenarios is viable. In addition, we have observed that the behavior of the users is essential in order to determine the viability of a business model, and therefore, it is needed to study their behavior and preferences in depth in future studios. Specifically, the most relevant factors are the sensitivity of the users to the delay and to the amount of data gathered by the sensors. We also have observed that the differentiation of the traffic in categories improves the usage of the networks and allows to create new services thanks to the data that otherwise would not be used, improving the monetization of the infrastructure and the data. In addition, we have shown that the capacity provision is a valid mechanism for providers' profit optimization, as an alternative to the pricing mechanisms. Finally, it has been demonstrated that it is possible to create dedicated roles to offer IoT services in the telecommunications market, specifically, the IoT-SPs, which provide wireless-sensor-based services to the final users using a third party infrastructure. Summarizing, this dissertation tries to demonstrate the economic viability of the future IoT networks business models as well as the emergence of new business opportunities and roles in order to justify economically the development and implementation of the new technologies required to offer massive wireless access to machine devices.
El món de les telecomunicacions està canviant d'un escenari on únicament les persones estaven connectades a un model on pràcticament tots els dispositius i sensors es troben connectats, també conegut com a Internet de les Coses (IoT) , on milers de milions de dispositius es connectaran a Internet a través de connexions mòbils i xarxes fixes. En aquest context, hi ha molts reptes que superar, des del desenrotllament de nous estàndards de comunicació a l'estudi de la viabilitat econòmica dels possibles escenaris futurs. En aquesta tesi ens hem centrat en l'estudi de la viabilitat econòmica de diferents escenaris per mitjà de l'ús de conceptes de microeconomia, teoria de jocs, optimització no lineal, economia de xarxes i xarxes inalàmbriques. La tesi analitza la transició des de xarxes centrades en el servici de tràfic HTC a xarxes centrades en tràfic MTC des d'un punt de vista econòmic. El primer escenari ha sigut dissenyat per a centrar-se en les primeres etapes de la transició, en la que ambdós tipus de tràfic són servits davall la mateixa infraestructura de xarxa. En el segon escenari analitzem la següent etapa, en la que el servici als usuaris MTC es realitza per mitjà d'una infraestructura dedicada. Finalment, el tercer escenari analitza la provisió de servicis basats en MTC a usuaris finals, per mitjà de la infraestructura analitzada en l'escenari anterior. Als paràgrafs següents es descriu amb més detall cada escenari. Gràcies a l'anàlisi de tots els escenaris, hem observat que la transició de xarxes centrades en usuaris HTC a xarxes MTC és possible i que la provisió de servicis en tals escenaris és viable. A més a més, hem observat que el comportament dels usuaris és essencial per a determinar la viabilitat dels diferents models de negoci, i per tant, és necessari estudiar el comportament i les preferències dels usuaris en profunditat en estudis futurs. Específicament, els factors més rellevants són la sensibilitat dels usuaris al retard en les dades recopilats pels sensors i la quantitat dels mateixos. També hem observat que la diferenciació del tràfic en categories millora l'ús de les xarxes i permet crear nous servicis emprant dades que, d'una altra manera, no s'aprofitarien, la qual cosa ens permet millorar la monetització de la infraestructura. També hem demostrat que la provisió de capacitat és un mecanisme vàlid, alternatiu a la fixació de preus, per a l'optimització dels beneficis dels proveïdors de servici. Finalment, s'ha demostrat que és possible crear rols específics per a oferir servicis IoT en el mercat de les telecomunicacions, específicament, els IoT-SPs, que proporcionen servicis basats en sensors inalàmbrics utilitzant infraestructures d'accés de tercers i les seues pròpies xarxes de sensors. En resum, en aquesta tesi hem intentat demostrar la viabilitat econòmica de models de negoci basats en xarxes futures IoT, així com l'aparició de noves oportunitats i rols de negoci, la qual cosa ens permet justificar econòmicament el desenrotllament i la implementació de les tecnologies necessàries per a oferir servicis d'accés inalàmbric massiu a dispositius MTC.
Sanchis Cano, Á. (2018). Economic analysis of wireless sensor-based services in the framework of the Internet of Things. A game-theoretical approach [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/102642
TESIS
Ozkan, Gulru F. "Essays on knowledge management strategies in new product development." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/28282.
Повний текст джерелаCommittee Chair: Cheryl Gaimon; Committee Co-Chair: Stylianos Kavadias; Committee Member: Marco Ceccagnoli; Committee Member: Pinar Keskinocak; Committee Member: Vinod Singhal.
Masoero, Marco. "On the long time behavior of potential MFG." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLED057.
Повний текст джерелаThe purpose of this thesis is to shed some light on the long time behavior of potential Mean Field Games (MFG), regardless of the convexity of the minimization problem associated. For finite dimensional Hamiltonian systems, problems of the same nature have been addressed through the so-called weak KAM theory. We transpose many results of this theory in the infinite dimensional context of potential MFG. First, we characterize through an ergodic approximation the limit value associated to time dependent MFG systems. We provide explicit examples where this value is strictly greater than the energy level of stationary solutions of the ergodic MFG system. This implies that optimal trajectories of time dependent MFG systems cannot converge to stationary configurations. Then, we prove the convergence of the minimization problem associated to time dependent MFGs to a solution of the critical Hamilton-Jacobi equation in the space of probability measures. In addition, we show a mean field limit for the ergodic constant associated with the corresponding finite dimensional Hamilton-Jacobi equation. In the last part we characterize the limit of the infinite horizon discounted minimization problem that we use for the ergodic approximation in the first part of the manuscript
Wang, Wen-Kai. "Application of stochastic differential games and real option theory in environmental economics." Thesis, University of St Andrews, 2009. http://hdl.handle.net/10023/893.
Повний текст джерелаZhang, Qi. "Applied game theory and optimal mechanism design." Thesis, University of Southampton, 2014. https://eprints.soton.ac.uk/370438/.
Повний текст джерелаSantos, Sérgio Pereira dos. "Applications of game theory to optimal fishery management." Master's thesis, University of Manchester, 1995. http://hdl.handle.net/10400.1/4593.
Повний текст джерелаThis dissertation analyses the optimal management of fisheries in the framework of dynamic game theory. The analysis rests upon a blend of the economic model of the fishery confined to the waters of a single state, with the theory of dynamic games. In order to accomplish this objective, this dissertation has been organised as follows. Chapter 1 presents some background material concerning noncooperative and cooperative game theory as well as a general formulation of continuous-time infinite dynamic games, also known as differential games. In Chapter 2 we provide some material concerning the dynamics of the fishery by summarising the Gordon-Schaefer bioeconomic model, which provides the foundation for our analysis. Finally, in Chapter 3, and by combining the subject presented in the preceding chapters, we examine the insights which dynamic game theory can provide in analysing fisheries management.
Bellon, James. "Riccati Equations in Optimal Control Theory." Digital Archive @ GSU, 2008. http://digitalarchive.gsu.edu/math_theses/46.
Повний текст джерелаYiu, Ka Fai Cedric. "Aerodynamic design via optimal control theory." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.317867.
Повний текст джерелаGiannakopoulos, Ioannis. "Duality theory for optimal mechanism design." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:90e1fdec-8803-4306-8985-5106c457f34d.
Повний текст джерелаZenios, Stefanos A. (Stefanos Andrea). "Health care applications of optimal control theory." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/11042.
Повний текст джерелаSilva, Francisco Jose. "Interior penalty approximation for optimal control problems. Optimality conditions in stochastic optimal control theory." Palaiseau, Ecole polytechnique, 2010. http://pastel.archives-ouvertes.fr/docs/00/54/22/95/PDF/tesisfjsilva.pdf.
Повний текст джерелаRésumé anglais : This thesis is divided in two parts. In the first one we consider deterministic optimal control problems and we study interior approximations for two model problems with non-negativity constraints. The first model is a quadratic optimal control problem governed by a nonautonomous affine ordinary differential equation. We provide a first-order expansion for the penalized state an adjoint state (around the corresponding state and adjoint state of the original problem), for a general class of penalty functions. Our main argument relies on the following fact: if the optimal control satisfies strict complementarity conditions for its Hamiltonian, except for a set of times with null Lebesgue measure, the functional estimates of the penalized optimal control problem can be derived from the estimates of a related finite dimensional problem. Our results provide three types of measure to analyze the penalization technique: error estimates of the control, error estimates of the state and the adjoint state and also error estimates for the value function. The second model we study is the optimal control problem of a semilinear elliptic PDE with a Dirichlet boundary condition, where the control variable is distributed over the domain and is constrained to be non-negative. Following the same approach as in the first model, we consider an associated family of penalized problems, whose solutions define a central path converging to the solution of the original one. In this fashion, we are able to extend the results obtained in the ODE framework to the case of semilinear elliptic PDE constraints. In the second part of the thesis we consider stochastic optimal control problems. We begin withthe study of a stochastic linear quadratic problem with non-negativity control constraints and we extend the error estimates for the approximation by logarithmic penalization. The proof is based is the stochastic Pontryagin's principle and a duality argument. Next, we deal with a general stochastic optimal control problem with convex control constraints. Using the variational approach, we are able to obtain first and second-order expansions for the state and cost function, around a local minimum. This analysis allows us to prove general first order necessary condition and, under a geometrical assumption over the constraint set, second-order necessary conditions are also established
Turner, P. M. "Optimal stabilisation policies in interdependent economies : a game theoretic approach." Thesis, University of Warwick, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.356475.
Повний текст джерелаHunt, K. J. "Stochastic optimal control theory with application in self-tuning control." Thesis, University of Strathclyde, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382399.
Повний текст джерелаSeywald, Hans. "Optimal control problems with switching points." Diss., This resource online, 1990. http://scholar.lib.vt.edu/theses/available/etd-07282008-135220/.
Повний текст джерелаShaikh, Mohammad Shahid. "Optimal control of hybrid systems : theory and algorithms." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85095.
Повний текст джерелаIn this thesis we first formulate a class of hybrid optimal control problems (HOCPs) for systems with controlled and autonomous location transitions and then present necessary conditions for hybrid system trajectory optimality. These necessary conditions constitute generalizations of the standard Minimum Principle (MP) and are presented for the cases of open bounded control value sets and compact control value sets. These conditions give information about the behaviour of the Hamiltonian and the adjoint process at both autonomous and controlled switching times.
Such proofs of the necessary conditions for hybrid systems optimality which can be found in the literature are sufficiently complex that they are difficult to verify and use; in contrast, the formulation of the HOCP given in Chapter 2 of this thesis, together with the use of (i) classical variational methods and more recent needle variation techniques, and (ii) a local controllability condition, called the small time tubular fountain (STTF) condition, make the proofs in that chapter comparatively accessible. We note that the STTF condition is used to establish the adjoint and Hamiltonian jump conditions in the autonomous switchings case.
A hybrid Dynamic Programming Principle (HDPP) generalizing the standard dynamic programming principle to hybrid systems is also derived and this leads to hybrid Hamilton-Jacobi-Bellman (HJB) equation which is then used to establish a verification theorem within this framework. (Abstract shortened by UMI.)
Nedeljković, Nikola. "The LORE computational method in optimal control theory." Thesis, Nedeljković, Nikola (1985) The LORE computational method in optimal control theory. PhD thesis, Murdoch University, 1985. https://researchrepository.murdoch.edu.au/id/eprint/51530/.
Повний текст джерелаHadjiyiannis, Michael Jason. "Decision under uncertainty : problems in control theory, robust optimization and game theory." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/24965.
Повний текст джерелаGuo, Chaoyang. "Some optimal control problems in mathematical finance." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0022/NQ39269.pdf.
Повний текст джерелаAmann, Notker. "Optimal algorithms for iterative learning control." Thesis, University of Exeter, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337751.
Повний текст джерелаGordon, Dinah Rose. "Applications of nonstandard analysis in differential game theory." Thesis, University of Hull, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318386.
Повний текст джерелаAbou, El-Nasr Mohamad. "Timing control of manufacturing systems an optimal control perspective." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/14847.
Повний текст джерелаHuang, Hui. "Optimal control of piecewise continuous stochastic processes." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/23831217.html.
Повний текст джерела姚濬帆 and Chun-fan Yiu. "Evolutionary synthesis of time-optimal control policies." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B29866170.
Повний текст джерелаCheng, Tak Sum. "Stochastic optimal control in randomly-branching environments." HKBU Institutional Repository, 2006. http://repository.hkbu.edu.hk/etd_ra/713.
Повний текст джерелаGoebel, Rafal. "Convexity, convergence and feedback in optimal control /." Thesis, Connect to this title online; UW restricted, 2000. http://hdl.handle.net/1773/5792.
Повний текст джерелаYiu, Chun-fan. "Evolutionary synthesis of time-optimal control policies /." Hong Kong : University of Hong Kong, 2002. http://sunzi.lib.hku.hk/hkuto/record.jsp?B25151058.
Повний текст джерелаAchmatowicz, Richard L. (Richard Leon). "Optimal control problems on an infinite time horizon." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=66052.
Повний текст джерелаShedied, Samy Aly. "Optimal Control for a Two Player Dynamic Pursuit Evasion Game; The Herding Problem." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/26110.
Повний текст джерелаPh. D.
Ranga, Mithun Kumar. "Fixed order optimal control using genetic algorithms /." free to MU campus, to others for purchase, 2004. http://wwwlib.umi.com/cr/mo/fullcit?p1426097.
Повний текст джерелаKomali, Ramakant S. "Game-Theoretic Analysis of Topology Control." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/28358.
Повний текст джерелаPh. D.
Pavlic, Theodore P. "Optimal Foraging Theory Revisited." Connect to resource, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1181936683.
Повний текст джерелаTsai, Mi-Ching. "Super-optimal control system design for multivariable plants." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.238170.
Повний текст джерелаSweriduk, Gregory. "Robust control with fixed-order dynamic compensators : a differential game approach." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/16891.
Повний текст джерелаAndrews, Timothy Paul. "An existence theory for optimal control problems with time delays." Thesis, Imperial College London, 1989. http://hdl.handle.net/10044/1/47332.
Повний текст джерелаThomas, Brian S. S. M. Massachusetts Institute of Technology. "Optimal control theory applied to ship maneuvering in restricted waters." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33591.
Повний текст джерелаIncludes bibliographical references (leaves 70-71).
Ship drivers have long understood that powerful interaction forces exist when ships operate in close proximity to rigid boundaries or other vessels. Controlling the effects of these forces has been traditionally handled by experienced helmsmen. The purpose of this research is to apply modern optimal control theory to these maneuvering scenarios in order to show that helmsman may some day be replaced by modern controllers. The maneuvering equations of motion are cast in a linear state space framework, permitting the design of a linear quadratic (LQ) controller. In addition, the hydrodynamic effects are modeled using potential flow theory in order to simulate the interaction forces and test the efficacy of the controller. This research demonstrates that the linear quadratic regulator effectively controls ship motions due to the presence of a boundary or other vessel over a broad range of speeds and separation distances. Furthermore, the method proposed provides stable control in the presence of additional. stochastic disturbances.
by Brian S. Thomas.
S.M.
Paião, Ana Pedro Lemos. "Introduction to optimal control theory and its application to diabetes." Master's thesis, Universidade de Aveiro, 2015. http://hdl.handle.net/10773/16806.
Повний текст джерелаO Cálculo das Variações e o Controlo Ótimo são dois ramos da Matemática que estão muito interligados entre si e também com outras áreas. Como exemplo, podemos citar a Geometria, a Física, a Mecânica, a Economia, a Biologia, bem como a Medicina. Nesta tese estudamos vários tipos de problemas variacionais e de Controlo Ótimo, estabelecendo a ligação entre alguns destes. Fazemos uma breve introdução sobre a Diabetes Mellitus, uma vez que estudamos um modelo matemático que traduz a interação entre a glicose e a insulina no sangue por forma a otimizar o estado de uma pessoa com diabetes tipo 1.
The Calculus of Variations and the Optimal Control are two branches of Mathematics that are very interconnected with each other and with other areas. As example, we can mention Geometry, Physics, Mechanics, Economics, Biology and Medicine. In this thesis we study various types of variational problems and of Optimal Control, establishing the connection between some of these. We make a brief introduction to the Diabetes Mellitus, because we study a mathematical model that reflects the interaction between glucose and insulin in the blood in order to optimize the state of a person with diabetes type 1.
Whittle, Andrew John. "Gypsy moth modelling with an application of optimal control theory." Thesis, University of Bath, 2004. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412345.
Повний текст джерелаSpjøtvold, Jørgen. "Parametric Programming in Control Theory." Doctoral thesis, Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, 2008. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-2198.
Повний текст джерелаThe main contributions in this thesis are advances in parametric programming. The thesis is divided into three parts; theoretical advances, application areas and constrained control allocation. The first part deals with continuity properties and the structure of solutions to convex parametric quadratic and linear programs. The second part focuses on applications of parametric quadratic and linear programming in control theory. The third part deals with constrained control allocation and how parametric programming can be used to obtain explicit solutions to this problem.