Guaranteed control policy with arbitrary set of correction points for linear-quadratic system with delay
Kil Chong, Olga Kostyukova, Mariya Kurdina (2010)
Control and Cybernetics
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Displaying similar documents to “A one dimensional deterministic free boundary problem.”
Guaranteed control policy with arbitrary set of correction points for linear-quadratic system with delay
On the development of Pontryagin's Maximum Principle in the works of A. Ya. Dubovitskii and A. A. Milyutin
Andrei Dmitruk (2009)
Control and Cybernetics
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A method solving optimal control problems.
Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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On numerical approximation of an optimal control problem in linear elasticity.
Rincon, A., Liu, I-Shih (2003)
Divulgaciones Matemáticas
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Optimal control processes associated with a class of discontinuous control systems: Applications to sliding mode dynamics
Arturo Enrique Gil García, Vadim Azhmyakov, Michael V. Basin (2014)
Kybernetika
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This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees...
From optimal control to non-cooperative differential games: a homotopy approach
Alberto Bressan (2009)
Control and Cybernetics
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High-Order Control Variations and Small-Time Local Controllability
Krastanov, Mikhail (2010)
Serdica Journal of Computing
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The importance of “control variations” for obtaining local approximations of the reachable set of nonlinear control systems is well known. Heuristically, if one can construct control variations in all possible directions, then the considered control system is small-time locally controllable (STLC). Two concepts of control variations of higher order are introduced for the case of smooth control systems. The relation between these variations and the small-time local controllability is...
Superconvergence analysis and a posteriori error estimation of a Finite Element Method for an optimal control problem governed by integral equations
Ningning Yan (2009)
Applications of Mathematics
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In this paper, we discuss the numerical simulation for a class of constrained optimal control problems governed by integral equations. The Galerkin method is used for the approximation of the problem. A priori error estimates and a superconvergence analysis for the approximation scheme are presented. Based on the results of the superconvergence analysis, a recovery type a posteriori error estimator is provided, which can be used for adaptive mesh refinement.