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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1149–1167
(Mi smj1357)
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This article is cited in 1 scientific paper (total in 1 paper)
Properties of solutions to second order evolution control systems. II
A. A. Tolstonogov Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Abstract:
We continue the research of the first part of the article. We mainly study codensity for the set of admissible “trajectory-control” pairs of a system with nonconvex constraints in the set of admissible “trajectory-control” pairs of the system with convexified constraints. We state necessary and sufficient conditions for the set of admissible “trajectory-control” pairs of a system with nonconvex constraints to be closed in the corresponding function spaces. Using an example of a control hyperbolic system, we give an interpretation of the abstract results obtained. As application we consider the minimization problem for an integral functional on solutions of a control system.
Keywords:
evolution control system, nonconvex constraint, codensity, optimal control, hyperbolic control system.
Received: 10.01.2001
Citation:
A. A. Tolstonogov, “Properties of solutions to second order evolution control systems. II”, Sibirsk. Mat. Zh., 43:5 (2002), 1149–1167; Siberian Math. J., 43:5 (2002), 926–941
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https://www.mathnet.ru/eng/smj1357 https://www.mathnet.ru/eng/smj/v43/i5/p1149
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Abstract page: | 266 | Full-text PDF : | 84 |
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