On the accompanying set in optimal control problems

We consider an optimal control problem with fixed initial condition and with a terminal set that is specified by finitely many nonlinear inequalities and equations. The terminal time of the control process is fixed. We obtain an effective description of the set of parameters compatible with the stat...

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Bibliographic Details
Published in:	Differential equations Vol. 45; no. 5; pp. 762 - 767
Main Author:	Nikol’skii, M. S.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01-05-2009 Springer Nature B.V
Subjects:	Control Theory Difference and Functional Equations Differential equations Euclidean space Inequality Mathematics Mathematics and Statistics Optimization Ordinary Differential Equations Partial Differential Equations Studies Admissible Control Optimal Control Problem Maximum Principle Optimal Control Theory Nonzero Vector
Online Access:	Get full text
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Summary:	We consider an optimal control problem with fixed initial condition and with a terminal set that is specified by finitely many nonlinear inequalities and equations. The terminal time of the control process is fixed. We obtain an effective description of the set of parameters compatible with the statement of the Pontryagin maximum principle.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266109050152