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Continuity of admissible trajectories for state constraints control problems

Lions, Pierre-Louis; Arisawa, Mariko (1996), Continuity of admissible trajectories for state constraints control problems, Discrete and Continuous Dynamical Systems. Series A, 2, 3, p. 297-305. http://dx.doi.org/10.3934/dcds.1996.2.297

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Type
Article accepté pour publication ou publié
Date
1996
Journal name
Discrete and Continuous Dynamical Systems. Series A
Volume
2
Number
3
Publisher
American Institute of Mathematical Sciences
Pages
297-305
Publication identifier
Metadata
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Author(s)
Lions, Pierre-Louis
Arisawa, Mariko
Abstract (EN)
We consider here deterministic control problems with state constraints that is problems where admissible controls are those which keep the state of the system in a given region for all times. We prove that, given an initial state and an admissible control for that state, it is possible to construct admissible controls for all initial states such that the control and the corresponding trajectory are Lipschitz (in convenient norms) with respect to the initial condition.
Subjects / Keywords
admissible control; deterministic control problem