ISSN:
1573-2878
Keywords:
Control theory
;
minimum-time problems
;
controllability
;
viability
;
discretization
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For optimal control problems in $$\mathbb{R}^n $$ with given target and free final time, we obtain a necessary and sufficient condition for local Lipschitz continuity of the optimal value as a function of the initial position. The target can be an arbitrary closed set, and the dynamics can depend in a measurable way on the time. As a limit case of this condition, we obtain a characterization of the viability property of the target, in terms of perpendiculars to the target instead of tangent cones. As an application, we analyze the convergence of certain discretization schemes for time-optimal problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022683628650
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