Gugat M (1999)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 1999
Publisher: Polish Academy of Sciences
Book Volume: 28
Pages Range: 7-33
Journal Issue: 1
Open Access Link: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-article-BAT2-0001-1769
The problem of time-optimal control of linear hyperbolic systems is equivalent to the computation of the root of the optimal value function of a time-parametric program, whose feasible set is described by a countable system of moment equations. To compute this root, discretized problems with a finite number of equality constraints can be used. In this paper, we show that on a certain time-interval, the optimal value functions of the discretized problems converge uniformly to the optimal value function of the original problem. We also give sufficient conditions for Lipschitz and Hölder continuity of the optimal value function of the original problem.
APA:
Gugat, M. (1999). Time-Parametric Control: Uniform Convergence of the optimal value functions of the discretized problems. Control and Cybernetics, 28(1), 7-33.
MLA:
Gugat, Martin. "Time-Parametric Control: Uniform Convergence of the optimal value functions of the discretized problems." Control and Cybernetics 28.1 (1999): 7-33.
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