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Avtomatika i Telemekhanika, 2015, Issue 3, Pages 22–31
(Mi at14195)
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This article is cited in 3 scientific papers (total in 3 papers)
Nonlinear Systems
Algorithm for piecewise-linear approximation of the reachable set boundary
A. Yu. Gornov, E. A. Finkel'shtein Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Abstract:
The studies and approaches to estimating the reachable sets of the control systems were reviewed in brief. An algorithm for piecewise-linear approximation of the boundary of the reachable set was proposed on the basis of solving a special problem of optimal control in terms of the criterion of volume maximum of the corresponding estimate of the reachable set. The results of computer experiments were presented.
Citation:
A. Yu. Gornov, E. A. Finkel'shtein, “Algorithm for piecewise-linear approximation of the reachable set boundary”, Avtomat. i Telemekh., 2015, no. 3, 22–31; Autom. Remote Control, 76:3 (2015), 385–393
Linking options:
https://www.mathnet.ru/eng/at14195 https://www.mathnet.ru/eng/at/y2015/i3/p22
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