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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 127–141
(Mi at2280)
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This article is cited in 16 scientific papers (total in 16 papers)
Topical issue
Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints
T. F. Filippova, O. G. Matviichuk Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Abstract:
Methods to construct the ellipsoidal estimates of the reachability sets of a nonlinear dynamic system with scalar pulse control and uncertainty in the initial data were proposed. The considered pulse system was rearranged in the ordinary differential inclusion already without any pulse components by means of a special discontinuous time substitution. The results of the theory of ellipsoidal estimation and the theory of evolutionary equations of the multivalued states of dynamic systems under uncertainty and ellipsoidal phase constraints were used to estimate the reachability sets of the resulting nonlinear differential inclusion.
Citation:
T. F. Filippova, O. G. Matviichuk, “Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints”, Avtomat. i Telemekh., 2011, no. 9, 127–141; Autom. Remote Control, 72:9 (2011), 1911–1924
Linking options:
https://www.mathnet.ru/eng/at2280 https://www.mathnet.ru/eng/at/y2011/i9/p127
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Statistics & downloads: |
Abstract page: | 399 | Full-text PDF : | 108 | References: | 46 | First page: | 12 |
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