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Avtomatika i Telemekhanika, 2015, Issue 3, Pages 44–61 (Mi at14197)  
This article is cited in 12 scientific papers (total in 12 papers)

Nonlinear Systems

Invariant sets for the nonlinear impulsive control systems

O. N. Samsonyuk

Institute of System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (266 kB) Citations (12)
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Abstract: The nonlinear impulsive control system with trajectories of bounded variation is considered. The notions of strong and weak $V$-invariance of a closed set relative to the impulsive control system are introduced. These notions are adapted to the system nonautonomy in the so-called “fast” time, in which the impulsive dynamics occurs. Invariance criteria in the form of the proximal Hamilton–Jacobi equalities were proved.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 04.02.2013
English version:
Automation and Remote Control, 2015, Volume 76, Issue 3, Pages 405–418
DOI: https://doi.org/10.1134/S0005117915030054
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. N. Samsonyuk, “Invariant sets for the nonlinear impulsive control systems”, Avtomat. i Telemekh., 2015, no. 3, 44–61; Autom. Remote Control, 76:3 (2015), 405–418
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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