Asymptotic stability conditions for some classes of mechanical systems with switched nonlinear force fields - Details

Author：

Aleksandrov, A.Yu. (Aleksandrov, A.Yu..) | Aleksandrova, E.B. (Aleksandrova, E.B..) | Lakrisenko, P.A. (Lakrisenko, P.A..) | Platonov, A.V. (Platonov, A.V..) | Chen, Y. (Chen, Y..)

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Scopus

Abstract：

Certain　classes　of　switched　mechanical　systems　with　nonlinear　poten-　tial　and　dissipative　forces　are　studied.　By　the　use　of　the　differential　inequalities　method　and　multiple　Lyapunov　functions,　conditions　on　switching　law　guaranteeing　the　asymptotic　stability　of　the　trivial　equilibrium　position　of　the　considered　systems　are　obtained.　An　example　and　the　results　of　a　computer　simulation　are　presented　to　demonstrate　the　effectiveness　of　the　proposed　approaches.　©　2015　InforMath　Publishing　Group.

Keyword：

Asymptotic stability; Differential inequalities; Dwell-time; Mechanical systems; Multiple Lyapunov functions; Switched force fields

Author Community：

[ 1 ] [Aleksandrov, A.Yu.]Saint Petersburg State University, 35 Universitetskij Pr., Petrodvorets, St. Petersburg, 198504, Russian Federation
[ 2 ] [Aleksandrova, E.B.]Saint Petersburg State University, 35 Universitetskij Pr., Petrodvorets, St. Petersburg, 198504, Russian Federation
[ 3 ] [Lakrisenko, P.A.]Saint Petersburg State University, 35 Universitetskij Pr., Petrodvorets, St. Petersburg, 198504, Russian Federation
[ 4 ] [Platonov, A.V.]Saint Petersburg State University, 35 Universitetskij Pr., Petrodvorets, St. Petersburg, 198504, Russian Federation
[ 5 ] [Chen, Y.]Beijing University of Technology, 100 Pingleyuan, Chaoyang, Beijing, 100124, China

Reprint Author's Address：

[Aleksandrov, A.Yu.]Saint Petersburg State University, 35 Universitetskij Pr., Russian Federation

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Source ：

Nonlinear Dynamics and Systems Theory

ISSN： 1562-8353

Year： 2015

Issue： 2

Volume： 15

Page： 127-140

Cited Count：

WoS CC Cited Count：

SCOPUS Cited Count：

ESI Highly Cited Papers on the List： 0 Unfold All

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Chinese Cited Count：

30 Days PV： 10

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