Stability analysis and estimation of the convergence rate of solutions for nonlinear time-delay systems - Details

Author：

Aleksandrov, A.Y. (Aleksandrov, A.Y..) | Aleksandrova, E.B. (Aleksandrova, E.B..) | Zhabko, A.P. (Zhabko, A.P..) | Dai, G. (Dai, G..)

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Abstract：

Certain　classes　of　systems　with　nonlinearities　of　a　sector　type　and　time-varying　delay　are　studied.　By　the　use　of　the　Lyapunov　functions　method　and　the　Razumikhin　approach,　conditions　are　obtained　under　which　the　zero　solution　of　considered　systems　is　asymptotically　stable　for　an　arbitrary　continuous　nonnegative　and　bounded　delay.　Moreover,　estimates　of　the　convergence　rate　of　solutions　are　derived.　©　2015　IEEE.

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[ 1 ] [Aleksandrov, A.Y.]Faculty of Applied Mathematics and Processes of Control, Saint Petersburg State University, Saint-Petersburg, 198504, Russian Federation
[ 2 ] [Aleksandrova, E.B.]Faculty of Applied Mathematics and Processes of Control, Saint Petersburg State University, Saint-Petersburg, 198504, Russian Federation
[ 3 ] [Zhabko, A.P.]Faculty of Applied Mathematics and Processes of Control, Saint Petersburg State University, Saint-Petersburg, 198504, Russian Federation
[ 4 ] [Dai, G.]College of Metropolitan Transportation, Beijing University of Technology, Beijing, 100124, China

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International Congress on Ultra Modern Telecommunications and Control Systems and Workshops

ISSN： 2157-0221

Year： 2016

Volume： 2016-January

Page： 67-72

Language： English

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SCOPUS Cited Count： 3

ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 4

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