STRICT LYAPUNOV FUNCTIONS FOR IMPULSIVE HYBRID TIME-VARYING SYSTEMS WITH DISCONTINUOUS RIGHT-HAND SIDE

STRICT LYAPUNOV FUNCTIONS FOR IMPULSIVE HYBRID TIME-VARYING SYSTEMS WITH DISCONTINUOUS RIGHT-HAND SIDE

In this paper, explicit closed form expressions of nonsmooth strict Lyapunov tunctlons for impulsive hybrid time-varying systems with discontinuous right-hand side is provided. Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persist...

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Veröffentlicht in:Journal of systems science and complexity 2011-04, Vol.24 (2), p.261-270
Hauptverfasser: Mu, Xiaowu, Tang, Fengjun
Format: Artikel
Sprache:eng
Schlagworte:
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
封闭形式
时间变化
李亚普诺夫函数
混合时间
激励参数
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Zusammenfassung:In this paper, explicit closed form expressions of nonsmooth strict Lyapunov tunctlons for impulsive hybrid time-varying systems with discontinuous right-hand side is provided. Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persistency of excitation parameters.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-011-7237-y