Remarks on the state convergence of nonlinear systems given any Lp input

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Abstract

In this paper, we study the state convergence of Lp-stable systems and input-to-state stable (ISS) systems given any Lp input signal where p in [1, infinity). Under some conditions on the system equations, it is shown that if the system is dissipative with a proper storage function H and supply rate s(y, u) = |u|^p - k|y|^p, k > 0 and it is zero-state detectable then the state x of the system converges to zero for any LP input. This implies also that the system is also Lp-stable. Using the same technique, if the system is ISS, under some conditions on the system equations and on the smooth ISS Lyapunov function, then the state x of the system converges to zero for any Lp input
Original languageEnglish
Title of host publication45th IEEE Conference on Decision and Control
PublisherIEEE (The Institute of Electrical and Electronics Engineers)
Pages995-1000
Number of pages6
ISBN (Print)1424401712
DOIs
Publication statusPublished - 2006
EventIEEE Conference on Decision and Control -
Duration: 16-Dec-200918-Dec-2009

Conference

ConferenceIEEE Conference on Decision and Control
Period16/12/200918/12/2009

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