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

Content Provider	IEEE Xplore Digital Library
Author	Jayawardhana, B.
Copyright Year	2006
Description	Author affiliation: Dept. of Electr. & Electron. Eng., Imperial Coll. London (Jayawardhana, B.)
Abstract	In this paper, we study the state convergence of $L^{p}-stable$ systems and input-to-state stable (ISS) systems given any $L^{p}$ input signal where p isin [1, infin). 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) = $parupar^{p}$ - $kparypar^{P},$ k > 0 and it is zero-state detectable then the state x of the system converges to zero for any $L^{P}$ input. This implies also that the system is also L $^{p}-stable.$ 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 $L^{p}$ input
Starting Page	995
Ending Page	1000
File Size	170362
Page Count	6
File Format	PDF
ISBN	1424401712
DOI	10.1109/CDC.2006.377361
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-13
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Convergence Nonlinear systems Nonlinear control systems Control systems USA Councils Nonlinear equations Lyapunov method Asymptotic stability Power engineering and energy Linear systems
Content Type	Text
Resource Type	Article

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