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		Jun ZHAO,David J. HILL.[en_title][J].Control Theory and Technology,2006,4(1):70~75.[Copy]

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JunZHAO,DavidJ.HILL
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Received:September 30, 2005Revised:December 25, 2005

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A notion of passivity for switched systems with state-dependent switching

Jun ZHAO , David J. HILL

(School of Information Science and Engineering, Northeastern University, Liaoning Shenyang 110004, China; Research School of Information Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia)

Abstract:

A passivity concept for switched systems with state-dependent switching is presented. Each subsystem has a storage function to describe the “energy” stored in the subsystem. The passivity property of a switched system is given in terms of multiple storage functions. Each storage function is allowed to grow on the “switched on” time sequence but the total growth is bounded by a certain function. Stability is inferred from passivity and asymptotic stability is achieved under further assumptions of a detectivity property of a local form and boundedness of the total change of some storage function on its inactive intervals. A state-dependent switching law that renders the system passive is also designed.

Key words: Switched systems Passivity Stability