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		Phat VU N. Satiracoo PAIROTE.[en_title][J].Control Theory and Technology,2006,4(1):26~31.[Copy]

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Received:September 30, 2005Revised:December 13, 2005

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Global stabilization of linear periodically time-varying switched systems via matrix inequalities

Phat VU N. Satiracoo PAIROTE

(Institute of Mathematics 18 Hoang Quoc Viet Road, Hanoi 10307, Vietnam; Department of Mathematics Mahidol University, Bangkok 10400, Thailand)

Abstract:

In this paper, we address the stabilization problem for linear periodically time-varying switched systems. Using discretization technique, we derive new conditions for the global stabilizability in terms of the solution of matrix inequalities. An algorithm for finding stabilizing controller and switching strategy is presented.

Key words: Stabilization Periodic system Lyapunov functional Switched system Matrix inequality