Stability and L2-gain analysis for switched delay systems: A delay-dependent method

  • Authors:

  • Xi-Ming Sun;Jun Zhao;David J. Hill

  • Affiliations:

  • School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2006

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Abstract

In this paper, we study stability and L"2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L"2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L"2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.