Stabilization of switched linear systems with multiple time-delays

  • Authors:

  • Zhang Hui;Liu Yu-Zhong;Liu Lei

  • Affiliations:

  • School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang, Liaoning;School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang, Liaoning;School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang, Liaoning

  • Venue:
  • CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
  • Year:
  • 2009

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Abstract

This paper considers the problem of stabilization of switched linear systems with multiple time-delays. If the convex combination ΣαjÃj is Hurwitz and the upper bound of delays has a limitation, the system is stabilized under a switching rule and the switching rule has been designed. The single-Lyapunov function is used to analyze the stabilization of the system with a sufficiently small upper bound of delays via a switching rule.