Technical communique: New stability criteria for linear systems with interval time-varying delay

  • Authors:

  • Xiefu Jiang;Qing-Long Han

  • Affiliations:

  • School of Automation, Hangzhou Dianzi University, Hangzhou 310018, Zhejiang, PR China and Centre for Intelligent and Networked Systems, Central Queensland University, Rockhampton QLD 4702, Austral ...;Centre for Intelligent and Networked Systems, Central Queensland University, Rockhampton QLD 4702, Australia and School of Computing Sciences, Central Queensland University, Rockhampton QLD 4702, ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

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Abstract

This paper investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.