Stability analysis of discrete-time systems with additive time-varying delays

  • Authors:
  • Xian-Ming Tang;Jin-Shou Yu

  • Affiliations:
  • Research Institute of Automation, East China University of Science and Technology, Shanghai, PRC 200237;Research Institute of Automation, East China University of Science and Technology, Shanghai, PRC 200237

  • Venue:
  • International Journal of Automation and Computing
  • Year:
  • 2010

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Abstract

In this paper, the problem of stability analysis of discrete-time delay systems with two additive time-varying delays is considered. A new stability result is derived for a general class of delay systems which has practical application background in networked control systems. The stability criterion is expressed in the form of linear matrix inequalities (LMIs), which can be readily solved by using standard numerical software. An illustrative example is provided to show the advantage of the proposed stability condition.