Delay-dependent stabilization for time-delay systems;An LMI approach

  • Cho, H.J. (Department of Electrical Engineering, Yeungnam University) ;
  • Park, Ju-H. (Department of Electrical Engineering, Yeungnam University) ;
  • Lee, S.G. (Department of Electrical Engineering, Yeungnam University)
  • Published : 2004.08.25

Abstract

This paper focuses on the problem of asymptotic stabilization for time-delay systems. To this end, a memoryless state feedback controller is proposed. Then, based on the Lyapunov method, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Certain free weighting matrices are used to express this relationship and linear matrix inequalities (LMIs)-based algorithm to design the controller stabilizing the system.

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