ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS

Abstract

Abstract:

By using the quasi-Lyapunov function, some sufficient conditions of global
exponential stability for impulsive systems are established, which is the basis for the fol-
lowing discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequal-
ity approach, some sufficient conditions of robust exponential stability for uncertain lin-
ear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given
to illustrate the applications of the theory.

Key words: Uncertain impulsive system;interval matrix;Riccati/Hamilton-Jacobi in-
equality, global exponential stability, robust global exponential stability

CLC Number:

34A37

LIU Bin, LIU Xin-Zhi, LIAO Xiao-Cuan. ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS[J].Acta mathematica scientia,Series B, 2005, 25(1): 161-169.

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