Stability and robustness of quasi-linear impulsive hybrid systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:283

Article

Liu, B ; Liu, XZ ; Liao, XX

关键词: hybrid dynamical system;    impulsive dynamical system;    impulsive hybrid system;    stability;    robust stability;   

DOI  :  10.1016/S0022-247X(03)00253-1

来源: Elsevier

【 摘 要 】

Both hybrid dynamical systems and impulsive dynamical systems are studied extensively in the literature. However, impulsive hybrid systems are not yet well studied. Nonetheless, many physical systems exhibit both system switching and impulsive jump phenomena. This paper investigates stability and robust stability of a class of quasi-linear impulsive hybrid systems by using the methods of Lyapunov functions and Riccati inequalities. Sufficient conditions for stability and robust stability of those systems are established. Some examples are given to illustrate the applicability of our results. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

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