Stability and robustness of quasi-linear impulsive hybrid systems |
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Authors: | Bin Liu Xiaoxin Liao |
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Institution: | a Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China b Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada |
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Abstract: | 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. |
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Keywords: | Hybrid dynamical system Impulsive dynamical system Impulsive hybrid system Stability Robust stability |
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