Towards a converse Lyapunov stability theory of hybrid impulsive and switching systems
R Gao - 2014 IEEE International Conference on Automation …, 2014 - ieeexplore.ieee.org
R Gao
2014 IEEE International Conference on Automation Science and …, 2014•ieeexplore.ieee.orgThe converse Lyapunov stability problem is proposed for a special class of hybrid systems,
hybrid impulsive and switching systems (HISS). The necessary condition is constructed,
under which the HISS is proved to be uniformly asymptotically stable with respect to its
equilibrium in the state space. The construction method for Lyapunov functions presented in
this paper is different from the other literature. It helps to solve the Lyapunov function
construction problem in the process of stability analysis in hybrid dynamical systems (HDS).
hybrid impulsive and switching systems (HISS). The necessary condition is constructed,
under which the HISS is proved to be uniformly asymptotically stable with respect to its
equilibrium in the state space. The construction method for Lyapunov functions presented in
this paper is different from the other literature. It helps to solve the Lyapunov function
construction problem in the process of stability analysis in hybrid dynamical systems (HDS).
The converse Lyapunov stability problem is proposed for a special class of hybrid systems, hybrid impulsive and switching systems (HISS). The necessary condition is constructed,under which the HISS is proved to be uniformly asymptotically stable with respect to its equilibrium in the state space. The construction method for Lyapunov functions presented in this paper is different from the other literature. It helps to solve the Lyapunov function construction problem in the process of stability analysis in hybrid dynamical systems (HDS).
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