Exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study.At each switching time instant,the impulsive incr...Exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study.At each switching time instant,the impulsive increments which are nonlinear functions of the states are extended from switched linear systems to switched nonlinear systems.Using the average dwell time method and piecewise Lyapunov function approach,when the total active time of unstable subsystems compared to the total active time of stable subsystems is less than a certain proportion,the exponential stability of the switched system is guaranteed.The switching law is designed which includes the average dwell time of the switched system.Switched systems with uncertainties are also studied.Sufficient conditions of the exponential stability and robust exponential stability are provided for switched nonlinear systems.Finally,simulations show the effectiveness of the result.展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.61074004 and 61374037)
文摘Exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study.At each switching time instant,the impulsive increments which are nonlinear functions of the states are extended from switched linear systems to switched nonlinear systems.Using the average dwell time method and piecewise Lyapunov function approach,when the total active time of unstable subsystems compared to the total active time of stable subsystems is less than a certain proportion,the exponential stability of the switched system is guaranteed.The switching law is designed which includes the average dwell time of the switched system.Switched systems with uncertainties are also studied.Sufficient conditions of the exponential stability and robust exponential stability are provided for switched nonlinear systems.Finally,simulations show the effectiveness of the result.
