Input-to-state Stability And Control Of Hybrid Systems With Complex Environments

With the development of science and the improvement of technology,the control systems are also becoming more complex,one of the important complex control systems are hybrid systems.Recently,the stability and controllability of hybrid systems have been studied extensively.However,the theory of input-to-state stability bas been proposed by Sontag et al.in 1989,the investigation on input-to-state stability of hybrid systems becomes one of the hot topics.This paper mainly deals with the input-to-state stability of hybrid systems under complex environments.It mainly includes:In Chapter 1,the background of this article and some former results are introduced.In Chapter 2,by using Lyapunov method and the analysis technique proposed by Hespanha,Liberzon and Teel,the input-to-state stability and integral input-to-state stability of nonlinear systems with delayed impulses are studied.Some sufficient conditions ensuring the input-to-state stability and integral input-to-state stability of the addressed systems are establishd,and an example is given to illustrate the efficiency of the obtained results.In Chapter 3,based on Lyapunov method,we derive some sufficient conditions for input-to-state stability/integral input-to-state stability,which depend on the distributed delays existing in impulses.Finally,the effectiveness and superiority of the proposed results are evidenced by two illustrative examples.In Chapter 4,the input-to-state stability of impulsive and switching hybrid systems with time-delay are investigated.Based on Lyapunov-Krasovskii functional method,some sufficient conditions ensuring input-to-state stability of the impulsive and switching hybrid systems with time-delay are obtained,and an example is provided to illustrate the efficiency of the obtained results.