Exponentially Dissipative Control For Singular Impulsive Switches Systems With Time-delay

In practice, there are some physical phenomena which sudden change at certain timepoints because of impulsive or switchings effects. Impulsive switched systems provide anconvenient and effective way to simulate those physical phenomena. This paper mainlystudies the exponentially dissipative control and exponentially passive control problemson singular impulsive switched systems with time-delay. The main contents are as follows:(1) First of all, we introduce the developmental situation and signi?cance of thetheory of dissipative control and passive control; then we introduce general overview ofsingular impulsive switchings time-delay systems; at last, we point out the purpose andwork arrangement of the contend.(2) We research on the exponentially dissipative control and exponentially passivecontrol for linear singular impulsive switched systems with time-delay. Firstly, we give suf-?cient conditions of exponential dissipativity and exponential passivity for linear singularimpulsive switched systems with time-delay; then we design the state feedback controller;?nally, the feasibility of the theorem is veri?ed by the numerical example.(3) We study the exponentially dissipative control and exponentially passive con-trol for nonlinear singular impulsive switched systems with time-delay. Firstly, su?cientconditions of exponential dissipativity and exponential passivity for nonlinear singular im-pulsive switched systems with time-delay is obtained; then we design the state feedbackcontroller; ?nally, the feasibility of the theorem is veri?ed by the numerical example.(4)The paper is summarized.