Impulsive Controller Design For Some Nonlinear Systems

Due to the widespread existence of pulse phenomenon,control and analysis of impulsive system has been of continuous interest over the past decades.This paper deals with impulsive robust stabilization,impulsive control of differential inclusions,impulsive control of nonlinear system under Non-Lipschitz condition.The main research results are,1)Consider the time delay and stochastic conditions,the robust stabilization and robust control of stochastic integral-differential delay impulsive systems and stochastic integral-differential delay impulsive neutral systems are considered.Some new criteria are obtained to ensure the stability and the existence of the H_? control.2)Considering the stochastic conditions,the ISS impulse observer based on the Lur'e system,the(Q,S,R)strict dissipativity,impulsive observer to guarantee the error system ISS stability and strict dissipativity are studied.3)Considering the nonlinear system under Non-Lipschitz condition,a sufficient conditions is gotten for the stability of nonlinear time-delay systems under Non-Lipschitz condition.The above theoretical results are verified by some examples.