一类具有时变脉冲的不确定系统的鲁棒稳定性分析

Robust Stability Analysis of Uncertain Systems with Time-Varying ImpulsesAbstract In practical systems,the time-varying phenomenon of the system is widespread.Time-varying means that state variables will change with time,which is often used in the field of signaland system.Therefore,the dynamic characteristics of time-varying system are very complex,and thedifficulty of its research is greatly increased.With the exception of the time-varying appearance,there is also a kind of dynamic system whose motion state will experience instantaneous mutation atsome time.Pulse system can reflect the transformation law of things more accurately,so it can beapplied in many fields such as ecology,medicine,communication,aerospace,etc.On the otherhand,because of the influence of external disturbance and imprecise modeling,the parameters inthe system can not be obtained accurately.Therefore,the system of uncertain pulses can be usedto describe the motion state of the impulsive phenomena with uncertain disturbances.This paper deals with the problems related to robust stability analysis of uncertain systems withtime-varying impulses.Its purpose is to solve the problem of network stability in real life.By usingLyapunov function and Riccati inequality,the condition of system stability can be found.Based onthis condition,a numerical example is given,MATLAB and LMI are used to show the problem,andthe validity and utility of the theoretical results are illustrated.Key words Time-varying pulse Lyapunov function LMI Impulses Controlle Robust Stability