一类带有区间时变时滞的非线性中立切换系统的指数镇定

Exponential Stabilization for a Class of Nonlinear Neutral Switched Systems with Interval Time-Varying Delay

研究带有时变时滞中立非线性切换系统的指数镇定问题。通过时滞以及时滞的界,构造Lyapunov-Krasovskii函数,运用平均驻留时间方法,给出了中立非线性切换系统指数镇定的充分条件,该条件以线性矩阵不等式的形式出现。最后运用Schur补引理,设计出控制器以保证闭环系统的镇定,并用数值进行了验证。

The problem of exponential stabilization for a class of switched nonlinear neutral systems with time-varying delay is investigated.Lyapunov-Krasovskii function is constructed by the boundary of time delay and time delay,and the sufficient conditions for the exponential stabilization of neutral nonlinear switched systems are given based on the average dwell time approach,which takes the form of linear matrix inequalities.Finally,Schur complement theory is used to design the controller to ensure the stability of the closed-loop system,which is verified by numerical.