一类带有混合时变时滞的非线性切换系统的镇定

摘要

研究了一类带有混合时变时滞的非线性切换系统的指数镇定问题。通过构造新的Lyapunov-Krasovskii泛函，并利用平均驻留时间的方法，建立了带有混合时变时滞的非线性切换系统指数镇定的充分条件，同时通过矩阵的一些特殊变形方法，最终设计出该系统的控制器。并给出了一个数值例，用以说明所获结果的有效性。%The problem of exponential stabilization for a class of switched nonlinear systems with mixed time-varying delay is investigated. By constructing a novel Lyapunov-Krasovskii functional, based on the average dwell time approach, sufficient conditions for exponential stabilization are established for a class of switched nonlinear systems with mixed time-varying delay. At the same time, through some special deformation of the matrix, the controllers are designed. Finally, a numerical example illustrates the effectiveness of the theoretical results.