改进Lyapunov泛函下变时滞系统稳定性分析

摘要

We provide a new delay-range-dependent criterion for interval time-varying delay linear systems.By using Jensen inequality method and reciprocally convex combination technique,the upper bound of the derivative of our improved Lyapunov function can be estimated more tightly.And then newless conservative stability criteria are derived.Numerical examples are given to illustrate the effectiveness and the improvementof the proposed criterion.%针对具有区间变时滞的线性系统,提出一种新的稳定性判据.基于改进Lyapunov泛函,采用Jensen积分不等式和倒数凸组合技术,对Lyapunov泛函导数中的积分项进行界定,获得更紧的时滞上界,从而得到保守性更低的稳定性判据.通过数值实例验证所提出的稳定性判据有效.