具有区间变时滞的不确定系统的鲁棒稳定新判据

A New Robust Stability Criterion for Uncertain System with Interval Time-varying Delay

为了降低具有区间变时滞和不确定的时滞系统的鲁棒稳定性判据的保守性,采用Lyapunov-Krasovskii泛函方法并结合倒数凸和线性矩阵不等式技术进行分析,结果表明:改进后的鲁棒稳定性判据具有更小保守性,且数值算例证明了新方法的有效性和先进性。

This paper discusses the problem of robust stability analysis of the system with interval time-varying delay and uncertainties. By using Lyapunov- Krasovskii functional method and combining with the reciprocally convex technique, an improvement delay-range-dependent criterion is derived in term of the linear matrix inequalities （LMIs）. A numerical example is included to illustrate the effectiveness and the less conservativeness of the proposed method.