基于自由权值矩阵方法的时滞离散系统稳定性分析

Stability Analysis of Time-delay Discrete System Based on Weighting-free Matrix

对带有时变状态时滞的离散系统的稳定性分析提出了一种新的方法。采用一种新型Lyapunov函数,得到了系统时滞相关的稳定性标准。这种方法考虑了估计Lyapunov函数差分上界时而忽略的项,自由权值矩阵的引入而减少了结果的保守性。最后给出例子证明了结果的有效性。

A new method is proposed for the stability analysis of a discrete system with time-varying state delay. A new Lyapunov function is introduced to establish the delay-dependent stability criteria. Less conservative results have been obtained by considering the additional useful terms when estimating the upper bound of the difference of Lyapunov function and introducing free-weighting matrices. Finally, examples are given to prove the approach effective.