区间时变时滞线性系统稳定性准则的改进

Improved Stability Criteria for Linear Systems with Interval Time-varying Delay

研究了区间时变时滞线性系统的稳定性问题,基于Lyapunov泛函方法,使用新的处理技术估计Lyapunov泛函导数的上界,以线性矩阵不等式形式给出了系统稳定性准则的改进结果。所给稳定性准则比已有结果具有更低的保守性,数值实例表明了结果的有效性。

This paper is concerned the stability analysis of linear systems with varying delays in an interval.Based on the Lyapunov functional method,and by resorting to the new technique for estimating the upper bound of the derivative of the Lyapunov functional,a new stability criteria is derived in terms of linear matrix inequalities.It is shown that the newly proposed criteria can provide less conservative results than some existing ones.Numerical examples are given to illustrate the effectiveness of the proposed approach.