新的时变时滞Lurie系统的稳定性判据

New Stability Criteria for Lurie Systems with Time-Varying Delays

针对时变时滞Lurie系统的稳定性问题,本文在推导技术上利用积分不等式及交互式凸组合方法,通过构造新的增广Lyapunov-Krasovskii泛函,得到新的基于线性矩阵不等式的时滞相关稳定性准则。数值实例表明,本文方法与文献[12-13]及文献[15-16]相比较,能够获得使系统稳定所容许的更大时滞上界值,说明本文方法具有更低的保守性。

This paper is concerned with the problem of delay-dependent absolutely stability for a class of Lurie systems with time-varying delays. By constructing a new type of augmented Lyapunov-Krasovskii functional combined with the integral inequality and the reciprocally convex approach, a new delay-depend- ent stability criterion is proposed in terms of linear matrix inequalities. Compared with [-12 - 13-land[-15 - 16-] ,numerical examples are given to illustrate that our method could lead to better results to compute the upper bounds of time-varying delay intervals for keeping the system stable.