带有非线性扰动时变时滞系统新的稳定性判据

New Stability Criteria for Time-Delay Systems with Nonlinear Perturbations

针对一类带有非线性扰动的时变时滞系统的稳定性问题,本文通过构造适合的Lyapunov-Krasovskii泛函,运用交互式凸组合、时滞分解和积分不等式等方法,得到新的基于线性矩阵不等式的时滞相关稳定性新准则,并通过数值实例进行实验验证,实验结果表明,本文结果与文献[11-12]相比有较大改进,所用方法降低了结果的保守性,说明本文结果具有优越性和有效性。

The problem of delay-dependent stability for time-delay systems with nonlinear perturbations is studied.A new delay-dependent stability criterion is proposed by using the reciprocally convex approach and delay decomposition.A numerical example is given to illustrate that our method could produee better results than those in[11-12],and thus shows the effectiveness and advantages compared with some recent methods.The method can be applied to other related problems such as the robust control for time-delay systems with perturbations.