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

作　　者：张雷[1] 燕晓峰[1] 田玉全 林崇[1] 

机构地区：[1]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2014年第1期12-16,共5页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：国家自然科学基金资助项目(61174033);山东省自然科学基金资助项目(ZR2011FM006)

摘　　要：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.

关 键 词：稳定性 时变时滞 非线性扰动 交互式凸组合 时滞分解 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] N941.1[自动化与计算机技术—控制科学与工程]