一类时变时滞系统的稳定性判据  

On stability criteria of a class of systems with time-varying delays

作　　者：王华强[1] 石荣荣[1] 杨滁光[2] 董学平[1] 姚亮[1] 

机构地区：[1]合肥工业大学电气与自动化工程学院,安徽合肥230009 [2]安徽安利合成革股份有限公司,安徽合肥231202

出　　处：《合肥工业大学学报（自然科学版）》2011年第8期1146-1149,1221,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60974022)

摘　　要：文章研究了一类时变时滞系统的稳定性,根据时变时滞的上下界,将时滞区间划分为多个部分,并设计相应李亚普诺夫函数,得到了新的稳定性判据,该判据与时滞的上下界相关;并推导了带非线性扰动的时变时滞系统稳定性,得出线性矩阵不等式的形式,并使用数字仿真验证了结论的有效性。This paper deals with the stability of a class of systems with time-varying delays.Based on the upper bound and lower bound of time-varying delays,the delay interval is divided into several parts.The corresponding Lyapunov functions are designed and then a new stability criteria is derived,which is lower-bound-dependent and upper-bound-dependent.The stability of this class of systems with nonlinear perturbations is investigated,and the linear matrix inequalities are obtained.A numerical example is given to show the effectiveness of the results.

关 键 词：时变时滞 李亚普诺夫函数 稳定性 非线性扰动 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]