具有时滞和的非线性系统的鲁棒稳定性分析  

Robust stability analysis of nonlinear systems with two additive time-varying delay components

作　　者：张瑞[1] 焦建民[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《电子设计工程》2013年第22期4-7,共4页Electronic Design Engineering

基　　金：陕西省教育厅科学研究计划项目(2013JK0601);宝鸡文理学院重点科研项目(ZK11133)

摘　　要：针对具有时滞和及模有界参数不确定性的非线性系统,研究了鲁棒稳定性问题。通过构造新的Lyapunov泛函,其中考虑了时变时滞和时滞上界信息,并应用新的方法估计Lyapunov泛函导数的上界,以线性矩阵不等式形式给出了系统的时滞相关型稳定性判据。数值实例表明了结果的有效性和较小保守性。This paper considers the problem of robust stability of nonlinear systems with two additive time-varying delay components and norm-bounded parameter uncertainties. Based on a new Lyapunov functional, which takes the relationship between the time-varying delay and its upper bound into account and using a new approach to estimating the upper bound on the time derivative of the Lyapunov functional, a delay-dependent stability criterion of the system is established in terms of linear matrix inequalities （LMIs）. Numerical examples are given to illustrate that the obtained results are effective and have less conservatism.

关 键 词：非线性系统 鲁棒稳定性 时滞和 不确定性 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]