天津工业大学学报2013，Vol.32Issue(4)：85-88,4.
带有时变时滞的非线性系统的指数稳定
Exponential stability of nonlinear systems with time-varying delays
摘要
Abstract
The problem of exponential stability of a class of nonlinear systems with time-varying delays is investigated.By constructing the appropriate Lyapunov-Krasovskii functional and combined with Newton-Leibniz formula and free weighting matrix method,a new delay-dependent exponential stability sufficient condition for the class of systems is established in terms of linear matrix inequality (LMI).Then,the exponential stability criterion for a class of nonlinear systems with constant delay is presented.Finally,a numerical example is provided to illustrate the effectiveness of the results obtained.关键词
非线性系统/指数稳定/时变时滞/Lyapunov-Krasovskii泛函/线性矩阵不等式(LMI)Key words
nonlinear system/ exponential stability/ time-varying delay/ Lyapunov-Krasovskii functional/ linear matrix inequality (LMI)分类
数理科学引用本文复制引用
杨凤伟,董亚丽..带有时变时滞的非线性系统的指数稳定[J].天津工业大学学报,2013,32(4):85-88,4.基金项目
天津市自然科学基金资助项目(11JCYBJC06800) （11JCYBJC06800）
