摘要
研究具有时变时滞和扇区有界非线性的中立型系统的绝对稳定性问题.根据时变时滞分段分析思想,构造一个新的Lyapunov-Krasovskii泛函,得到了一些保守性更小的基于线性矩阵不等式的时滞相关绝对稳定性判据.采用凸组合方法,可以避免忽略Lyapunov-Krasovskii泛函微分中的有用项.数值算例表明了所提出方法的有效性.
This paper investigates the problem of the absolute stability of neutral systems with a time-varying delay and sector-bounded nonlinearity.By constructing a novel Lyapunov-Krasovskii functional based on the piecewise analysis method for the time-varying delay systems,less conservative delay-dependent stability criteria are obtained and formulated in terms of linear matrix inequalities without ignoring any useful terms in the derivative of a Lyapunov-Krasovskii functional by using the convex combination method.Numerical example shows the effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2011年第7期1026-1030,1035,共6页
Control and Decision
基金
国家自然科学基金重点项目(60634020)
关键词
绝对稳定性
中立型系统
时变时滞
时滞相关
线性矩阵不等式
absolute stability
neutral system
time-varying delay
delay-dependent
linear matrix inequality
