摘要
主要研究了一类具分布时变时滞不确定系统的输出反馈鲁棒稳定问题.基于动态输出反馈和Lyapunov-Krasovskii泛函,给出了闭环系统与时滞相关的鲁棒稳定的条件.所得条件为线性矩阵不等式形式,便于运用内点算法进行求解.
This article mainly investigates the output feedback robust stability problem for uncertain systems with distributed and time-varying delays. Based on output dynamical feedback and the Lyapunov-Krasovskii functional, we obtain the delay-dependent robust stability conditions of the close-loop systems. These conditions are in the form of linear matrix inequalities, which can be solved by interior-point algorihms.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第12期222-227,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(11071001)
教育部博士学科点专项科研基金(20093401110001)
安徽省高校自然科学研究重大项目(KJ2010ZD02)
关键词
分布时滞
时变时滞
不确定系统
输出反馈
鲁棒稳定
distributed delays
time-varying delays
uncertain systems
output feedback
robust stabilization
