节点文献
不确定多时变线性系统的时滞依赖稳定性(英文)
Delay-dependent Stability Criteria of the Uncertain Linear System with Multiple Time-varying States
【摘要】 利用积分等式,本文研究了含范数有界不确定型的多时变线性系统的时滞依赖稳定性。所用积分等式通过自由权矩阵够造得到,比现有积分不等式更优,而自由项的选取依赖于Lyapunov-Krasovskii泛函。相比之前的一些结果,文中得到的稳定性保守性更低且更一般化。
【Abstract】 This paper deals with the problem of delay-dependent stability criteria for the uncertain linear system with multiple time-varying delays by virtue of the integral-equality.The integral equality is an improved version of the usual integral inequality and is constructed with free weighting matrices.The free terms are chosen according to the derivative of the Lyapunov-Krasovskii functional.The new improved criteria are much less conservative and more general than some existing results.
【关键词】 Lyapunov-Krasovskii泛函;
稳定性;
时滞;
积分等式;
线性矩阵不等式(LMI);
【Key words】 Lyapunov-Krasovskii functional; stability; delay; integral-equality; linear matrix inequality(LMI);
【Key words】 Lyapunov-Krasovskii functional; stability; delay; integral-equality; linear matrix inequality(LMI);
【基金】 NSFC-Guangdong Joint Foundation Key Project (U0735003);Guangdong Province Natural Science Foundation of China Project (06105413)
- 【文献出处】 工程数学学报 ,Chinese Journal of Engineering Mathematics , 编辑部邮箱 ,2009年06期
- 【分类号】TP13
- 【被引频次】6
- 【下载频次】100