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

作　　者：李伯忍[1,2] 胥布工[1] 史旭光[1] 

机构地区：[1]华南理工大学自动化科学与工程学院,广州510640 [2]东莞理工学院计算机学院,东莞523808

出　　处：《工程数学学报》2009年第6期1119-1125,共7页Chinese Journal of Engineering Mathematics

基　　金：NSFC-Guangdong Joint Foundation Key Project (U0735003);Guangdong Province Natural Science Foundation of China Project (06105413)

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。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) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]