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线性时滞不确定系统的稳定性分析
The Analysis of Stability for Linear Delay Uncertain Systems
【摘要】 讨论了带有拓扑型结构不确定性的线性时滞系统,利用Lyapunov 函数和矩阵的高斯分解,给出使其渐近稳定的充分条件,并且通过实例说明了所给条件的保守性比用“秩1 分解”方法处理时小
【Abstract】 In this paper,the linear delay system with topological type structured uncertainty is discussed.Applying Lyapunov function and Gaussian decomposition of matrix,we present the sufficient condition for asymptotic stability of the system.By an example,we show that the conservatism of our conditions is less than that given by “rank 1”decomposition method.
【关键词】 线性时滞系统;
拓扑型结构不确定性;
高斯分解;
鲁棒稳定性;
【Key words】 linear delay systems; topology type structured uncertainty; Gaussian decomposition; robust stability;
【Key words】 linear delay systems; topology type structured uncertainty; Gaussian decomposition; robust stability;
【基金】 国家自然科学基金!(NO.19782002)
- 【文献出处】 控制理论与应用 ,CONTROL THEORY & APPLICATIONS , 编辑部邮箱 ,1999年05期
- 【分类号】TP271.6
- 【被引频次】14
- 【下载频次】140