不确定的时滞线性系统的稳定性分析
Analysis of Stability of Uncertain Linear Systems with Delay
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摘要: 研究了一类不确定的时滞线性大系统的稳定性问题。基于代数黎卡堤方程的处理方法及李雅普洛夫稳定性准则,对于给定的参数变化域,给出了具有结构不确定的时滞线性系统渐近稳定的充分判据。利用不等式的分析技巧,给出了完全用子系统描述的、确保大系统指数稳定的不确定参数的稳定界。Abstract: This paper discusses the stability of a class of uncertain linear systems with delay.To certain domain of varying parameters, the algebraic Riccati equation approach and Lyapunov stability criterion are developed to obtain the results of the asymptotic stability.By making use of the method of inequality analysis, the stable bounds of uncertain parameters in each subsystem are given.