线性时滞系统稳定的充分必要条件  

A Sufficient and Necessary Stability Condition for Linear Systems with Delay

作　　者：张志飞[1] 张小纲[2] 章兢[3] 

机构地区：[1]佛山大学机电与信息学院,广东佛山528000 [2]湖南大学信息与电气工程学院,湖南长沙410082 [3]湘潭大学电气与信息学院,湖南湘潭411105

出　　处：《计算技术与自动化》2015年第4期7-10,共4页Computing Technology and Automation

基　　金：国家自然科学基金资助项目(51277030)

摘　　要：提出一个新的线性时滞系统稳定的充分必要条件,与以前的结论不同的是,我们的结论的表达形式更容易数值计算。开发相应的二种收敛算法,解决系统时滞独立稳定判断和时滞相关稳定的时滞界估计。本文给出范数有界不确定性时,系统稳定的充分条件。文末给出的数值实例证明本文结果降低计算复杂度,改进了时滞估计保守性。This note provided a new sufficient and necessary stability condition for time-delay systems. Unlike previous methods, the mathematical descriptions here are easy to numeric computation. Two algorithms were developed and used to solve the problems of both time-independent and time-dependent stability. When time-varying norm-bounded uncertainties appear in a delay system, a robust delay-dependent stability condition was given. Examples were provided to demonstrate the reduced complexity and conservatism of the proposed conditions.

关 键 词：时滞线性系统 充分必要条件 算法 不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]