基于时滞的连续广义系统鲁棒稳定性研究  

On robust stability of continuous generalized systems with time-delays

作　　者：林洪生[1] 李颖[1] 

机构地区：[1]沈阳工程学院基础教学部,沈阳110036

出　　处：《沈阳工程学院学报（自然科学版）》2011年第3期285-288,共4页Journal of Shenyang Institute of Engineering:Natural Science

摘　　要：分析了时滞连续广义系统的鲁棒稳定性,研究了时滞连续广义系统保持稳定的条件,同时给出了其对应的扰动系统.针对扰动系统,给出了保持稳定性的最大范围,即时滞连续广义系统的稳定半径.给出了时滞连续广义系统稳定半径的定义以及计算,并且给出了系统指数不超过1时的具体算法.最后以具体的算例检验了结论的正确性.In this paper,robust stability of continuous generalized systems with delays is analyzed and the conditions of preserving stability are researched.At the same time,the perturbation systems are given out.For perturbation systems,the maximum range preserving stability called stability radius is given.The stability radius definition and computation of continuous generalized systems with delays is given.And a computation method will be given for regular systems with index less than or equal to one.At last,an example for inspecting the conclusion certifies the correct conclusion.

关 键 词：稳定半径 时滞 广义系统 矩阵束 鲁棒稳定性 正则 

分 类 号：O231.9[理学—运筹学与控制论]