基于规划理论的时滞连续广义系统稳定性分析  

Stability Analysis of Time-Delay Continuous Generalized System Based on Programming Theory

作　　者：刘严[1] 林洪生[1] 李颖[1] 

机构地区：[1]沈阳工程学院基础部,辽宁沈阳110136

出　　处：《沈阳工程学院学报（自然科学版）》2015年第3期278-281,285,共5页Journal of Shenyang Institute of Engineering:Natural Science

基　　金：沈阳工程学院科技基金一般项目(LGYB-1401)

摘　　要：通过对时滞连续广义系统鲁棒稳定性的分析,研究了时滞连续广义系统保持稳定的条件,给出了其对应的扰动系统,并针对该扰动系统确定了保持其稳定性的最大范围,即时滞连续广义系统的稳定半径。在给出了时滞连续广义系统稳定半径的定义以及计算方法之后,将系统指数不超过1的连续时滞广义系统稳定半径问题转化为可以求解的非线性规划问题,最后给出具体的算例来检验结论的正确性。Based on the analysis of the robust stability of continuous generalized systems with delays and its preserving stability conditions,the corresponding perturbation system was given. At the same time,the maximum range preserving stability of the perturbation system,which is stability radius,was given too. In this paper,the definition and computing formula of stability radius of continuous generalized systems with delays was presented and the stability radius of continuous generalized systems with delays of index no more than one could be transformed into a nonlinear programming problem was proposed. At last,a concrete example was given to confirm the conclusion.

关 键 词：稳定半径 广义系统 矩阵束 非线性规划 正则 时滞 

分 类 号：O212[理学—概率论与数理统计]