带有时滞的区间动力系统的鲁棒稳定性研究  

STUDY ON ROBUST STABILITY OF INTERVAL SYSTEMS WITH TIME-DELAY

作　　者：严艳[1] 杨玉华[1] 魏晓燕[1] 卢占会[1] 

机构地区：[1]华北电力大学数理系,保定071003

出　　处：《动力学与控制学报》2008年第1期1-4,共4页Journal of Dynamics and Control

摘　　要：给出了区间动力系统稳定性的相关概念,讨论了带有时滞的区间动力系统的鲁棒稳定性.通过构造控制矩阵和迭代相结合的方法,给出了一类带有时滞的区间动力系统鲁棒稳定的判别方法,并且给出了系统鲁棒稳定时参数取值的最大区间.将含有时滞的区间动力系统的稳定性转化为判别一个矩阵的稳定性,推广和改进了已有的结论.The interrelated definition of interval dynamical system stability was given, and the robust stability of interval dynamical systems with time - delay was discussed by constructing suitable control matrix and iterative function. A method to judge the robust stability of a kind of interval dynamical systems with time - delay was obtained, the biggest parameter interval on the robust stability of systems with time - delay was obtained, and the interval dynamics system stability with time - delay was transformed into the stability of matrix. The results generalize the known literatures one.

关 键 词：区间动力系统 稳定性 时滞 迭代 

分 类 号：O231[理学—运筹学与控制论]