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.
严艳,杨玉华,魏晓燕,卢占会.带有时滞的区间动力系统的鲁棒稳定性研究[J].动力学与控制学报,2008,6(1):1~4; Yan Yan, Yang Yuhua, Wei Xiaoyan, Lu Zhanhui. Study on robust stability of interval systems with time-delay[J]. Journal of Dynamics and Control,2008,6(1):1-4.
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