摘要
研究了一类具有多时变时滞的连续系统的有限时间稳定性.利用线性系统的一些特性,我们以矩阵不等式的形式给出了系统有限时间稳定的准则,它保证了系统的轨线在预先给定的时间段内不会超过预先给定的范围,实例表明了准则的有效性.
The problem of finite-time stability for a continuous-time system with time-varying delays is considered in this paper.Based on some techniques developed for linear positive systems,we derived conditions,in terms of matrix inequalities,guaranteeing that the state trajectories of the system do not surpass a certain value over a given finite time interval.Numerical example is provided to show the effectiveness and feasibility of the theoretical result.
出处
《新疆大学学报（自然科学版）》
CAS
北大核心
2016年第2期161-164,共4页
Journal of Xinjiang University(Natural Science Edition)
基金
Supported by the National College Students'Innovation and Entrepreneurial Training Program(201410758032)
the Xinjiang Agriculture University Foundation(XJAU201120,jqztp72013015)
the National Natural Science Foundation of P.R.China(11271312)
关键词
有限时间稳定
连续时间系统
时变多时滞
M矩阵
finite-time stability
continuous-time system
time-varying delays
metzler matrix
