区间变时滞广义系统的稳定性分析(英文)  

Stability Analysis of Singular Systems with Interval Time-Varying Delay

作　　者：鞠培军[1] 刘国彩[1] 

机构地区：[1]泰山学院数学与系统科学系,山东泰安271021

出　　处：《重庆师范大学学报（自然科学版）》2013年第4期66-71,共6页Journal of Chongqing Normal University:Natural Science

摘　　要：本文研究了区间变时滞广义系统的时滞依赖稳定性问题,即寻求稳定判据保证广义系统的正则性、无脉冲性和渐近稳定性。通过利用一个新的Lyapunov-Krasovskii泛函和自由权矩阵方法,得到了该系统渐近稳定的时滞依赖新判据。所提出的泛函,能充分利用区间时滞的上界、下界和这两个界中间值的信息。新判据以线性矩阵不等式形式给出,很容易利用MATLAB验证。数值算例表明,与参考文献中的方法相比,本文结果可获得较大的允许时滞上界,这也验证了方法的有效性。In this article,we concern with the problem of delay-dependent stability for singular systems with interval timevarying delay.The purpose of the problem is to design stability criteria such that the singular system is regular,impulse free and asymptotically stable.Some new delay-dependent stability criteria are derived by taking new Lyapunov-Krasovskii functional and free weighting matrices.The introduced functional makes use of the information of not only both the lower and upper bounds of the interval time-varying delay,but also the interval of the two bounds.The proposed stability criteria are given in terms of linear matrix inequality and it is accordingly easy to check by use of Matlab.Numerical examples are given to demonstrate that the proposed method can obtain larger allowable delay bounds than the methods in reference,which illustrates the effectiveness of the approach.

关 键 词：稳定 LYAPUNOV-KRASOVSKII泛函 广义系统 线性矩阵不等式(LMI) 

分 类 号：O231.1[理学—运筹学与控制论]