不确定性中立型时滞系统的鲁棒稳定性  

Robust stability of uncertain neutral system with time delays

作　　者：荆天[1] 史玉英[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《西南民族大学学报（自然科学版）》2009年第5期947-950,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：河南省自然基金资助(072300410370)

摘　　要：通过构造Lyapunov泛函,利用积分不等式方法对具有结构不确定性中立型时滞系统的鲁棒稳定性进行分析和研究,得到系统鲁棒渐近稳定的充分条件.该条件是利用线性矩阵不等式(LMI)表示的,故可用MATLAB中的LMI工具箱求解.最后通过算例说明结论具有较小的保守性.By constructing Lyapunov functional, in this paper, the robust stability of uncertain neutral systems with time-varying delays is analyzed with the integral-inequality method. Sufficient conditions are proposed to guarantee asymptotic stability for the systems considered. The derived sufficient conditions are expressed in terms of linear matrix inequality （LMI）. So the solution can be found by the LMI toolbox of MATLAB. Finally an example is presented to demonstrate that the proposed criterion is less conservative.

关 键 词：中立型系统 不确定性 鲁棒稳定 LMI 

分 类 号：O175.13[理学—数学]