具有离散时滞与分时时滞的非自治系统的渐近稳定性  

Asymptotic Stability of nonautonomous system with the discrete and distributed time-varying delay

作　　者：杨红伟[1] 

机构地区：[1]石河子大学师院/兵团教院,新疆石河子832003

出　　处：《兵团教育学院学报》2008年第1期34-35,37,共3页Journal of Bingtuan Education Institute

摘　　要：研究了一类具有离散时滞与分布时滞的非自治线性系统的渐近稳定性问题,利用Lyapunov函数方法和线性矩阵不等式(LMI),得到了系统渐近稳定性的一些充分条件,这些条件能够利用线性矩阵不等式(LMIs)表示,且表达式中含有具有时变时滞与分布时滞项,这样,具有时变时滞与分布时滞的非自治线性系统的稳定性就能够通过Matlab的LMI工具箱进行验证。In this paper, asymptotic stability are investigated for nonautonomous linear system with both the discrete and distributed time- varying delays. By using the Lyapunov- Krasevskii function method and using linear matrix inequalities（LMI）, we give sufficient eonditions for the asymptotic stability of the system. These conditions are expressed in terms of LMIs, and are dependent on both the discrete and distributed time delays.Therefore,the stability of the linear system can be checked readily by resorting the Matlab LMI toolbox.

关 键 词：时滞 稳定性 线性矩阵不等式 LYAPUNOV 函数 

分 类 号：O175.1[理学—数学]