具滞后中立型线性大系统的指数稳定性  

The exponential stability for the neutral type linear large scale system with delays

作　　者：黎野平[1] 孟培源[1] 

机构地区：[1]咸宁师范高等专科学校,湖北咸宁437005

出　　处：《纯粹数学与应用数学》2002年第1期21-25,31,共6页Pure and Applied Mathematics

基　　金：湖北省教育厅自然科学基金资助项目 ( 2 0 0 0 A4 90 0 5 )

摘　　要：采用具有加权向量范数型李雅谱诺夫函数 ,对具滞后中立型线型大系统进行模型集结 ,得到集结系统 ;再运用比较原理与时域中的微分积分不等式 ,讨论相应集结系统 ,从而通过集结系统的稳定性 。By the Lyapunov function with weighted vector norm and modelling mass to the neutral type linear large scale system with delays, the corresponding massing system is obtained. Secondly, by means of the comparison principle and the differential-integral inequality in time domain, the massing system is discassed. Furthermore, from the stability to the massing system, the exponential stability for the neutral type linear large scale system with delays is presented.

关 键 词：滞后 中立型 指数稳定性 

分 类 号：O175.2[理学—数学] O193[理学—基础数学]