变系数线性系统解的新估计及部分变元稳定性  

New Estimate for and Partial Stability of Linear Time-Varying Systems

作　　者：郭韵霞 

机构地区：[1]珠海广播电视大学,广东珠海519000

出　　处：《重庆工学院学报》2007年第15期136-141,共6页Journal of Chongqing Institute of Technology

摘　　要：首先用一个分片线性李雅普诺夫函数对变系数线性微分方程组的解给出一个新估计,然后利用新估计式研究了变系数线性系统对部分变元的稳定性,给出了几个简易实用的渐近稳定性判别新准则.This paper uses a piecewise linear Lyapunov function and derives a new estimate for solutions of linear time-varying systems. The new solution estimate is then applied to study the stability problem for linear time-varying systems. Several new and easily verifiable sufficient conditions are obtained for asymptotic stability as well as uniform asymptotic stability with respect to partial variables.

关 键 词：变系数线性系统 Wazewski不等式 李雅普诺夫函数 部分变元的稳定性 

分 类 号：O175[理学—数学]