摘要
本文利用一个非二次型李雅普诺夫函数,对变系数线性系统给出了一个新的谱不等式.不同于Wazewski不等式,我们避免了需要计算时变矩阵特征值的困难.然后我们利用新的谱不等式,讨论了变系数线性系统对部分变元的指数稳定性,得到了更实用的结果.
In this paper, by using a non-quadratic Lyapunov function, we prove a new spectral inequality for linear time-varying systems with possibly unbounded coefficients. Unlike Wazewski＇s inequality,we do not require the calculation of eigenvalues for time-dependent matrices. The new spectral estimate is then applied to study the partial exponential stability problem of linear time-varying systems and several practical results are obtained.
出处
《应用数学》
CSCD
北大核心
2007年第4期814-819,共6页
Mathematica Applicata
作者简介
郭韵霞,女,汉,河南人,副教授,硕士,研究方向：微分方程稳定性.
