一类非线性时变系统关于部分变元的Lagrange稳定性  

Partial Lagrange Stability for a Class of Nonlinear Time Varying Systems

作　　者：郭韵霞 

机构地区：[1]珠海广播电视大学理工部,广东珠海519090

出　　处：《重庆工学院学报（自然科学版）》2009年第7期175-180,共6页Journal of Chongqing Institute of Technology

基　　金：珠海城市职业技术学院科研教研基金项目(020081201)

摘　　要：利用Gronwall-Bellman不等式和微分、积分不等式,结合Lyapunov函数,讨论了一类时变非线性微分方程组关于部分变元的Lagrange稳定性、等度Lagrange稳定性和一致Lagrange稳定性,得到了仅与系统右端本身的系数之间的积分关系或系数矩阵的特征值有关的代数判据.In this paper, Lyapunov functions together with Gronwall-Bellman inequality and other differential and integral inequalities are used to study Lagrange stability with respect to partial variables for a class of nonlinear time varying dynamical systems. Sufficient conditions are provided for the systems to be Lagrange stable, equi-Lagrange stable or uniformly Lagrange stable with respect to partial variables. The stability criteria are derived using only integrals or eigenvalues of the coefficient matrix of the systems.

关 键 词：微分系统 部分变元 LAGRANGE稳定性 LYAPUNOV函数 

分 类 号：O231.1[理学—运筹学与控制论]