非线性非自治大系统的平稳振荡  

Stationary Oscillation for Nonlinear and Nonautomonous Large-scale System

作　　者：党新益[1] 应益荣[1] 李辉[1] 

机构地区：[1]西北建筑工程学院,安徽机电学院基础部运筹室

出　　处：《西北建筑工程学院学报（自然科学版）》1996年第3期148-150,153,共4页Journal of Northwestern Institute of Architectural Engineering

摘　　要：引入了矩阵的相对测度的概念，得到了非线性非自治大系统有唯一稳定的平稳振荡的充分条件，对大系统获得了平稳振荡的一个充分条件。For the nonlinear and nonautomonous large-scale system x=f(x,t) (A) the sufficient conditions are derived to guarantee that (A) has unique and asymptotically stable stationary oscillation by introducing the conception of a relative matrix measure. Then a sufficient condition of stationary oscillation is obtained for large-scale system. (B) These conditions are simple and easily verifiable.

关 键 词：大系统 平稳振荡 渐近稳定 微分方程 稳定性 

分 类 号：O175.13[理学—数学]