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一类线性时变大系统的平稳振荡
A TYPE OF HARMONIC OSCILLATION OF A LINEAR LARGE-SCALE SYSTEM WITH VARIABLE TIME
【摘要】 <正> 令Ω是一个包含原点在内的有界集,如果对方程(1.1)存在正函数V(x,t),它在Ω和t≥0有定义,且极限关系在整个t的正半轴上一致成立;又假定在整个Ω~c和t≥0上都满足
【Abstract】 For the linear large-scale system with variable time dx/dt=A(t)x+f(t) where A(t+w)=A(t),f(t+w)=f(t),we have s decompositionwhere Ass is an ns×ns constant matrix and the eigenvalues of Ass have negative real parts.Using the method of Lyapunov function,we give the concerte bounds of correlation terms so that the large-scale system may have a unique periodic solution with period ω.
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,1985年04期
- 【被引频次】22
- 【下载频次】17