摘要
By generalizing and developing C. V.Pao's inner product method in studying the Liapunov stability, this paper deals with the extreme stability, Liapunov stibility, existence and uniqueness of the stationary position of nonlinear systems. The main results are applied to determine the stable oscillations of nonlinear periodic systems.
本文将C.V.Pao研究Liapunov稳定性的内积法改进、推广和发展,研究了非线性系统的非常稳定性、平衡位置的存在唯一性和Liapunov稳定性.将主要结果直接应用到非线性周期系统的稳态振荡的判定.
