Algebraic criteria for periodic oscillatory synchronization of the generalized Lienard system are derived based respectively on the stability theory of linear time-varied systems, Lyapunov direct method and Gerschgorin disc theorem.
基于线性时变系统的稳定性理论,李雅普诺夫直接法和Gerschgorin圆盘定理求得判定广义Lienard方程振动系统达到全局同步的几种不同的代数判据。
参考来源 - 非线性振动系统的同步与控制·2,447,543篇论文数据，部分数据来源于NoteExpress
本文将提出一些十分简洁的代数判据。
This paper will advance some very succinct algebraic criteria.
给出系统均方指数稳定和几乎必然指数稳定的代数判据。
And the algebraic criteria of exponential stability and almost sure exponential stability are given.
首先从传递函数可否约分的概念出发，提出了可控可观测新的代数判据；
Starting from the concept of whether or not the transfer function can be made common denomination, a new algebraic criterion of controllability and observability is introduced.
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