摘要
讨论李雅鲁诺夫函数构造与势函数的关系。指出 E.T.Wall方法只适用于一些特殊的非性线性系统,对于一般的非线性保守系统,只须求出该系统的势函数,就很容易求出该系统的李雅普诺夫函数。所给的方法,改进了国内外已有的结果。
This paper discussed the relation of Lyapunov function andpower function.Pointing out the methed of E. T. wall is only applied to somespecial nonlinear systems. In general nonlinear conservative system. It is neces-sary to present only the power function of the system. Then, it is easy to findLyapunov function of the system. The given method improved some of the resultshaving published at home and abroad.