关于李雅普诺夫第二方法的教学探究

Teaching Exploration of Lyapunov’s Second Method

李雅普诺夫第二方法在自然科学研究中有着广泛的应用。大多数的本科生常微分方程教材只是简单地叙述了这种方法,但是对于李雅普诺夫函数的构造方法和具体形式并没有给出详细的介绍。鉴于此,作者归纳总结几种常用的构造方法和形式,为教学提供参考。

Lyapunov’s second method is widely used in natural science research.Most undergraduate text-books of Ordinary Differential Equations simply describe this method,but the construction method and form of Lyapunov function are not been introduced in detail.In view of this,the author summarizes several commonly used construction methods and forms,which provides a reference for teaching.