论文标题
关于二元性的Lyapunov功能
On Duality for Lyapunov Functions of Nonstrict Convex Processes
论文作者
论文摘要
本文为Lyapunov功能提供了一个新颖的定义,用于由凸过程定义的差异。结果表明,该定义反映了与以前使用的定义更好的稳定属性过程的稳定性。此外,本文提出了凸过程的弱lyapunov函数的条件,为凸过程的双重二重性产生了强大的lyapunov函数。
This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used definitions. In addition the paper presents conditions under which a weak Lyapunov function for a convex process yields a strong Lyapunov function for the dual of the convex process.