论文标题
定位由最大单调算子支配的差分夹杂物的定理
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators
论文作者
论文摘要
在本文中，我们有兴趣研究由最大单调算子支配的差异夹杂物解决方案的渐近行为。如果LaSalle的不变性原理尚无定论，我们提供了不变性原理定理的精致版本。该结果来自定位动态有限解决方案的$ω$限制集的问题。此外，我们提出了LaSalle不变性原则的扩展，该原则使我们能够给出$ω$ limit集的更清晰的位置。提供的结果是根据非平滑lyapunov配对型函数给出的。
In this paper, we are interested in studying the asymptotic behavior of the solutions of differential inclusions governed by maximally monotone operators. In the case where the LaSalle's invariance principle is inconclusive, we provide a refined version of the invariance principle theorem. This result derives from the problem of locating the $ω$-limit set of a bounded solution of the dynamic. In addition, we propose an extension of LaSalle's invariance principle, which allows us to give a sharper location of the $ω$-limit set. The provided results are given in terms of nonsmooth Lyapunov pair-type functions.
