Construction of Lyapunov Functions by the Localization Method

被引：1
|
作者：
Krishchenko, A. P. [1 ]
Kanatnikov, A. N. [1 ]
机构：
[1] Bauman Moscow State Tech Univ, 2 Aya Baumanskaya Ul 5, Moscow 105005, Russia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016) | 2017年 / 1863卷
基金：
俄罗斯基础研究基金会;
关键词：
SYSTEMS;
D O I：
10.1063/1.4992722
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we examine the problem of construction of Lyapunov functions for asymptotically stable equilibrium points. We exploit conditions of asymptotic stability in terms of compact invariant sets and positively invariant sets. Our results are methods of verification of these conditions and construction of Lyapunov functions by the localization method of compact invariant sets. These results are illustrated by an example.
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页数：4
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