Semi-Definite Lyapunov Functionals in the Stability Problem of Volterra Integral-Differential Equations

被引：2
作者：
Andreev, Aleksandr S. [1 ]
Peregudova, Olga A. [1 ]
机构：
[1] Ulyanovsk State Univ, Ulyanovsk, Russia
来源：
IFAC PAPERSONLINE | 2019年 / 52卷 / 18期
基金：
俄罗斯基础研究基金会;
关键词：
Volterra integral-differential equation; stability; hereditary mechanical system; Lyapunov functional; ASYMPTOTIC-STABILITY; INSTABILITY;
D O I：
10.1016/j.ifacol.2019.12.214
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of the complete and partial stability of Volterra integro-differential equations is considered using the development of the Lyapunov functionals method. New theorems are obtained and applied in the study of the motion stability of a hereditary mechanical system. Copyright (C) 2019. The Authors. Published by Elsevier Ltd. All rights reserved.
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页码：103 / 108
页数：6
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