ON CONTRACTION OF FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：12
|
作者：
Pham Huu Anh Ngoc [1 ]
Hieu Trinh [2 ]
机构：
[1] Vietnam Natl Univ Ho Chi Minh City, Int Univ, Dept Math, Sai Gon, Vietnam
[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2018年 / 56卷 / 03期
关键词：
functional differential equations; contraction; exponential stability; periodic solutions; TIME-VARYING DELAYS; CELLULAR NEURAL-NETWORKS; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; ASYMPTOTIC STABILITY; NONLINEAR-SYSTEMS; NEUTRAL TYPE; EXISTENCE; CRITERIA; ATTRACTIVITY;
D O I：
10.1137/16M1092672
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
General nonlinear functional differential equations are considered. Explicit criteria for contraction of such equations are presented. Then explicit criteria for global exponential stability of equilibria and for existence, uniqueness, and global exponential stability of periodic orbits are derived. Some illustrative examples are given.
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页码：2377 / 2397
页数：21
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