New convergence on inertial neural networks with time-varying delays and continuously distributed delays

被引:20
作者
Cao, Qian [1 ]
Long, Xin [2 ,3 ]
机构
[1] Hunan Univ Arts & Sci, Coll Math & Phys, Changde 415000, Hunan, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
[3] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 06期
关键词
inertial neural networks; time-varying delay; distributed delay; global convergence; NICHOLSONS BLOWFLIES MODEL; LIMIT-CYCLES; STABILITY; DYNAMICS; SYSTEMS; ATTRACTORS; EQUATIONS; GRAPHS; SPACES;
D O I
10.3934/math.2020381
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a class of inertial neural networks with bounded time-varying delays and unbounded continuously distributed delays are explored by applying non-reduced order method. Based upon differential inequality techniques and Lyapunov function method, a new sufficient condition is presented to ensure all solutions of the addressed model and their derivatives converge to zero vector, which refines some previously known researches. Moreover, a numerical example is provided to illustrate these analytical conclusions.
引用
收藏
页码:5955 / 5968
页数:14
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