New results on global stability analysis of discontinuous Cohen-Grossberg neural networks of neutral-type hi Hale's form

被引:1
作者
Kong, Fanchao [1 ,2 ]
Zhu, Quanxin [2 ]
机构
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu, Anhui, Peoples R China
[2] Hunan Normal Univ, Coll Math & Stat, Key Lab HPC SIP MOE, Changsha 410081, Hunan, Peoples R China
关键词
Cohen-Grossberg neural networks; neutral-type; discontinuous neuron activations; Hale's form; global asymptotic stability; PERIODIC-SOLUTION; LEAKAGE DELAYS; SYNCHRONIZATION; BEHAVIOR; SYSTEMS;
D O I
10.1080/00207179.2020.1800100
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, we aim to investigate the globally asymptotic stability of the equilibrium point for the discontinuous Cohen-Grossberg neural networks of neutral-type in Hale's form. The functional differential inclusions theory, inequality technique and the non-smooth Lyapunov-Krasovskii functional are invoked and some new delay independent sufficient conditions are derived. The considered neural system extends some previous related ones to the discontinuous case. In addition, the imposed essential condition Sigma(n)(j=1) c(ij)(+) < 1 or c(i)(+) < 1 (i = 1,2, ...n) in the previous researches on neutral-type neural networks in Hale's form will not be needed in this paper. Consequently, compared with the previous stability results on the neutral-type Cohen-Grossberg neural networks, the results established are more generalised and take more advantages. Finally, the effectiveness of the established results are validated via two numerical examples and simulations.
引用
收藏
页码:516 / 525
页数:10
相关论文
共 36 条
[1]  
[Anonymous], 1988, Differential Equations With Discontinuous Right-Hand Side
[2]   Generalized Lyapunov approach for functional differential inclusions [J].
Cai, Zuowei ;
Huang, Lihong .
AUTOMATICA, 2020, 113
[3]   Globally asymptotic stability of a class of neutral-type neural networks with delays [J].
Cheng, Chao-Jung ;
Liao, Teh-Lu ;
Yan, Jun-Juh ;
Hwang, Chi-Chuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (05) :1191-1195
[4]  
Clarke F.H., 1983, OPTIMIZATION NONSMOO
[5]   Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions [J].
Ding, Xiaoshuai ;
Cao, Jinde ;
Alsaedi, Ahmed ;
Alsaadi, Fuad E. ;
Hayat, Tasawar .
NEURAL NETWORKS, 2017, 90 :42-55
[6]   Existence and asymptotic behavior results of periodic solution for discrete-time neutral-type neural networks [J].
Du, Bo ;
Liu, Yurong ;
Abbas, Ibrahim Atiatallah .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (02) :448-461
[7]   Almost periodic solution for a neutral-type neural networks with distributed leakage delays on time scales [J].
Du, Bo ;
Liu, Yurong ;
Batarfi, Hanan Ali ;
Alsaadi, Fuad E. .
NEUROCOMPUTING, 2016, 173 :921-929
[8]   Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations [J].
Forti, A ;
Grazzini, A ;
Nistri, P ;
Pancioni, L .
PHYSICA D-NONLINEAR PHENOMENA, 2006, 214 (01) :88-99
[9]  
Hale J.K, 1977, THEORY FUNCTIONAL DI
[10]   Stability analysis of almost periodic solutions of discontinuous BAM neural networks with hybrid time-varying delays and D operator [J].
Kong, Fanchao ;
Zhu, Quanxin ;
Wang, Kai ;
Nieto, Juan J. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (18) :11605-11637