Stability and Existence of Anti-Periodic Solution for FCNNs With Time-Varying Delays and Impulsive Impacts

被引:2
作者
Zhang, Qianhong [1 ]
Lin, Fubiao [1 ]
Hu, Mingjun [2 ]
机构
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230022, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Exponential stability; anti-periodic solution; fuzzy cellular neural networks; time-varying delays; impulsive impacts; CELLULAR NEURAL-NETWORKS; GLOBAL EXPONENTIAL STABILITY; DISTRIBUTED DELAYS; PERIODIC-SOLUTION; MIXED DELAYS; CONVERGENCE;
D O I
10.1109/ACCESS.2019.2893482
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the problem of anti-periodic solution for fuzzy cellular neural networks (FCNNs) with time-varying delays and impulsive impacts. Utilizing Krasnoselski's fixed point theorem and contraction principle, developing some appropriate Lyapunov functional, some adequate conditions are set up for the global exponential stability and existence of anti-periodic solutions of FCNNs with time-varying delays and impulsive impacts. In addition, a model is exhibited to represent results setup.
引用
收藏
页码:21734 / 21743
页数:10
相关论文
共 35 条
[1]   The existence and stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects [J].
Abdurahman, Abdujelil ;
Jiang, Haijun .
NEUROCOMPUTING, 2015, 149 :22-28
[2]   Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients [J].
Chen, AP ;
Cao, JD .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 134 (01) :125-140
[3]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[4]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[5]   Exponential stability criteria for fuzzy bidirectional associative memory Cohen-Grossberg neural networks with mixed delays and impulses [J].
He, Weina ;
Chu, Longxian .
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[6]   Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays [J].
Huang, Chuangxia ;
Cao, Jinde .
NEUROCOMPUTING, 2009, 72 (13-15) :3352-3356
[7]   Necessary and sufficient condition for the absolute exponential stability of a class of neural networks with finite delay [J].
Huang, TW ;
Cao, JD ;
Li, CD .
PHYSICS LETTERS A, 2006, 352 (1-2) :94-98
[8]   Global exponential convergence of fuzzy complex-valued neural networks with time-varying delays and impulsive effects [J].
Jian, Jigui ;
Wan, Peng .
FUZZY SETS AND SYSTEMS, 2018, 338 :23-39
[9]  
Krasnoselskii M.A., 1964, Positive solutions of operator equations
[10]   Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations [J].
Li, Xiaodi ;
Rakkiyappan, R. ;
Balasubramaniam, P. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (02) :135-155