Passivity and synchronization of switched coupled reaction-diffusion neural networks with non-delayed and delayed couplings

被引:13
作者
Huang, Yan-Li [1 ]
Ren, Shun-Yan [2 ]
Wu, Jigang [3 ]
Xu, Bei-Bei [1 ]
机构
[1] Tianjin Polytech Univ, Tianjin Key Lab Optoelect Detect Technol & Syst, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China
[2] Tianjin Polytech Univ, Sch Mech Engn, Tianjin, Peoples R China
[3] Guangdong Univ Technol, Sch Comp, Guangzhou, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
Coupled reaction-diffusion neural networks; synchronization; switching topology; input strict passivity; output strict passivity; COMPLEX DYNAMICAL NETWORKS; STABILITY; SYSTEMS; TOPOLOGY; TERMS; ARRAY;
D O I
10.1080/00207160.2018.1463437
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents a general array model of switched coupled reaction-diffusion neural networks (CRDNNs) with non-delayed and delayed couplings. By utilizing some inequality techniques, we derive several sufficient conditions ensuring the input strict passivity and output strict passivity of the proposed network model. In addition, by constructing an appropriate Lyapunov functional, a sufficient condition is established in the form of linear matrix inequations to guarantee synchronization of CRDNNs with switched topology. Numerical examples with simulation results are provided to demonstrate the effectiveness and correctness of the obtained results.
引用
收藏
页码:1702 / 1722
页数:21
相关论文
共 58 条
[11]   Passivity and complexity [J].
Chua, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82
[12]  
Gray C M, 1994, J Comput Neurosci, V1, P11, DOI 10.1007/BF00962716
[13]   The mathematics of infectious diseases [J].
Hethcote, HW .
SIAM REVIEW, 2000, 42 (04) :599-653
[14]   STABILITY RESULTS FOR NONLINEAR FEEDBACK-SYSTEMS [J].
HILL, DJ ;
MOYLAN, PJ .
AUTOMATICA, 1977, 13 (04) :377-382
[15]   Pattern recognition via synchronization in phase-locked loop neural networks [J].
Hoppensteadt, FC ;
Izhikevich, EM .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (03) :734-738
[16]   Novel image fusion method based on adaptive pulse coupled neural network and discrete multi-parameter fractional random transform [J].
Lang, Jun ;
Hao, Zhengchao .
OPTICS AND LASERS IN ENGINEERING, 2014, 52 :91-98
[17]   Passivity analysis of neural networks with time delay [J].
Li, CG ;
Liao, XF .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (08) :471-475
[18]   Impulsive synchronization schemes of stochastic complex networks with switching topology: Average time approach [J].
Li, Chaojie ;
Yu, Wenwu ;
Huang, Tingwen .
NEURAL NETWORKS, 2014, 54 :85-94
[19]   Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks [J].
Liang, Jinling ;
Wang, Zidong ;
Liu, Yurong ;
Liu, Xiaohui .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (11) :1910-1921
[20]   Synchronization of linearly coupled neural networks with reaction-diffusion terms and unbounded time delays [J].
Liu, Xiwei .
NEUROCOMPUTING, 2010, 73 (13-15) :2681-2688