Passivity and Passivity-Based Synchronization of Switched Coupled Reaction-Diffusion Neural Networks with State and Spatial Diffusion Couplings

被引：14
作者：
Huang, Yanli [1 ]
Ren, Shunyan [2 ]
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 300387, Peoples R China
来源：
NEURAL PROCESSING LETTERS | 2018年 / 47卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Switching topology; Coupled reaction-diffusion neural networks; Passivity; Spatial diffusion coupling; Synchronization; TIME-VARYING DELAYS; COMPLEX DYNAMICAL NETWORKS; SYSTEMS; STABILITY; TERMS; DISSIPATIVITY; LEAKAGE;
D O I：
10.1007/s11063-017-9651-1
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The authors investigate the passivity problem of switched coupled reaction-diffusion neural networks (SCRDNNs) with state and spatial diffusion couplings in this paper. For the considered network model, we derive an input strict passivity (ISP) criterion and an output strict passivity (OSP) criterion respectively by constructing an appropriate Lyapunov functional and exploiting Green's formula and some other useful inequalities. Additionally, the authors also establish the relationship between exponential stability and OSP. Moreover, a sufficient condition for achieving synchronization of the considered SCRDNNs with hybrid coupling is presented according to the deduced OSP result and the relationship between exponential stability and OSP. Finally, the correctness of the derived theoretical conclusions is illustrated by two examples with simulation results.
引用
收藏
页码：347 / 363
页数：17
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