Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency | Zendy

Xinsong Yang | Zendy; Mengzhe Zhou | Zendy; Jinde Cao | Zendy

Open Access

Synchronization in Array of Coupled Neural Networks with Unbounded Distributed Delay and Limited Transmission Efficiency

Author(s) -

Xinsong Yang,

Mengzhe Zhou,

Jinde Cao

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/402031

Subject(s) - synchronization (alternating current) , transmission (telecommunications) , coupling (piping) , control theory (sociology) , matlab , mathematics , artificial neural network , state (computer science) , node (physics) , matrix (chemical analysis) , topology (electrical circuits) , computer science , algorithm , telecommunications , mechanical engineering , materials science , control (management) , structural engineering , combinatorics , artificial intelligence , machine learning , engineering , composite material , operating system

This paper investigates global synchronization in an array of coupled neural networks with time-varying delays and unbounded distributed delays. In the coupled neural networks, limited transmission efficiency between coupled nodes, which makes the model more practical, is considered. Based on a novel integral inequality and the Lyapunov functional method, sufficient synchronization criteria are derived. The derived synchronization criteria are formulated by linear matrix inequalities (LMIs) and can be easily verified by using Matlab LMI Toolbox. It is displayed that, when some of the transmission efficiencies are limited, the dynamics of the synchronized state are different from those of the isolated node. Furthermore, the transmission efficiency and inner coupling matrices between nodes play important roles in the final synchronized state. The derivative of the time-varying delay can be any given value, and the time-varying delay can be unbounded. The outer-coupling matrices can be symmetric or asymmetric. Numerical simulations are finally given to demonstrate the effectiveness of the theoretical results

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