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Synchronization of coupled neutral-type neural networks with jumping-mode-dependent discrete and unbounded distributed delays

journal contribution
posted on 06.12.2017, 00:00 by Yurong Liu, Z Wang, J Liang, X Liu
In this paper, the synchronization problem is studied for an array of N identical delayed neutral-type neural networks with Markovian jumping parameters. The coupled networks involve both the mode-dependent discrete-time delays and the mode-dependent unbounded distributed time delays. All the network parameters including the coupling matrix are also dependent on the Markovian jumping mode. By introducing novel Lyapunov-Krasovskii functionals and using some analytical techniques, sufficient conditions are derived to guarantee that the coupled networks are asymptotically synchronized in mean square. The derived sufficient conditions are closely related with the discrete-time delays, the distributed time delays, the mode transition probability, and the coupling structure of the networks. The obtained criteria are given in terms of matrix inequalities that can be efficiently solved by employing the semidefinite program method. Numerical simulations are presented to further demonstrate the effectiveness of the proposed approach.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

43

Issue

1

Start Page

102

End Page

114

Number of Pages

13

eISSN

2168-2275

ISSN

2168-2267

Location

Piscataway, NJ

Publisher

IEEE

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Brunel University; Dong nan da xue; TBA Research Institute; Yangzhou da xue;

Era Eligible

Yes

Journal

IEEE transactions on cybernetics.