IJPAM: Volume 92, No. 5 (2014)

EXPONENTIAL SYNCHRONIZATION FOR HYBRID
COUPLED NEURAL NETWORKS WITH TIME
DELAYS VIA INTERMITTENT FEEDBACK CONTROLS

N. Yotha$^1$, T. Mouktonglang$^2$, T. Botmart$^3$
$^1$Department of Mathematics Chiangmai University
Chiangmai, 50200, THAILAND
$^{2,3}$Department of Mathematics
Srinakharinwirot University
Bangkok, 10110, THAILAND
$^{3}$Centre of Excellent in Mathematics CHE
Si Ayutthaya Rd., Bangkok 10400, THAILAND


Abstract. This paper, investigates the exponential synchronization of neural networks with time delays and hybrid coupling composed of constant coupling, time-varying delay coupling and distributed delay coupling. The designed controller ensures the exponential synchronization of hybrid couple delayed neural networks are proposed via intermittence feedback control. Based on the design of the outer-coupling matrices, the inner-coupling matrix matrices, and some free matrices representing the relationships between the system matrices. Some sufficient conditions are established to achieve exponential synchronization by constructing of improved Lyapunov-Krasovskii functionals and Kronecker product properties. The criteria are derived in terms of LMIs which can be solved efficiently by standard convex optimization algorithms. A numerical example and its simulation are given to show the effectiveness of the obtained results.

Received: October 12, 2013

AMS Subject Classification: 47H09, 47H10

Key Words and Phrases: neural networks, exponential synchronization, time-varying delays, leakage delay, hybrid coupling

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DOI: 10.12732/ijpam.v92i5.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 5
Pages: 619 - 644

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).