IJPAM: Volume 89, No. 4 (2013)

GLOBAL SYNCHRONIZATION OF HYBRID COUPLED
NEURAL NETWORKS WITH INTERVAL TIME-VARYING
AND UNBOUNDED DISTRIBUTED DELAYS VIA
SAMPLED-DATA FEEDBACK CONTROL

N. Yotha$^1$, T. Botmart$^2$, T. Mouktonglang$^3$
$^{1,3}$Department of Mathematics
Chiangmai University
Chiangmai, 50200, THAILAND
$^2$Department of Mathematics
Srinakharinwirot University
Bangkok, 10110, THAILAND


Abstract. In this paper, we shall investigate synchronization of neural networks with interval time-varying and unbounded distributed delay with hybrid coupling, which is composed of constant coupling and interval time-varying delays coupling. The designed controller ensures that the synchronization of hybrid couple delayed neural networks are proposed via feedback control and sampled-data feedback control. Based on the construction of improved Lyapunov-Krasovskii functionals and Kronecker product properties, several sufficient conditions are established to achieve global synchronization based on the design of the outer-coupling matrices, the inner-coupling matrices, and some free matrices representing the relationships between the system matrices. New synchronization criteria are derived in terms of LMIs which can be solved efficiently by standard convex optimization algorithms. Two numerical examples are included to show the effectiveness of the proposed feedback control method and sampled-data feedback control scheme.Text of the abstract.

Received: October 12, 2013

AMS Subject Classification: 47H09, 47H10

Key Words and Phrases: synchronization, neural networks, interval time-varying and unbounded distributed delays, hybrid coupling, sampled-data feedback control

Download paper from here.


DOI: 10.12732/ijpam.v89i4.13 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: 2013
Volume: 89
Issue: 4