Balasubramaniam-pour, P., Ratnavelu, K., Kalpana, M. (2015). Linear matrix inequality approach for synchronization of chaotic fuzzy cellular neural networks with discrete and unbounded distributed delays based on\ sampled-data control. Iranian Journal of Fuzzy Systems, 12(5), 77-98. doi: 10.22111/ijfs.2015.2112

P. Balasubramaniam-pour; K. Ratnavelu; M. Kalpana. "Linear matrix inequality approach for synchronization of chaotic fuzzy cellular neural networks with discrete and unbounded distributed delays based on\ sampled-data control". Iranian Journal of Fuzzy Systems, 12, 5, 2015, 77-98. doi: 10.22111/ijfs.2015.2112

Balasubramaniam-pour, P., Ratnavelu, K., Kalpana, M. (2015). 'Linear matrix inequality approach for synchronization of chaotic fuzzy cellular neural networks with discrete and unbounded distributed delays based on\ sampled-data control', Iranian Journal of Fuzzy Systems, 12(5), pp. 77-98. doi: 10.22111/ijfs.2015.2112

Balasubramaniam-pour, P., Ratnavelu, K., Kalpana, M. Linear matrix inequality approach for synchronization of chaotic fuzzy cellular neural networks with discrete and unbounded distributed delays based on\ sampled-data control. Iranian Journal of Fuzzy Systems, 2015; 12(5): 77-98. doi: 10.22111/ijfs.2015.2112

Linear matrix inequality approach for synchronization of chaotic fuzzy cellular neural networks with discrete and unbounded distributed delays based on\ sampled-data control

^{1}Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram - 624 302, Tamilnadu, India

^{2}Institute of Mathematical Sciences, Faculty of Science, University of Malaya - 50603, Kuala Lumpur, Malaysia

Abstract

In this paper, linear matrix inequality (LMI) approach for synchronization of chaotic fuzzy cellular neural networks (FCNNs) with discrete and unbounded distributed delays based on sampled-data control is investigated. Lyapunov-Krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of LMIs ensuring the delayed FCNNs to be asymptotically synchronous. The restriction such as the time-varying delay required to be differentiable or even its time-derivative assumed to be smaller than one, are removed. Instead, the time-varying delay is only assumed to be bounded. Finally, numerical examples and its simulations are provided to demonstrate the effectiveness of the derived results.

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