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New Delay-dependent Stability Criterion for Neural Networks with Discrete and Distributed Time-varying Delays  

Park, Myeong-Jin (충북대학교 전기공학과)
Kwon, Oh-Min (충북대학교 전기공학과)
Park, Ju-Hyun (영남대학교 전기공학과)
Lee, Sang-Moon (대구대학교 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.58, no.9, 2009 , pp. 1809-1814 More about this Journal
Abstract
In this paper, the problem of stability analysis for neural networks with discrete and distributed time-varying delays is considered. By constructing a new Lyapunov functional, a new delay-dependent stability criterion for the network is established in terms of LMIs (linear matrix inequalities) which can be easily solved by various convex optimization algorithms. Two numerical example are included to show the effectiveness of proposed criterion.
Keywords
Neural network; Interval time-varying delays; Lyapunov method; Linear matrix inequality (LMI);
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Times Cited By SCOPUS : 1
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1 C.H. Lien, 'Global asymptotic stability for cellular neural networks with discrete and distributed time-varying delays', Chaos Solitons & Fractals, vol.34, pp.1213-1219, 2007   DOI   ScienceOn
2 M. Ramesh and S. Narayanan. 'Chaos control of bonhoeffervan der pol oscillator using neural networks', Chaos Solitons & Fractals, vol.12, pp.2395-2405, 2001   DOI   ScienceOn
3 K. Ma, L. Yu, 'Global exponential stability of cellular neural networks with time-varying discrete and distributed delays', Neurocomputing, doi:10.1016/j.neucom.2008.10.00 1, 2008   DOI   ScienceOn
4 S. Boyd, L.El Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, 1994
5 J. Cao, 'Global asymptotic stability of neural networks with transmission delays', International Journal of System Science, vol.31 pp.1313-1316, 2000   DOI   ScienceOn
6 K. Gu, An integral inequality in the stability problem of time-delay systems, Proceedings of39th IEEE Conference on Decision and Control, pp.2805-2810, 2000   DOI
7 S. Mohamad, 'Global exponential stability in DCNNs with distributed delays and unbounded activations', Journal of Computational and Applied Mathematics, vol.205, pp.161-173, 2007   DOI   ScienceOn
8 C.C. Hua and X. Guan, 'New results on stability analysis of neural networks with time-varying delays', Physics Letters A, vol.352, pp.335-340, 2006   DOI   ScienceOn
9 S. Arik, 'An analysis of global asymptotic stability of delayed cellular neural networks', IEEE Transactions on Neural Networks, vol.13, pp.1239-1242, 2002   DOI   ScienceOn
10 B. Cannas, S. Cincotti and F. Pilo, 'Learning of chua's circuit attractors by locally recurrent neural networks', Chaos Solitons & Fractals, vol.12, pp.2109-2115, 2001   DOI   ScienceOn
11 K. Otawara, L.T. Fan and K. Yoshida, 'An articial neural network as a model for chaotic behavior of a three-phase fluidized bed', Chaos Solitons & Fractals, vol.13, pp.353-362, 2002   DOI   ScienceOn
12 H. Cho and J.H. Park, 'Novel delay-dependent robust stability criterion of delayed cellular neural networks', Chaos, Solitons & Fractals, Vol.32, pp.1194-1200, 2007   DOI   ScienceOn
13 S. Arik, 'An improved global stability result for delayed cellular neural networks', IEEE Transactions on Circuits and Systems I : Regular Papers, vol.49, pp.1211-1214, 2002   DOI   ScienceOn
14 J.H. Park, 'A new stability analysis of delayed cellular neural networks', Applied Mathematics and Computation, vol.181, pp.200-205, 2006   DOI   ScienceOn