GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS

M.PRIA SOUNDARYA; S.RAMADEVI

GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS

July 2017

Vol-3, Issue-4

Paper ID: 6182

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

MATHEMATICS

Keywords

Asymptotic stability Exponential stability discrete-time recurrent neural network multiple time varying delays monotone non-decreasing.

Abstract

This paper presents several sufficient conditions and analytical results are established for the global asymptotic stability and global exponential stability of a class of discrete-time recurrent neural network with multiple time varying delays. The linear matrix inequality approach and the globally Lipschitz continuous and monotone non-decreasing activation functions are employed in our investigation. A necessary and sufficient condition is formulated to guarantee the existence and uniqueness of equilibria of such DTRNNS. The obtain results are less restrictive and different from existing ones are also applied to recurrent neural networks with constant time delays.

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Author Information

#	Name	Institute / Affiliation
1	M.PRIA SOUNDARYA	Vivekanandha college of Arts and Sciences For Women (Autonomous),Tamilnadu, India.
2	S.RAMADEVI	Vivekanandha college of Arts and Sciences For Women (Autonomous),Tamilnadu, India.

How to Cite

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APA Style

SOUNDARYA, M.PRIA & S.RAMADEVI (2017). GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS. International Journal of Advance Research and Innovative Ideas In Education, 3(4), 1479-1486.

MLA Style

SOUNDARYA, M.PRIA, and S.RAMADEVI. "GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS." International Journal of Advance Research and Innovative Ideas In Education, vol. 3, no. 4, 2017, pp. 1479-1486.

IEEE Style

M.PRIA SOUNDARYA and S.RAMADEVI, "GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS," International Journal of Advance Research and Innovative Ideas In Education, vol. 3, no. 4, pp. 1479-1486, 2017.

Vancouver Style

SOUNDARYA M.PRIA, S.RAMADEVI. GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS. International Journal of Advance Research and Innovative Ideas In Education. 2017;3(4):1479-1486.

Harvard Style

SOUNDARYA, M.PRIA & S.RAMADEVI (2017) 'GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS', International Journal of Advance Research and Innovative Ideas In Education, 3(4), pp. 1479-1486.

Chicago Style

SOUNDARYA, M.PRIA and S.RAMADEVI. "GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS." International Journal of Advance Research and Innovative Ideas In Education 3, no. 4 (2017): 1479-1486.

Turabian Style

SOUNDARYA, M.PRIA and S.RAMADEVI. "GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS." International Journal of Advance Research and Innovative Ideas In Education 3, no. 4 (2017): 1479-1486.