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Title: :  GLOBAL STABILITY OF A CLASS OF DISCRETE-TIME RECURRENT NEURAL NETWORKS
PaperId: :  6182
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 3 Issue 4 2017
DUI:    16.0415/IJARIIE-6182
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
M.PRIA SOUNDARYA Vivekanandha college of Arts and Sciences For Women (Autonomous),Tamilnadu, India.
S.RAMADEVIVivekanandha college of Arts and Sciences For Women (Autonomous),Tamilnadu, India.

Abstract

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

Citations

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IJARIIE 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 Volume 3 Issue 4 2017 Page 1479-1486
MLA 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 3.4(2017) : 1479-1486.
APA M.PRIA SOUNDARYA, & 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.
Chicago 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 3, no. 4 (2017) : 1479-1486.
Oxford 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, 2017, p. 1479-1486. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/GLOBAL_STABILITY_OF_A_CLASS_OF_DISCRETE_TIME_RECURRENT_NEURAL_NETWORKS_ijariie6182.pdf (Accessed : 21 July 2017).
Harvard M.PRIA SOUNDARYA, and 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. 1479-1486IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/GLOBAL_STABILITY_OF_A_CLASS_OF_DISCRETE_TIME_RECURRENT_NEURAL_NETWORKS_ijariie6182.pdf (Accessed : 21 July 2017)
IEEE 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, Jul-Aug 2017. [Online]. Available: http://ijariie.com/AdminUploadPdf/GLOBAL_STABILITY_OF_A_CLASS_OF_DISCRETE_TIME_RECURRENT_NEURAL_NETWORKS_ijariie6182.pdf [Accessed : 21 July 2017].
Turabian 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 [Online]. volume 3 number 4 (21 July 2017).
Vancouver 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 [Internet]. 2017 [Cited : 21 July 2017]; 3(4) : 1479-1486. Available from: http://ijariie.com/AdminUploadPdf/GLOBAL_STABILITY_OF_A_CLASS_OF_DISCRETE_TIME_RECURRENT_NEURAL_NETWORKS_ijariie6182.pdf
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