EN
Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays
Öz
This paper deals with the problem of robust stability of the class of bidirectional associative memory (BAM) neural networks with multiple time delays. Several new sufficient conditions that imply the existence, uniqueness and global robust stability of the equilibrium point for the class of BAM neural networks are obatined by the use of the proper Lyapunov functionals and exploiting the norm properties of the interval matrices. The derived results basically depend on the system parameters of neural network model and they are independent of the time delays. We also give some numerical examples to show the applicability and novelty of the results, and compare the results with the corresponding robust stability results derived in the previous literature.
Anahtar Kelimeler
Kaynakça
- [1] C-D. Zheng, H. Zhang and Z. Wang, “Novel Exponential Stability Criteria of High-Order Neural Networks With Time-Varying Delays”, IEEE Transactions On Systems Man And Cybernetics Part B:Cybernetics , vol. 41, no. 2, pp. 486-496, 2011
- [2] Q. Song and Z. Wang, “Neural networks with discrete and distributed time-varying delays: A general stability analysis”, Chaos, Solitons and Fractals, vol. 37, no. 5, pp. 1538-1547, 2008.
- [3] Y. He, G.P. Liu, D. Rees and M. Wu, “Stability analysis for neural networks with time-varying interval delay”, IEEE Transactions On Neural Networks, vol. 18, no. 6, pp. 1850-1854, 2007.
- [4] X. Meng, M. Tian and S. Hu, “Stability analysis of stochastic recurrent neural networks with unbounded time-varying delays”, Neurocomputing, vol. 74, no. 6, pp. 949-953, 2011.
- [5] H. Zhang, Z. Wang, and D. Liu, “Global asymptotic stability of recurrent neural networks with multiple time varying delays”, IEEE Transactions on Neural Networks, vol. 19, no. 5, pp. 855873, 2008.
- [6] R. Yang, Z. Zhang and P. Shi, “Exponential Stability on Stochastic Neural Networks With Discrete Interval and Distributed Delays”, IEEE Transactions on Neural Networks, vol. 21, no. 1, pp. 169-175, 2010.
- [7] R.-S. Gau, C.-H. Lien and J.-G. Hsieh, “Novel Stability Conditions For Interval Delayed Neural Networks With Multiple Time-Varying Delays”, International Journal Of Innovative Computing Information And Control, vol. 7, no. 1, pp. 433-444, 2011.
- [8] Z. Liu, H. Zhang and Q. Zhang, “Novel Stability Analysis for Recurrent Neural Networks with Multiple Delays via Line Integral-Type L-K Functional”, IEEE Transactions on Neural Networks, vol. 21, no. 11, pp. 1710-1718, 2010.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
27 Mart 2017
Gönderilme Tarihi
24 Mayıs 2016
Kabul Tarihi
31 Ocak 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 17 Sayı: 1
APA
Yucel, E. (2017). Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays. IU-Journal of Electrical & Electronics Engineering, 17(1), 3227-3238. https://izlik.org/JA63SS36BE
AMA
1.Yucel E. Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays. IU-Journal of Electrical & Electronics Engineering. 2017;17(1):3227-3238. https://izlik.org/JA63SS36BE
Chicago
Yucel, Eylem. 2017. “Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays”. IU-Journal of Electrical & Electronics Engineering 17 (1): 3227-38. https://izlik.org/JA63SS36BE.
EndNote
Yucel E (01 Mart 2017) Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays. IU-Journal of Electrical & Electronics Engineering 17 1 3227–3238.
IEEE
[1]E. Yucel, “Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays”, IU-Journal of Electrical & Electronics Engineering, c. 17, sy 1, ss. 3227–3238, Mar. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA63SS36BE
ISNAD
Yucel, Eylem. “Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays”. IU-Journal of Electrical & Electronics Engineering 17/1 (01 Mart 2017): 3227-3238. https://izlik.org/JA63SS36BE.
JAMA
1.Yucel E. Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays. IU-Journal of Electrical & Electronics Engineering. 2017;17:3227–3238.
MLA
Yucel, Eylem. “Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays”. IU-Journal of Electrical & Electronics Engineering, c. 17, sy 1, Mart 2017, ss. 3227-38, https://izlik.org/JA63SS36BE.
Vancouver
1.Eylem Yucel. Novel Conditions for Robust Stability of Bidirectional Associative Memory Neural Networks with Multiple Time Delays. IU-Journal of Electrical & Electronics Engineering [Internet]. 01 Mart 2017;17(1):3227-38. Erişim adresi: https://izlik.org/JA63SS36BE