131
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Stability conditions concerning neutral-type BAM neural networks with infinite distributed delay

, , &
Pages 502-516 | Received 21 Aug 2019, Accepted 23 Mar 2020, Published online: 20 May 2020

References

  • C. Aouiti, I.B. Gharbia, J.D. Cao, and A. Alsaedi, Dynamics of impulsive neutral-type BAM neural networks. J. Franklin. I. 81 (2019), pp. 2294–2324. doi: 10.1016/j.jfranklin.2019.01.028
  • C. Aouiti, I.B. Gharbia, J. Cao, M.S. M'hamdi, and A. Alsaedi, Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms. Chaos. Solitons. Fract. 107 (2018), pp. 111–127. doi: 10.1016/j.chaos.2017.12.022
  • P. Balasubramaniam, and R. Rakkiyappan, Global exponential stability for neutral-type BAM neural networks with time-varying delays. Int. J. Comput. Math. 87 (2010), pp. 2064–2075. doi: 10.1080/00207160802588544
  • P. Balasubramaniam, and V. Vembarasan, Asymptotic stability of BAM neural networks of neutral-type with impulsive effects and time delay in the leakage term. Int. J. Comput. Math. 88 (2011), pp. 3271–3291. doi: 10.1080/00207160.2011.591388
  • J.D. Cao, and L. Wang, Periodic oscillatory solution of bidirectional associative memory networks with delays. Phys. Rev. E 61 (2000), pp. 1825–1828. doi: 10.1103/PhysRevE.61.1825
  • J.D. Cao, and W. Ying, Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays. Neural Netw. 53 (2014), pp. 165–172. doi: 10.1016/j.neunet.2014.02.003
  • B. Chen, L. Yu, and W.A. Zhang, Exponential convergence rate estimation for neutral BAM neural networks with mixed time-delays. Neural. Comput. Appl. 20 (2011), pp. 451–460. doi: 10.1007/s00521-010-0415-3
  • I. Elsen, K. Kraiss, and D. Krumbiegel, Pixel Based 3D Object Recognition with Bidirectional Associative Memories, Proceedings of International Joint Conference on Neural Networks(ICNN'97). 3(1997), pp. 1679–1684.
  • R.S. Gau, J.G. Hsieh, and C.H. Lien, Global exponential stability for uncertain bidirectional associative memory neural networks with multiple time-varying delays via LMI approach. Int. J. Circ. Theory. App. 36 (2008), pp. 451–471. doi: 10.1002/cta.449
  • C.D. Huang, and J.D. Cao, Impact of leakage delay on bifurcation in high-order fractional BAM neural networks. Neural Netw. 98 (2018), pp. 223–235. doi: 10.1016/j.neunet.2017.11.020
  • C.D. Huang, Y.J. Meng, J.D. Cao, A. Ahmed, and F.E. Alsaadi, New bifurcation results for fractional BAM neural network with leakage delay. Chaos. Solitons. Fract. 100 (2017), pp. 31–44. doi: 10.1016/j.chaos.2017.04.037
  • B. Kosko, Adaptive bidirectional associative memories. Appl. Opt. 26 (1987), pp. 4947–4960. doi: 10.1364/AO.26.004947
  • B. Kosko, Bidirectional associative memories. IEEE T. Syst. Man. Cy-s 18 (1988), pp. 49–60. doi: 10.1109/21.87054
  • H. Li, C. Li, T. Huang, and W. Zhang, Fixed-time stabilization of impulsive Cohen–grossberg BAM neural networks. Neural Netw. 98 (2018), pp. 203–211. doi: 10.1016/j.neunet.2017.11.017
  • B. Liu, Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear, Anal.Real. 14 (2013), pp. 559–566. doi: 10.1016/j.nonrwa.2012.07.016
  • G.Q. Liu, and S.X. Yang, Stability criterion for BAM neural networks of neutral-type with Interval time-varying delays. Procedia. Eng. 15 (2011), pp. 2836–2840. doi: 10.1016/j.proeng.2011.08.534
  • J. Liu, and G. Zong, New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type. Neurocomputing 72 (2009), pp. 2549–2555. doi: 10.1016/j.neucom.2008.11.006
  • C. Maharajan, R. Raja, J.D. Cao, G. Rajchakit, and A. Alsaedi, Impulsive Cohen–grossberg BAM neural networks with mixed time-delays: an exponential stability analysis issue. Neurocomputing 275 (2018), pp. 2588–2602. doi: 10.1016/j.neucom.2017.11.028
  • G. Nagamani, G.S. Rajan, and Q. Zhu, Exponential state estimation for Memristor-based discrete-time BAM neural networks With Additive delay Components. IEEE. T. Cybernet. (2019), pp. 1–12.
  • J.H. Park, C.H. Park, O.M. Kwon, and S.M. Lee, A new stability criterion for bidirectional associative memory neural networks of neutral-type. Appl. Math. Comput. 199 (2008), pp. 716–722.
  • J. Qi, C. Li, and T. Huang, Stability of inertial BAM neural network with time-varying delay via impulsive control. Neurocomputing 161 (2015), pp. 162–167. doi: 10.1016/j.neucom.2015.02.052
  • M. Sader, A. Abdurahman, and H. Jiang, General decay synchronization of delayed BAM neural networks via nonlinear feedback control. Appl. Math. Comput. 337 (2018), pp. 302–314.
  • C. Sowmiya, R. Raja, J.D. Cao, and G. Rajchakit, Impulsive discrete-time BAM neural networks with random parameter uncertainties and time-varying leakage delays: an asymptotic stability analysis. Nonlinear Dynam. 91 (2018), pp. 2571–2592. doi: 10.1007/s11071-017-4032-x
  • Y.L. Wang, and J.D. Cao, Exponential stability of stochastic higher-order BAM neural networks with reaction-diffusion terms and mixed time-varying delays. Neurocomputing 119 (2013), pp. 192–200. doi: 10.1016/j.neucom.2013.03.040
  • Z. Wang, and L. Huang, Global stability analysis for delayed complex-valued BAM neural networks. Neurocomputing 173 (2016), pp. 2083–2089. doi: 10.1016/j.neucom.2015.09.086
  • H.G. Zhang, Z.W. Liu, G.B. Huang, and Z.S. Wang, Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE T. Neural. Networ. 21 (2009), pp. 91–106. doi: 10.1109/TNN.2009.2034742
  • Z. Zhang, K. Liu, and Y. Yang, New LMI-based condition on global asymptotic stability concerning BAM neural networks of neutral type. Neurocomputing 81 (2012), pp. 24–32. doi: 10.1016/j.neucom.2011.10.006
  • H.G. Zhang, T.D. Ma, G.B. Huang, and Z.L. Wang, Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE T. Syst. Man. Cy-s 40 (2009), pp. 831–844. doi: 10.1109/TSMCB.2009.2030506
  • Z. Zhao, and J. Jian, Attracting and quasi-invariant sets for BAM neural networks of neutral-type with time-varying and infinite distributed delays. Neurocomputing 140 (2014), pp. 265–272. doi: 10.1016/j.neucom.2014.03.015
  • H.G. Zhang, F.S. Yang, X.D. Liu, and Q.L. Zhang, Stability analysis for neural networks with time-varying delay based on quadratic convex combination. IEEE T. Neur. Net. Lear 24 (2013), pp. 513–521. doi: 10.1109/TNNLS.2012.2236571
  • H. Zhou, Z.F. Zhou, and W. Jiang, Almost periodic solutions for neutral type BAM neural networks with distributed leakage delays on time scales. Neurocomputing 157 (2015), pp. 223–230. doi: 10.1016/j.neucom.2015.01.013

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.