Robust synchronisation control of discontinuous CGNNs with time-varying delays

References

• Abdujelil, A., Jiang, H. J., & Hu, C. (2017). General decay synchronization of memristor-based Cohen-Grossberg neural networks with mixed time-delays and discontinuous activations. Journal of the Franklin Institute, 354, 7028–7052. doi: 10.1016/j.jfranklin.2017.08.013
   Web of Science ®Google Scholar
• Abdurahman, A., Jiang, H., & Teng, Z. (2015). Finite-time synchronization for memristor-based neural networks with time-varying delays. Neural Networks, 69, 20–28. doi: 10.1016/j.neunet.2015.04.015
   PubMed Web of Science ®Google Scholar
• Arik, S., & Orman, Z. (2005). Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Physics Letters A, 341, 410–421. doi: 10.1016/j.physleta.2005.04.095
   Web of Science ®Google Scholar
• Bacciotti, A., & Ceragioli, F. (1999). Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. ESAIM: Control, Optimisation and Calculus of Variations, 4, 361–376.
   Google Scholar
• Bao, H., Park, J. H., & Cao, J. (2015). Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays. Applied Mathematics and Computation, 270, 543–556. doi: 10.1016/j.amc.2015.08.064
   Web of Science ®Google Scholar
• Cai, Z. W., Huang, L. H., Guo, Z. Y., & Chen, X. Y. (2012). On the periodic dynamics of a class of time-varying delayed neural networks via differential inclusions. Neural Networks, 33, 97–113. doi: 10.1016/j.neunet.2012.04.009
   PubMed Web of Science ®Google Scholar
• Cai, Z. W., Pan, X., Huang, L. H., & Huang, J. (2018). Finite-time robust synchronization for discontinuous neural networks with mixed-delays and uncertain external perturbations. Neurocomputing, 275, 2624–2634. doi: 10.1016/j.neucom.2017.11.025
   Web of Science ®Google Scholar
• Cao, J., & Li, R. (2017). Fixed-time synchronization of delayed memristor-based recurrent neural networks. Science China Information Sciences, 60(3), 032201.
   Web of Science ®Google Scholar
• Chen, C., Li, L., Peng, H., Kurths, J., & Yang, Y. (2018). Fixed-time synchronization of hybrid coupled networks with time-varying delays. Chaos, Solitons & Fractals, 108, 49–56. doi: 10.1016/j.chaos.2018.01.027
   Web of Science ®Google Scholar
• Cohen, M., & Grossberg, S. (1983). Absolute stability and global pattern formation and parallel memory storage by competitive neural networks. IEEE Transactions on Systems, Man, and Cybernetics, 13, 815–826. doi: 10.1109/TSMC.1983.6313075
   Web of Science ®Google Scholar
• Ding, X., Cao, J. D., Alsaedi, A., Alsaadi, F. E., & Hayat, T. (2017). Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions. Neural Networks, 90, 42–55. doi: 10.1016/j.neunet.2017.03.006
   PubMed Web of Science ®Google Scholar
• Filippov, A. F., & Arscott, F. M. (1988). Differential equations with discontinuous righthand sides: Control systems. Dordrecht: Springer, Kluwer.
   Google Scholar
• Forti, M., Grazzini, M., Nistri, P., & Pancioni, L. (2006). Generalized Lyaponov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Physica D: Nonlinear Phenomena, 214, 88–99. doi: 10.1016/j.physd.2005.12.006
   Web of Science ®Google Scholar
• Forti, M., & Nistri, P. (2003). Global convergence of neural networks with discontinuous neuron activations. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50, 1421–1435. doi: 10.1109/TCSI.2003.818614
   Google Scholar
• Forti, M., Nistri, P., & Papini, D. (2005). Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain. IEEE Transactions on Neural Networks, 16, 1449–1463. doi: 10.1109/TNN.2005.852862
   PubMed Web of Science ®Google Scholar
• Gao, J., Zhu, P., Xiong, W., Cao, J., & Zhang, L. (2016). Asymptotic synchronization for stochastic memristor-based neural networks with noise disturbance. Journal of the Franklin Institute, 353(13), 3271–3289. doi: 10.1016/j.jfranklin.2016.06.002
   Web of Science ®Google Scholar
• Guo, Z., Wang, J., & Yan, Z. (2015). Global exponential synchronization of two memristor-based recurrent neural networks with time delays via static or dynamic coupling. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 45(2), 235–249. doi: 10.1109/TSMC.2014.2343911
   Web of Science ®Google Scholar
• Hu, C., Yu, J., Chen, Z., Jiang, H., & Huang, T. (2017). Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Neural Networks, 89, 74–83. doi: 10.1016/j.neunet.2017.02.001
   PubMed Web of Science ®Google Scholar
• Jiang, H., Cao, J., & Teng, Z. (2006). Dynamics of Cohen-Grossberg neural networks with time-varying delays. Physics Letters A, 354, 414–422. doi: 10.1016/j.physleta.2006.01.078
   Web of Science ®Google Scholar
• Khalil, H. K., & Grizzle, J. W. (2002). Nonlinear systems. Upper Saddle River: Prentice hall.
   Google Scholar
• Klotz, J. R., Kan, Z., Shea, J. M., Pasiliao, E. L., & Dixon, W. E. (2015). Asymptotic synchronization of a leader-follower network of uncertain Euler-Lagrange systems. IEEE Transactions on Control of Network Systems, 2(2), 174–182. doi: 10.1109/TCNS.2014.2378875
   Web of Science ®Google Scholar
• Kong, F. C. (2019). Dynamical behaviors of the generalized hematopoiesis model with discontinuous harvesting terms. International Journal of Biomathematics, 12(01), 1950009. doi: 10.1142/S1793524519500098
   Web of Science ®Google Scholar
• Kong, F. C., Fang, X. W., & Liang, Z. (2018). Dynamic behavior of a class of neutral-type neural networks with discontinuous activations and time-varying delays. Applied Intelligence, 48(12), 4834–4854. doi: 10.1007/s10489-018-1240-0
   Web of Science ®Google Scholar
• Kong, F. C., & Nieto, J. J. (2019). Almost periodic dynamical behaviors of the hematopoiesis model with mixed discontinuous harvesting terms. Discrete & Continuous Dynamical Systems-B, 42, 233–239.
   Google Scholar
• Kong, F. C., Zhu, Q. X., Liang, F., & Nieto, J. J. (2019). Robust fixed-time synchronization of discontinuous Cohen-Grossberg neural networks with mixed time delays. Nonlinear Analysis: Modelling and Control, 24(4), 603–625.
   Web of Science ®Google Scholar
• Li, R., Cao, J., Alsaedi, A., & Alsaadi, F. (2017). Exponential and fixed-time synchronization of Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms. Applied Mathematics and Computation, 313, 37–51. doi: 10.1016/j.amc.2017.05.073
   Web of Science ®Google Scholar
• Li, C., & Yang, S. (2009). Global attractivity in delayed Cohen-Grossberg neural network models. Chaos, Solitons & Fractals, 39, 1975–1987. doi: 10.1016/j.chaos.2007.06.064
   Web of Science ®Google Scholar
• Li, Y. K., Yang, L., & Wu, W. Q. (2011). Anti-periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays on time scales. International Journal of Systems Science, 42, 1127–1132. doi: 10.1080/00207720903308371
   Web of Science ®Google Scholar
• Liu, X., & Cao, J. (2010). Robust state estimations for neural networks with discontinuous activations. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 40(6), 1425–1437. doi: 10.1109/TSMCB.2009.2039478
   PubMed Web of Science ®Google Scholar
• Liu, J., Liu, X., & Xie, W. (2012). Global convergence of neural networks with mixed time-varying delays and discontinuous neuron activations. Information Sciences, 183, 92–105. doi: 10.1016/j.ins.2011.08.021
   Web of Science ®Google Scholar
• Liu, D., Zhu, S., & Sun, K. (2018). Global anti-synchronization of complex-valued memristive neural networks with time delays. IEEE Transactions on Cybernetics, 99, 1–13.
   Google Scholar
• Lou, X. Y., & Cui, B. T. (2006). Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays. Computers & Mathematics with Applications, 52, 897–904. doi: 10.1016/j.camwa.2006.05.013
   Web of Science ®Google Scholar
• Meng, J., & Wang, X. (2007). Robust anti-synchronization of a class of delayed chaotic neural networks. Chaos: An Interdisciplinary Journal of Nonlinear Science, 17, 023113. doi: 10.1063/1.2731306
   PubMed Web of Science ®Google Scholar
• Polyakov, A. (2012). Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57(8), 2106–2110. doi: 10.1109/TAC.2011.2179869
   Web of Science ®Google Scholar
• Qin, J., Gao, H., & Zheng, W. X. (2015). Exponential synchronization of complex networks of linear systems and nonlinear oscillators: A unified analysis. IEEE Transactions on Neural Networks and Learning Systems, 26(3), 510–521. doi: 10.1109/TNNLS.2014.2316245
   PubMed Web of Science ®Google Scholar
• Sakthivel, R., Arunkumar, A., Mathiyalagan, K., & Marshal Anthoni, S. (2011). Robust passivity analysis of fuzzy Cohen-Grossberg BAM neural networks with time-varying delays. Applied Mathematics and Computation, 218, 3799–3809. doi: 10.1016/j.amc.2011.09.024
   Web of Science ®Google Scholar
• Shen, H., Park, J. H., & Wu, Z. G. (2014). Finite-time synchronization control for uncertain Markov jump neural networks with input constraints. Nonlinear Dynamics, 77(4), 1709–1720. doi: 10.1007/s11071-014-1412-3
   Web of Science ®Google Scholar
• Velmurugan, G., Rakkiyappan, R., & Cao, J. (2016). Finite-time synchronization of fractional-order memristor-based neural networks with time delays. Neural Networks, 73, 36–46. doi: 10.1016/j.neunet.2015.09.012
   PubMed Web of Science ®Google Scholar
• Wan, Y., Cao, J., Wen, G., & Yu, W. (2016). Robust fixed-time synchronization of delayed Cohen-Grossberg neural networks. Neural Networks, 73, 86–94. doi: 10.1016/j.neunet.2015.10.009
   PubMed Web of Science ®Google Scholar
• Wang, L. L., & Chen, T. P. (2018). Finite-time anti-synchronization of neural networks with time-varying delays. Neurocomputing, 275, 1595–1600. doi: 10.1016/j.neucom.2017.09.097
   Web of Science ®Google Scholar
• Wu, Y., Cao, J., Li, Q., Alsaedi, A., & Alsaadi, F. E. (2017). Finite-time synchronization of uncertain coupled switched neural networks under asynchronous switching. Neural Networks, 85, 128–139. doi: 10.1016/j.neunet.2016.10.007
   PubMed Web of Science ®Google Scholar
• Wu, A., & Zeng, Z. (2013). Anti-synchronization control of a class of memristive recurrent neural networks. Communications in Nonlinear Science and Numerical Simulation, 18, 373–385. doi: 10.1016/j.cnsns.2012.07.005
   Web of Science ®Google Scholar
• Xie, W. J., & Zhu, Q. X. (2018). Input-to-state stability of stochastic nonlinear fuzzy Cohen-Grossberg neural networks with the event-triggered control. International Journal of Control. doi:10.1080/00207179.2018.1540887.
   Web of Science ®Google Scholar
• Zhang, G., Shen, Y., & Wang, L. (2013). Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays. Neural Networks, 46, 1–8. doi: 10.1016/j.neunet.2013.04.001
   PubMed Web of Science ®Google Scholar
• Zhao, H., & Zhang, Q. (2011). Global impulsive exponential anti-synchronization of delayed chaotic neural networks. Neurocomputing, 74, 563–567. doi: 10.1016/j.neucom.2010.09.016
   Web of Science ®Google Scholar
• Zhu, Q. X., Cao, J. D., & Rakkiyappan, R. (2015). Exponential input-to-state stability of stochastic Cohen-Grossberg neural networks with mixed delays. Nonlinear Dynamics, 79, 1085–1098. doi: 10.1007/s11071-014-1725-2
   Web of Science ®Google Scholar