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Research Articles

Event-triggered boundary feedback synchronisation control of nonlinear coupling reaction–diffusion neural networks

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Pages 1210-1222 | Received 22 Jan 2022, Accepted 04 Nov 2022, Published online: 29 Apr 2023

References

  • Åarzén, K. (1999). A simple event-based PID controller. In Proceedings of IFAC world congress (pp. 8687–8692). Elsevier.
  • Cao, Y. Y., Cao, Y. T., Guo, Z. Y., Huang, T. W., & Wen, S. P. (2020). Global exponential synchronization of delayed memristive neural networks with reaction–diffusion terms. Neural Networks, 123, 70–81. https://doi.org/10.1016/j.neunet.2019.11.008
  • Chai, X. L., Gan, Z. H., & Shi, C. X. (2013). Impulsive synchronization and adaptive-impulsive synchronization of a novel financial hyperchaotic system. Mathematical Problems in Engineering, 2013(751616), 1–10. https://doi.org/10.1155/2013/751616
  • Chen, M., Ge, S. Z. S., & How, B. V. E. (2010). Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Transactions on Neural Networks, 21(5), 796–812. https://doi.org/10.1109/TNN.2010.2042611
  • Chen, W. H., Luo, S. X., & Zheng, W. X. (2016). Impulsive synchronization of reaction–diffusion neural networks with mixed delays and its application to image encryption. IEEE Transactions on Neural Networks and Learning Systems, 27(12), 2696–2710. https://doi.org/10.1109/TNNLS.2015.2512849
  • Cichocki, A., & Unbehauen, R. (1992). Neural networks for optimization and signal processing. John Wiley & Sons.
  • Dong, T., Wang, A. J., Zhu, H. Y., & Liao, X. F. (2018). Event-triggered synchronization for reaction–diffusion complex networks via random sampling. Physica, A: Statistical Mechanics and its Applications, 495, 454–462. https://doi.org/10.1016/j.physa.2017.12.008
  • Dorf, R., Farren, M., & Phillips, C. (1962). Adaptive sampling frequency for sampled-data control systems. IRE Transactions on Automatic Control, 7(1), 38–47. https://doi.org/10.1109/TAC.1962.1105415
  • Gao, Y. F., Du, X., Ma, Y. H., & Sun, X. M. (2018). Stabilization of nonlinear systems using event-triggered controllers with dwell times. Information Sciences, 457, 156–165. https://doi.org/10.1016/j.ins.2018.04.002
  • Ge, S. Z. S., Hong, F., & Lee, T. H. (2004). Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 34(1), 499–516. https://doi.org/10.1109/TSMCB.2003.817055
  • Hardy, G., Littlewood, J., & Polya, G. (1952). Inequalities. Cambridge University Press.
  • Hu, C., Jiang, H. J., & Teng, Z. D. (2010). Impulsive control and synchronization for delayed neural networks with reaction–diffusion terms. IEEE Transactions on Neural Networks, 21(1), 67–81. https://doi.org/10.1109/TNN.2009.2034318
  • Jiang, Y. C., & Jiang, J. C. (2017). Diffusion in social networks: A multiagent perspective. IEEE Transactions on Systems Man and Cybernetics Systems, 45(2), 198–213. https://doi.org/10.1109/TSMC.2014.2339198
  • Liang, C., Zhang, Q., Ma, J. F., & Li, K. M. (2019). Research on neural network chaotic encryption algorithm in wireless network security communication. EURASIP Journal on Wireless Communications and Networking, 2019(151), 1–10. https://doi.org/10.1186/s13638-019-1476-3
  • Lin, S., Huang, Y., & Ren, S. (2020). Event-triggered passivity and synchronization of delayed multiple-weighted coupled reaction–diffusion neural networks with non-identical nodes. Neural Networks, (121), 259–275. https://doi.org/10.1016/j.neunet.2019.08.031
  • Liu, X. W., & Chen, T. P. (2015). Synchronization of linearly coupled networks with delays via aperiodically intermittent pinning control. IEEE Transactions on Neural Networks and Learning Systems, 26(10), 2396–2407. https://doi.org/10.1109/TNNLS.2014.2383174
  • Liu, Y. R., Wang, Z. D., & Liu, X. H. (2006). Global exponential stability of generalized recurrent neural networks with discrete and distributed delays. Neural Networks, 19(5), 667–675. https://doi.org/10.1016/j.neunet.2005.03.015
  • Losada, G. (2016). Contributions to networked and event-triggered control of linear systems. Springer.
  • Lu, B. L., Jiang, H. J., Hu, C., Abdurahman, A., & Liu, M. (2021). H∞ output synchronization of directed coupled reaction–diffusion neural networks via event-triggered quantized control. Journal of the Franklin Institute, 358(8), 4458–4482. https://doi.org/10.1016/j.jfranklin.2021.03.007
  • Luo, Y. P., Yao, Y. J., Cheng, Z., Xiao, X., & Liu, H. (2021). Event-triggered control for coupled reaction–diffusion complex network systems with finite-time synchronization. Physica A: Statistical Mechanics and its Applications, 562(125219), 1–16. https://doi.org/10.1016/j.physa.2020.125219
  • Paolo, A., Luigi, F., & Marco, B. (1999). Reaction–diffusion CNN algorithms to generate and control artificial locomotion. IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications, 46(2), 253–260. https://doi.org/10.1109/81.747195
  • Selivanov, A., & Fridman, E. (2016). Distributed event-triggered control of diffusion semilinear PDEs. Automatica, 68, 344–351. https://doi.org/10.1016/j.automatica.2016.02.006
  • Sinopoli, B., Sharp, C., Schenato, L., Schaffert, S., & Sastry, S. S. (2003). Distributed control applications within sensor networks. Proceedings of the IEEE, 91(8), 1235–1246. https://doi.org/10.1109/JPROC.2003.814926
  • Tucsnak, M., & Weiss, G. (2009). Observation and control for operator semigroups. Springer Science and Business Media.
  • Wang, A. J., Liao, X. F., & Tao, D. (2018). Finite-time event-triggered synchronization for reaction–diffusion complex networks. Physica A: Statistical Mechanics and its Applications, 509, 111–120. https://doi.org/10.1016/j.physa.2018.05.144
  • Wang, J. L., Wu, H. N., Huang, T. W., & Ren, S. Y. (2015). Passivity and synchronization of linearly coupled reaction-Diffusion neural networks with adaptive coupling. IEEE Transactions on Cybernetics, 45(9), 1942–1952. https://doi.org/10.1109/TCYB.2014.2362655
  • Wang, J. L., Zhang, X. X., Wu, H. N., Huang, T. W., & Wang, Q. (2019). Finite-time passivity and synchronization of coupled reaction-Diffusion neural networks with multiple weights. IEEE Transactions on Cybernetics, 49(9), 3385–3397. https://doi.org/10.1109/TCYB.6221036
  • Wang, J. W., Yang, C. D., & Sun, C. Y. (2014). Exponential synchronization for a class of networked linear parabolic PDE systems via boundary control. In 2014 international joint conference on neural networks (pp. 3981–3986). IEEE.
  • Weiss, G. (1989). Admissibility of unbounded control operators. SIAM Journal on Control and Optimization, 27(3), 527–545. https://doi.org/10.1137/0327028
  • Wu, C. W., & Chua, L. O. (1995). Synchronization in an array of linearly coupled dynamical systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 42(8), 430–447. https://doi.org/10.1109/81.404047
  • Yu, W. W., Chen, G. R., & Lü, J. H. (2009). On pinning synchronization of complex dynamical networks. Automatica, 45(2), 429–435. https://doi.org/10.1016/j.automatica.2008.07.016
  • Zhang, H., Feng, G., Yan, H. C., & Chen, Q. J. (2013). Observer-based output feedback event-triggered control for consensus of multi-agent systems. IEEE Transactions on Industrial Electronics, 61(9), 4885–4894. https://doi.org/10.1109/TIE.2013.2290757
  • Zou, L., Wang, Z. D., Gao, H. J., & Liu, X. H. (2015). Event-triggered state estimation for complex networks with mixed time delays via sampled data information: The continuous-time case. IEEE Transactions on Cybernetics, 45(12), 2804–2815. https://doi.org/10.1109/TCYB.2014.2386781

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