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符号图时变延迟神经网络的有限和固定时间控制
Finite/Fixed-Time Controls of Time-Varying Delayed Neural Networks in a Signed Graph

DOI: 10.12677/DSC.2024.131003, PP. 21-32

Keywords: 有限和固定时间控制,时变延迟,符号图,神经网络
Finite/Fixed-Time Controls
, Time-Varying Delayed, Signed Graph, Neural Networks

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Abstract:

本文探究了在符号图中具有时变延迟神经网络有限和固定时间控制问题。通过设计有限和固定时间的控制器,利用在符号图中的矩阵M、稳定性理论和其它的一些不等式,得到时变延迟神经网络实现有限和固定时间的二分同步的充分条件以及达到同步的估计停时。最后,给出了一个数值例子验证了所设计有限和固定时间控制器的有效性。
In this paper, we explore the finite and fixed time controls of neural networks with time-varying delay in signed graphs. By designing finite and fixed time controllers and using matrix M defined in signed graph, stability theory and some other inequalities, the sufficient conditions and estimated time to achieve bipartite synchronization in finite and fixed time are obtained. Finally, a numerical example is given to verify the effectiveness of the designed finite and fixed time controllers.

References

[1]  Zhang, J., Zhang, A., Cao, J., et al. (2020) Adaptive Outer Synchronization between Two Delayed Oscillator Networks with Cross Couplings. Science China Information Sciences, 63, Article Number 209204.
https://doi.org/10.1007/s11432-018-9843-x
[2]  He, S., Dai, S. and Dong, C. (2022) Adaptive Synchronization Control of Uncertain Multiple USVs with Prescribed Performance and Preserved Connectivity. Science China Information Sciences, 65, Article Number 199201.
https://doi.org/10.1007/s11432-020-3174-7
[3]  Yu, J., Hu, C., Jiang, H., et al. (2014) Projective Synchronization for Fractional Neural Networks. Neural Networks, 49, 87-95.
https://doi.org/10.1016/j.neunet.2013.10.002
[4]  Zhang, W., Li, C., Huang, T., et al. (2015) Synchronization of Neural Networks with Stochastic Perturbation via Aperiodically Intermittent Control. Neural Networks, 71, 105-111.
https://doi.org/10.1016/j.neunet.2015.08.002
[5]  Zhu, S. and Bao, H. (2022) Event-Triggered Synchronization of Coupled Memristive Neural Networks. Applied Mathematics and Computation, 415, Article Number 126715.
https://doi.org/10.1016/j.amc.2021.126715
[6]  Li, J., Jiang, H., Hu, C., et al. (2019) Finite/Fixed-Time Synchronization Control of Coupled Memristive Neural Networks. Journal of the Franklin Institute, 356, 9928-9952.
https://doi.org/10.1016/j.jfranklin.2019.09.015
[7]  Chen, C., Li, L., Peng, H., et al. (2020) A New Fixed-Time Stability Theorem and Its Application to the Fixed-Time Synchronization of Neural Networks. Neural Networks, 123, 412-419.
https://doi.org/10.1016/j.neunet.2019.12.028
[8]  Liu, X., Cao, J., Yu, W., et al. (2015) Nonsmooth Finite-Time Synchronization of Switched Coupled Neural Networks. IEEE Transactions on Cybernetics, 46, 2360-2371.
https://doi.org/10.1109/TCYB.2015.2477366
[9]  Sun, W., Guo, W., Li, B., et al. (2023) Finite/Fixed-Time Controls of Neural Networks in a Signed Graph. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 31 October 2023, 1-10.
https://doi.org/10.1109/TSMC.2023.3323352
[10]  Wu, H., Wang, X., Liu, X., et al. (2020) Finite/Fixed-Time Bipartite Synchronization of Coupled Delayed Neural Networks under a Unified Discontinuous Controller. Neural Processing Letters, 52, 1359-1376.
https://doi.org/10.1007/s11063-020-10308-6
[11]  Hu, D., Tan, J., Shi, K., et al. (2022) Switching Synchronization of Reaction-Diffusion Neural Networks with Time- Varying Delays. Chaos, Solitons & Fractals, 155, Article Number 111766.
https://doi.org/10.1016/j.chaos.2021.111766
[12]  Zhang, H., Zhou, Y. and Zeng, Z. (2022) Master-Slave Synchronization of Neural Networks with Unbounded Delays via Adaptive Method. IEEE Transactions on Cybernetics, 53, 3277-3287.
https://doi.org/10.1109/TCYB.2022.3168090
[13]  He, W., Qian, F., Lam, J., et al. (2015) Quasi-Synchronization of Heterogeneous Dynamic Networks via Distributed Impulsive Control: Error Estimation, Optimization and Design. Automatica, 62, 249-262.
https://doi.org/10.1016/j.automatica.2015.09.028
[14]  Guo, W., He, W., Sun, W., et al. (2022) Robust Finite-Time and Fixed-Time Bipartite Consensus Problems for Multi- Agent Systems via Discontinuous Protocol. International Journal of Control, 95, 380-389.
https://doi.org/10.1080/00207179.2020.1797177
[15]  Meng, D., Du, M. and Jia, Y. (2016) Interval Bipartite Consensus of Networked Agents Associated with Signed Digraphs. IEEE Transactions on Automatic Control, 61, 3755-3770.
https://doi.org/10.1109/TAC.2016.2528539
[16]  Wu, C.W. and 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, 430-447.
https://doi.org/10.1109/81.404047
[17]  Bhat, S.P. and Bernstein, D.S. (2000) Finite-Time Stability of Continuous Autonomous Systems. SIAM Journal on Control and Optimization, 38, 751-766.
https://doi.org/10.1137/S0363012997321358

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