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Finite-Time Bipartite Synchronization of Networked Systems with Time-Varying and Random Coupling Delays

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Abstract

This literature mainly concerns finite-time bipartite synchronization (FTBS) of networked systems (NSs) with time-varying and random coupling delays based on signed graphs. Via Bernoulli random variables, NSs will switch between the delayed coupled systems and coupled systems without time delays. Two kinds of quantized controllers are constructed to realize the goal of synchronization. Different from many existing finite-time stability results established by the classical finite-time stability theorem, the results of this paper are obtained directly based on 1-norm analytical method. Numerical examples are employed to verify the presented results.

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Data Availability Statement

Data sharing is not applicable to this article, as no datasets were generated or analyzed during the current study.

References

  1. C. Altafini, Consensus problems on networks with antagonistic interactions. IEEE Trans. Autom. Contr. 58(4), 935–946 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  2. S.P. Bhat, D.S. Bernstein, Finite-time stability of homogeneous systems. Proc. Amer. Contr. Conf. 4, 2513–2514 (1997)

    Article  Google Scholar 

  3. L. Cao, Y. Pan, H. Liang, T. Huang, Observer-based dynamic event-triggered control for multiagent systems with time-varying delay. IEEE Trans. Cybern. 53(5), 3376–3387 (2023)

    Article  Google Scholar 

  4. Y. Chen, L. Yang, A. Xue, Finite-time passivity of stochastic Markov jump neural networks with random distributed delays and sensor nonlinearities. Circuits Syst. Signal Process. 38, 2422–2444 (2019)

    Article  Google Scholar 

  5. G. Facchetti, G. Iacono, C. Altafini, Computing global structural balance in large-scale signed social networks. P. Natl. Acad. Sci. 108(52), 20953–20958 (2011)

    Article  Google Scholar 

  6. M. Forti, M. Grazzini, P. Nistri, L. Pancioni, Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Physica D 214(1), 88–99 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  7. S. Gong, Z. Guo, S. Wen, T. Huang, Finite-time and fixed-time synchronization of coupled memristive neural networks with time delay. IEEE Trans. Cybern. 51(6), 2944–2955 (2021)

    Article  Google Scholar 

  8. V.T. Haimo, Finite-time controllers. SIAM J. Control Optim. 24(4), 760–770 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  9. L. Kocarev, U. Parlitz, General approach for chaotic synchronization with applications to communication. Phys. Rev. Lett. 74(25), 5028–5031 (1995)

    Article  Google Scholar 

  10. F. Li, H. Shen, Finite-time \({\cal{H} }_{\infty }\) synchronization control for semi-Markov jump delayed neural networks with randomly occurring uncertainties. Neurocomputing 166, 447–454 (2015)

    Article  Google Scholar 

  11. T. Liang, D. Yang, L. Lei, W. Zhang, J. Pan, Preassigned-time bipartite synchronization of complex networks with quantized couplings and stochastic perturbations. Math. Comput. Simul. 202, 559–570 (2022)

  12. H. Liang, L. Chen, Y. Pan, H. Lam, Fuzzy-based robust precision consensus tracking for uncertain networked systems with cooperative-antagonistic interactions. IEEE Trans. Fuzzy Syst. 31(4), 1362–1376 (2023)

    Article  Google Scholar 

  13. R.E. Mirollo, S.H. Strogatz, Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math. 50(6), 1645–1662 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  14. Y. Ren, H. Jiang, J. Li, B. Lu, Finite-time synchronization of stochastic complex networks with random coupling delay via quantized aperiodically intermittent control. Neurocomputing 420, 337–348 (2021)

    Article  Google Scholar 

  15. Q. Song, G. Lu, G. Wen, J. Cao, F. Liu, Bipartite synchronization and convergence analysis for network of harmonic oscillator systems with signed graph and time delay. IEEE Trans. Circuits Syst. 66(7), 2723–2734 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  16. Y. Tang, Terminal sliding mode control for rigid robots. Automatica 34(1), 51–56 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  17. R. Tang, H. Su, Y. Zou, X. Yang, Finite-time synchronization of Markovian coupled neural networks with delays via intermittent quantized control: linear programming approach. IEEE Trans. Neural Netw. Learn. Syst. 33(10), 5268–5278 (2022)

    Article  MathSciNet  Google Scholar 

  18. C. Xu, X. Yang, J. Lu, J. Feng, F.E. Alsaadi, T. Hayat, Finte-time synchronization of networks via quantized intermittent pinning control. IEEE Trans. Cybern. 48(10), 3021–3027 (2017)

    Article  Google Scholar 

  19. Y. Xu, R. Lu, P. Shi, J. Tao, S. Xie, Robust estimation for neural networks with randomly occurring distributed delays and Markovian jump coupling. IEEE Trans. Neural Netw. Learn. Syst. 29(4), 845–855 (2018)

    Article  MathSciNet  Google Scholar 

  20. X. Yang, D.W.C. Ho, J. Lu, Q. Song, Finite-time cluster synchronization of T-S fuzzy complex networks with discontinuous subsystems and random coupling delays. IEEE Trans. Fuzzy Syst. 23(6), 2302–2316 (2015)

    Article  Google Scholar 

  21. X. Yang, Q. Song, J. Liang, B. He, Finite-time synchronization of coupled discontinuous neural networks with mixed delays and nonidentical perturbations. J. Franklin inst. 352(10), 4382–4406 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  22. X. Yang, J. Cao, Q. Song, C. Xu, J. Feng, Finite-time synchronization of couoled Markovian discontinuous neural networks with mixed delays. Circuits Syst. Signal Process. 36, 1860–1889 (2017)

    Article  MATH  Google Scholar 

  23. X. Yang, X. Li, J. Lu, Z. Cheng, Synchronization of time-delayed complex networks with switching topology via hybrid actuator fault and impulsive effects control. IEEE Trans. Cybern. 50(9), 4043–4052 (2020)

    Article  Google Scholar 

  24. D. Yang, X. Li, S. Song, Finite-time synchronization for delayed complex dynamical networks with synchronizing or desynchronizing impulses. IEEE Trans. Neural Netw. Learn. Syst. 33(2), 736–746 (2022)

    Article  MathSciNet  Google Scholar 

  25. Z. Zhang, J. Cao, Finite-time synchronization for fuzzy inertial neural networks by maximum value approach. IEEE Trans. Fuzzy Syst. 30(5), 1436–1446 (2022)

    Article  Google Scholar 

  26. W. Zhang, X. Yang, S. Yang, A. Alsaedi, Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs. Math. Comput. Simul. 188, 319–329 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  27. B. Zheng, C. Hu, J. Yu, H. Jiang, Finite-time synchronization of fully complex-valued neural networks with fractional-order. Neurocomputing 373(15), 70–80 (2020)

    Article  Google Scholar 

  28. S. Zuo, F. Lewis, Y. Song, A. Davoudi, Bipartite output synchronization of heterogeneous multiagent systems on signed digraphs. Int. J. Robust Nonlin. Control 28(13), 4017–4031 (2018)

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work was jointly supported by the Science and Technology Research Program of Chongqing Municipal Education Commission under Grant No. KJQN202000510, the National Natural Science Foundation of China (NSFC) under Grant No. 62003065, Chongqing University Innovation Research Group Funding under Grant No. CXQT20015,Foundation Project of Chongqing Normal University, Chongqing, China (No. 20XLB003).

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  1. College of Computer and Information Science, Chongqing Normal University, Chongqing, 401331, China

    Degang Yang, Li Lei & Wanli Zhang

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  1. Degang Yang
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  2. Li Lei
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Correspondence to Wanli Zhang.

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Yang, D., Lei, L. & Zhang, W. Finite-Time Bipartite Synchronization of Networked Systems with Time-Varying and Random Coupling Delays. Circuits Syst Signal Process 42, 6544–6563 (2023). https://doi.org/10.1007/s00034-023-02434-y

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