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A New Unified Control Approach for Finite-/Fixed-Time Synchronisation of Multi-weighted Dynamical Networks

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Neural Computing for Advanced Applications (NCAA 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1638))

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Abstract

This paper aims to propose a unified control scheme to explore the problems of finite-/fixed-time (FTT/FXT) synchronisation in multi-weighted dynamical networks (MWDNs). Firstly, a new unified FTT/FXT stability results is assessed for nonlinear dynamical systems, wherein a more accurate approximation of the settling time is acquired. Secondly, a novel feedback controller is designed for a class of MWDNs and a unified sufficient condition is obtained for FTT/FXT synchronisation of the considered MWDNs. It is shown that the conversion of FTT/FXT synchronisation can be achieved by adjusting only one control parameter, indicating the superiority of the control protocol in practical applications. Moreover, the designed unified control scheme excludes signum function, which can avoid the chattering phenomena in the synchronisation process. Finally, a numerical example is presented to authenticate the theoretical results.

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References

  1. Qiu, S., Huang, Y., Ren, S.: Finite-time synchronization of multi-weighted complex dynamical networks with and without coupling delay. Neurocomputing 275, 1250–1260 (2018)

    Article  Google Scholar 

  2. Mwanandiye, E.S., Wu, B., Jia, Q.: Synchronization of delayed dynamical networks with multi-links via intermittent pinning control. Neural Comput. Appl. 32, 11277–11284 (2020)

    Article  Google Scholar 

  3. Xu, Y., Wu, X., Mao, B., Lü, J., **e, C.: Finite-time intra-layer and inter-layer quasi-synchronization of two-layer multi-weighted networks. IEEE Trans. Circuits Syst. I: Regular Papers 4(68), 1589–1598 (2021)

    Google Scholar 

  4. Katchinskiy, N., Goez, H., Dutta, I., Godbout, R., Elezzabi, A.: Novel method for neuronal nanosurgical connection. Sci. Rep. 6(1), 20529 (2016)

    Google Scholar 

  5. Cai, S., He, Q., Hao, J., Liu, Z.: Exponential synchronization of complex networks with nonidentical time-delayed dynamical nodes. Phys. Lett. A 374, 2539–2550 (2010)

    Article  MathSciNet  Google Scholar 

  6. Zhou, P., Cai, S., Shen, J., Liu, Z.: Adaptive exponential cluster synchronization in colored community networks via aperiodically intermittent pinning control. Nonlinear Dyn. 92, 905–921 (2018)

    Article  Google Scholar 

  7. Zhou, P., Shi, J., Cai, S.: Pinning synchronization of directed networks with delayed complex-valued dynamical nodes and mixed coupling via intermittent control. J. Frankl. Inst. 357, 12840–12869 (2020)

    Article  MathSciNet  Google Scholar 

  8. Shen, Y., Shi, J., Cai, S.: Exponential synchronization of directed bipartite networks with node delays and hybrid coupling via impulsive pinning control. Neurocomputing 453, 209–222 (2021)

    Article  Google Scholar 

  9. Cai, S., Hou, M.: Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control. Chaos Solitons Fract. 146, 110901 (2021)

    Article  MathSciNet  Google Scholar 

  10. Jia, Q., Bram, A.K., Han, Z.: Synchronization of drive-response networks with event-based pinning control. Neural Comput. Appl. 33, 8649–8658 (2021)

    Article  Google Scholar 

  11. Sun, M., Lyu, D., Jia, Q.: Event-triggered leader-following synchronization of delayed dynamical networks with intermittent coupling. Neural Comput. Appl. 34, 6163–6170 (2022)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  13. Polyakov, A.: Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans. Autom. Control 57(8), 2106–2110 (2012)

    Article  MathSciNet  Google Scholar 

  14. Lu, W., Liu, X., Chen, T.: A note on finite-time and fixed-time stability. Neural Netw. 81, 11–15 (2016)

    Article  Google Scholar 

  15. Liu, X., Chen, T.: Finite-time and fixed-time cluster synchronization with or without pinning control. IEEE Trans. Cybern. 48(1), 240–252 (2018)

    Article  Google Scholar 

  16. Cai, S., Zhou, F., He. Q.: Fixed-time cluster lag synchronization in directed heterogeneous community networks, Phys. A 525, 128–142 (2019)

    Google Scholar 

  17. Xu, Y., Li, Y., Li, W.: Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights. Commun. Nonlinear Sci. Numer. Simulat. 85, 105239 (2020)

    Article  MathSciNet  Google Scholar 

  18. Ji, G., Hu, C., Yu, J., Jiang, H.: Finite-time and fixed-time synchronization of discontinuous complex networks: a unified control framework design. J. Frankl. Inst. 355, 4665–4685 (2018)

    Article  MathSciNet  Google Scholar 

  19. Liu, X., Ho, D., Song, Q., Xu, W.: Finite/fixed-time pinning synchronization of complex networks with stochastic disturbances. IEEE Trans. Cybern. 49(6), 2398–2403 (2019)

    Article  Google Scholar 

  20. Xu, Y., Wu, X., Mao, B., **e, C.: A unified finite-/fixed-time synchronization approach to multi-layer networks. IEEE Trans. Circuits Syst. II Exp. Briefs 1(68), 311–315 (2021)

    Article  Google Scholar 

  21. Hu, C., He, H., Jiang, H.: Fixed/preassigned-time synchronization of complex networks via improving fixed-time stability. IEEE Trans. Cybern. 51(6), 2882–2892 (2021)

    Article  Google Scholar 

  22. Yang, X., Lu, J.: Finite-time synchronization of coupled networks with markovian topology and impulsive effects. IEEE Trans. Autom. Control 61(8), 2256–2261 (2016)

    Article  MathSciNet  Google Scholar 

  23. Yang, X., Lam, J., Ho, D., Feng, Z.: Fixed-time synchronization of complex networks with impulsive effects via nonchattering control. IEEE Trans. Autom. Control 62(11), 5511–5521 (2017)

    Article  MathSciNet  Google Scholar 

  24. Zhang, W., Yang, X., Li, C.: Fixed-time stochastic synchronization of complex networks via continuous control. IEEE Trans. Cybern. 49(8), 3099–3104 (2018)

    Article  Google Scholar 

  25. Xu, Y., Wu, X., Li, N., Liu, L., **e, C., Li, C.: Fixed-time synchronization of complex networks with a simpler nonchattering controller. IEEE Trans. Circuits Syst. II Express Briefs 67(4), 700–704 (2020)

    Article  Google Scholar 

  26. Jiang, S., Qi, Y., Cai, S., Lu, X.: Light fixed-time control for cluster synchronization of complex networks. Neurocomputing 424, 63–70 (2021)

    Article  Google Scholar 

  27. Hu, C., Jiang, H.: Special functions-based fixed-time estimation and stabilization for dynamic systems. IEEE Trans. Syst. Man Cybern. Syst. 52(5), 3251–3262 (2022)

    Article  Google Scholar 

  28. Cai, S., Zhou, P., Liu, Z.: Pinning synchronization of hybrid-coupled directed delayed dynamical network via intermittent control. Choas 24, 033102 (2014)

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China

    **yao Shi & Shuiming Cai

  2. Institute of Applied System Analysis, Jiangsu University, Zhenjiang, 212013, China

    Qiang Jia

Authors
  1. **yao Shi
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  2. Shuiming Cai
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  3. Qiang Jia
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Corresponding author

Correspondence to Shuiming Cai .

Editor information

Editors and Affiliations

  1. Harbin Institute of Technology, Shenzhen, China

    Haijun Zhang

  2. University of **an, **an, China

    Yuehui Chen

  3. Shenzhen University, Shenzhen, China

    **anghua Chu

  4. Hefei University of Technology, Hefei, China

    Zhao Zhang

  5. South China Normal University, Guangzhou, China

    Tianyong Hao

  6. Chongqing University, Chongqing, China

    Zhou Wu

  7. Western University, London, ON, Canada

    Yimin Yang

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Shi, J., Cai, S., Jia, Q. (2022). A New Unified Control Approach for Finite-/Fixed-Time Synchronisation of Multi-weighted Dynamical Networks. In: Zhang, H., et al. Neural Computing for Advanced Applications. NCAA 2022. Communications in Computer and Information Science, vol 1638. Springer, Singapore. https://doi.org/10.1007/978-981-19-6135-9_17

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  • DOI: https://doi.org/10.1007/978-981-19-6135-9_17

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-6134-2

  • Online ISBN: 978-981-19-6135-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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