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Bipartite Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Control

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Abstract

For multi-agent systems with competitive and collaborative relationships, signed graph can more intuitively express the characteristics of their interactive networks. In this paper, the bipartite consensus is investigated for multi-agent systems with structurally balanced signed graph. In order to reduce actuation burden in dynamical network environment, the event-triggering strategy is applied to bipartite consensus protocol for the multi-agent systems. The triggered condition for each agent is designed by using its own information and transmitted information of its neighbors at sampling instant and make the number of triggers of the whole systems be reduced. Based on the distributed event-triggered control, some sufficient conditions are derived to guarantee the leaderless and leader-following bipartite consensus. Finally, some numerical examples are shown to demonstrate the effectiveness of the theoretical results.

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References

  1. Yang X S and Yang Z C, Synchronization of TS fuzzy complex dynamical networks with time-varying impulsive delays and stochastic effects, Fuzzy Set. Syst., 2014, 235: 25–43.

    Article  MathSciNet  Google Scholar 

  2. Zou C Y, Wei X P, Zhang Q, et al., Desired clustering of genetic regulatory networks with mixed delays, Adv. Differ. Equations, 2018, 2018(1): 150–163.

    Article  MathSciNet  Google Scholar 

  3. Yang X S, Cao J D, and Qiu J L, pth moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control, Neural Networks, 2015, 65: 80–91.

    Article  Google Scholar 

  4. Yang X S, Cao J D, Xu C, et al., Finite-time stabilization of switched dynamical networks with quantized couplings via quantized controller, Sci. China Tech. Sci., 2018, 61(2): 299–308.

    Article  Google Scholar 

  5. Zheng Y S, Ma J Y, and Wang L, Consensus of hybrid multi-agent systems, IEEE Trans. Neural Netw. Learning Syst., 2018, 29(4): 1359–1365.

    Article  Google Scholar 

  6. Ma J Y, Ye M J, Zheng Y S, et al., Consensus analysis of hybrid multiagent systems: A game-theoretic approach, Int. J. Robust Nonlinear Control, 2018, 29(6): 1840–1853.

    Article  MathSciNet  Google Scholar 

  7. Olfati-Saber R and Murray R M, Bipartite flock control of multi-agent systems, IEEE Trans. Automat. Control, 2004, 49(9): 1520–1533.

    Article  MathSciNet  Google Scholar 

  8. Fan M C and Zhang H T, Bipartite flock control of multi-agent systems, Proceedings of the 32nd Chinese Control Conference, Xi’an, China, July, 2013.

  9. Yang H J and Ye D, Adaptive fixed-time bipartite tracking consensus control for unknown nonlinear multi-agent systems: An information classification mechanism, Inf. Sci., 2018, 459: 238–254.

    Article  MathSciNet  Google Scholar 

  10. Zhu Y R, Li S L, Ma J Y, et al., Bipartite consensus in networks of agents with antagonistic interactions and quantization, IEEE Trans. Circuits Syst. II, 2018, 65(12): 2012–2016.

    Article  Google Scholar 

  11. Meng D Y, Jia Y M, and Du J P, Nonlinear finite-time bipartite consensus protocol for multiagent systems associated with signed graphs, Int. J. Control, 2015, 88(10): 2074–2085.

    Article  Google Scholar 

  12. Liu J, Li H Y, and Luo J, Bipartite consensus control for coupled harmonic oscillators under a coopetitive network topology, IEEE Access, 2018, 6: 3706–3714.

    Article  Google Scholar 

  13. Meng D Y, Meng Z Y, and Hong Y G, Uniform convergence for signed networks under directed switching topologies, Automatica, 2018, 90: 8–15.

    Article  MathSciNet  Google Scholar 

  14. Wu Y Q, Li C P, Yang A L, et al., Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling, Appl. Math. Comput., 2012, 218(14): 7445–7452.

    MathSciNet  MATH  Google Scholar 

  15. Wu A L and Zeng Z G, Anti-synchronization control of a class of memristive recurrent neural networks, Commun. Nonlinear Sci., 2013, 18(2): 373–385.

    Article  MathSciNet  Google Scholar 

  16. Wu H, Zhang X, Li R, et al., Adaptive anti-synchronization and H∞ anti-synchronization for memristive neural networks with mixed time delays and reaction-diffusion terms, Neurocomputing, 2015, 168(30): 726–740.

    Article  Google Scholar 

  17. Tian L, Ji Z J, Hou T, et al., Bipartite consensus on coopetition networks with time-varying delays, IEEE Access, 2018, 6: 10169–10178.

    Article  Google Scholar 

  18. Ma C Q, Zhao W W, and Zhao Y B, Bipartite linear χ-consensus of double-integrator multi-agent systems with measurement noise, Asian J. Control, 2018, 20(1): 577–584.

    Article  MathSciNet  Google Scholar 

  19. Wen G Q, Wang H, Yu X H, et al., Bipartite tracking consensus of linear multi-agent systems with a dynamic leader, IEEE Trans. Circuits Syst. II, 2018, 65(9): 1204–1208.

    Article  Google Scholar 

  20. Wang D, Ma H W, and Liu D R, Distributed control algorithm for bipartite consensus of the nonlinear time-delayed multi-agent systems with neural networks, Neurocomputing, 2016, 174: 928–936.

    Article  Google Scholar 

  21. Guo X, Lu J Q, Alsaedi A, et al., Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays, Physica A, 2018, 495: 488–497.

    Article  MathSciNet  Google Scholar 

  22. Li E Y, Ma Q, and Zhou G P, Bipartite output consensus for heterogeneous linear multi-agent systems with fully distributed protocol, J. Franklin Inst., 2019, 365: 2870–2884.

    Article  MathSciNet  Google Scholar 

  23. Léchappé V, Moulay E, Plestan F, et al., Discrete predictor-based event-triggered control of networked control systems, Automatica, 2019, 107: 281–588.

    Article  MathSciNet  Google Scholar 

  24. Li Y J, Liu X, and Peng L, An event-triggered fault detection approach in cyber-physical systems with sensor nonlinearities and deception attacks, Electronics, 2018, 7: 168–186.

    Article  Google Scholar 

  25. Yang R H, Zhang H, Feng G, et al., Robust cooperative output regulation of multi-agent systems via adaptive event-triggered control, Automatica, 2019, 102: 129–136.

    Article  MathSciNet  Google Scholar 

  26. Xie D S, Xu S Y, Zhang B Y, et al., Consensus for multi-agent systems with distributed adaptive control and an event-triggered communication strategy, IET Control Theory Appl., 2016, 10(13): 1547–1555.

    Article  MathSciNet  Google Scholar 

  27. Hu W F, Liu L, and Feng G, Consensus of linear multi-agent systems by distributed event-triggered strategy, IEEE Trans. Cybernetics, 2016, 46(1): 148–157.

    Article  Google Scholar 

  28. Hu W F, Liu L, and Feng G, Leader-following consensus of linear multi-agent systems by distributed event-triggered control, Proceedings of the 34th Chinese Control Conference, Hangzhou, China, July, 2015.

  29. Li J and Chen X, Event-triggered bipartite consensus for multi-agent systems associated with signed graphs, Proceedings of the 33rd Youth Academic Annual Conference of Chinese Association of Automation, Nanjing, China, May, 2018.

  30. Hu J P, Wu Y Z, Liu L, et al., Adaptive bipartite consensus control of high-order multiagent systems on coopetition networks: Adaptive bipartite consensus control, Int. J. Robust Nonlinear Control, 2018, 28(345): 2868–2885.

    Article  Google Scholar 

  31. Wang X L, Su H S, Wang X F, et al., Second-order consensus of multi-agent systems via periodically intermittent pinning control, Circuits Syst. Signal Process, 2016, 35: 2413–2431.

    Article  MathSciNet  Google Scholar 

  32. Xu C, Wu B L, Cao X B, et al., Distributed adaptive event-triggered control for attitude synchronization of multiple spacecraft, Nonlinear Dyn., 2019, 95(4): 2625–2638.

    Article  Google Scholar 

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Authors and Affiliations

  1. Research Center of Engineering Applications for IOT, Jiangnan University, Wuxi, 214122, China

    Ruitian Yang, Li Peng & Fengzeng Zhu

  2. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Science, Jiangnan University, Wuxi, 214122, China

    Yongqing Yang

Authors
  1. Ruitian Yang
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  2. Li Peng
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  3. Yongqing Yang
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  4. Fengzeng Zhu
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Corresponding author

Correspondence to Li Peng.

Additional information

This research was supported by the State Key Research Project under Grant No. 2018YFD0400902, the National Science Foundation under Grant No. 61873112, the Education Ministry and China Mobile Science Research Foundation under Grant No. MCM20170204 and Jiangsu Key Construction Laboratory of IoT Application Technology under Grant Nos. 190449, 190450.

This paper was recommended for publication by Editor JIAYingmin.

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Cite this article

Yang, R., Peng, L., Yang, Y. et al. Bipartite Consensus of Linear Multi-Agent Systems by Distributed Event-Triggered Control. J Syst Sci Complex 34, 955–974 (2021). https://doi.org/10.1007/s11424-020-9293-7

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  • DOI: https://doi.org/10.1007/s11424-020-9293-7

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