Skip to main content
SpringerLink
Log in

Event-based bipartite multi-agent consensus with partial information transmission and communication delays under antagonistic interactions

  • Research Paper
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

This paper mainly concentrates on the event-based bipartite consensus (BCs) in multi-agent networks (MANs) with partial information transmission (PIT) and communication delays. Two types of communication constraints, i.e., time delays and partial information transmission, make the BCs problem in MANs more challenging and practical. A distributed event-triggered scheme (ETS) is proposed for the considered MANs. Based on the proposed ETS, it is observed that the addressed MANs reaches BCs provided that the network is balanced. A numerical example is presented to demonstrate the effectiveness of the theoretical results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Olfati-Saber R, Murray R M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Automat Contr, 2004, 49: 1520–1533

    Article  MathSciNet  Google Scholar 

  2. Lin Z L. Control design in the presence of actuator saturation: from individual systems to multi-agent systems. Sci China Inf Sci, 2019, 62: 3

    Google Scholar 

  3. Wang L, Xiao F. A new approach to consensus problems in discrete-time multiagent systems with time-delays. Sci China Ser F-Inf Sci, 2007, 50: 625–635

    Article  MathSciNet  Google Scholar 

  4. Meng H F, Chen Z Y, Middleton R. Consensus of multiagents in switching networks using input-to-state stability of switched systems. IEEE Trans Automat Contr, 2018, 63: 3964–3971

    Article  MathSciNet  Google Scholar 

  5. Lu J Q, Ho D W C, Kurths J. Consensus over directed static networks with arbitrary finite communication delays. Phys Rev E, 2009, 80: 3

    Google Scholar 

  6. Wasserman S, Faust K. Social Network Analysis: Methods and Applications. Cambridge: Cambridge University Press, 1994

    Book  Google Scholar 

  7. Xia W G, Cao M, Johansson K H. Structural balance and opinion separation in trust-mistrust social networks. IEEE Trans Control Netw Syst, 2016, 3: 46–56

    Article  MathSciNet  Google Scholar 

  8. Fan M C, Zhang H T, Wang M. Bipartite flocking for multi-agent systems. Commun Nonlin Sci Numer Simul, 2014, 19: 3313–3322

    Article  MathSciNet  Google Scholar 

  9. Altafini C. Consensus problems on networks with antagonistic interactions. IEEE Trans Automat Contr, 2013, 58: 935–946

    Article  MathSciNet  Google Scholar 

  10. Meng D Y, Du M J, Jia Y M. Interval bipartite consensus of networked agents associated with signed digraphs. IEEE Trans Automat Contr, 2016, 61: 3755–3770

    Article  MathSciNet  Google Scholar 

  11. Sun C, Hu G Q, Xie L H. Controllability of multiagent networks with antagonistic interactions. IEEE Trans Automat Contr, 2017, 62: 5457–5462

    Article  MathSciNet  Google Scholar 

  12. Liu F, Song Q, Wen G H, et al. Bipartite synchronization of Lur’e network under signed digraph. Int J Robust Nonlin Control, 2018, 28: 6087–6105

    Article  MathSciNet  Google Scholar 

  13. Valcher M E, Misra P. On the consensus and bipartite consensus in high-order multi-agent dynamical systems with antagonistic interactions. Syst Control Lett, 2014, 66: 94–103

    Article  MathSciNet  Google Scholar 

  14. Zhang H W, Chen J. Bipartite consensus of general linear multi-agent systems. In: Proceedings of American Control Conference (ACC), 2014. 808–812

    Google Scholar 

  15. Dimarogonas D V, Frazzoli E, Johansson K H. Distributed event-triggered control for multi-agent systems. IEEE Trans Automat Contr, 2012, 57: 1291–1297

    Article  MathSciNet  Google Scholar 

  16. Li H Q, Liao X F, Huang T W, et al. Event-triggering sampling based leader-following consensus in second-order multi-agent systems. IEEE Trans Automat Contr, 2015, 60: 1998–2003

    Article  MathSciNet  Google Scholar 

  17. Zhang X M, Han Q L. A decentralized event-triggered dissipative control scheme for systems with multiple sensors to sample the system outputs. IEEE Trans Cybern, 2016, 46: 2745–2757

    Article  Google Scholar 

  18. Zhang X M, Han Q L. Event-triggered dynamic output feedback control for networked control systems. IET Control Theory Appl, 2014, 8: 226–234

    Article  MathSciNet  Google Scholar 

  19. Zhang B L, Han Q L, Zhang X M. Event-triggered H∞ reliable control for offshore structures in network environments. J Sound Vib, 2016, 368: 1–21

    Article  Google Scholar 

  20. Ge X, Han Q L. Distributed formation control of networked multi-agent systems using a dynamic event-triggered communication mechanism. IEEE Trans Ind Electron, 2017, 64: 8118–8127

    Article  Google Scholar 

  21. Huang N, Duan Z S, Zhao Y. Distributed consensus for multiple Euler-Lagrange systems: an event-triggered approach. Sci China Technol Sci, 2016, 59: 33–44

    Article  Google Scholar 

  22. Ge X H, Han Q L. Distributed event-triggered H∞ filtering over sensor networks with communication delays. Inf Sci, 2015, 291: 128–142

    Article  MathSciNet  Google Scholar 

  23. Wu Z G, Xu Y, Pan Y J, et al. Event-triggered pinning control for consensus of multiagent systems with quantized information. IEEE Trans Syst Man Cybern Syst, 2018, 48: 1929–1938

    Article  Google Scholar 

  24. Wu Z Z, Wu Y Q, Wu Z G, et al. Event-based synchronization of heterogeneous complex networks subject to transmission delays. IEEE Trans Syst Man Cybern Syst, 2018, 48: 2126–2134

    Article  Google Scholar 

  25. Zhang W B, Wang Z D, Liu Y R, et al. Event-based state estimation for a class of complex networks with time-varying delays: a comparison principle approach. Phys Lett A, 2017, 381: 10–18

    Article  MathSciNet  Google Scholar 

  26. Zhu W, Zhou Q H, Wang D D, et al. Fully distributed consensus of second-order multi-agent systems using adaptive event-based control. Sci China Inf Sci, 2018, 61: 3

    MathSciNet  Google Scholar 

  27. Li L, Ho D W C, Lu J. Event-based network consensus with communication delays. Nonlin Dyn, 2017, 87: 1847–1858

    Article  Google Scholar 

  28. Xu W, Ho D W C, Zhong J, et al. Distributed edge event-triggered consensus protocol of multi-agent systems with communication buffer. Int J Robust Nonlin Control, 2017, 27: 483–496

    Article  MathSciNet  Google Scholar 

  29. Xia P F, Zhou S L, Giannakis G B. Adaptive MIMO-OFDM based on partial channel state information. IEEE Trans Signal Process, 2004, 52: 202–213

    Article  MathSciNet  Google Scholar 

  30. Huang C, Ho D W C, Lu J. Partial-information-based distributed filtering in two-targets tracking sensor networks. IEEE Trans Circ Syst I, 2012, 59: 820–832

    MathSciNet  Google Scholar 

  31. Huang C, Ho D W C, Lu J. Partial-information-based synchronization analysis for complex dynamical networks. J Franklin Inst, 2015, 352: 3458–3475

    Article  MathSciNet  Google Scholar 

  32. Lu J Q, Ding C D, Lou J G, et al. Outer synchronization of partially coupled dynamical networks via pinning impulsive controllers. J Franklin Inst, 2015, 352: 5024–5041

    Article  MathSciNet  Google Scholar 

  33. Li X H, Lu J Q, Chen X Y, et al. Robust output tracking of delayed Boolean networks under pinning control. IEEE Trans Circ Syst II, 2018, 65: 1249–1253

    Google Scholar 

  34. Girard A. Dynamic triggering mechanisms for event-triggered control. IEEE Trans Automat Contr, 2015, 60: 1992–1997

    Article  MathSciNet  Google Scholar 

  35. Horn R, Johnson C. Matrix Analysis. Cambridge: Cambridge University Press, 1990

    MATH  Google Scholar 

  36. Ge X H, Han Q L, Wang Z D. A dynamic event-triggered transmission scheme for distributed set-membership estimation over wireless sensor networks. IEEE Trans Cybern, 2019, 49: 171–183

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61503115, 61773185, 61877030, 91538112), Fundamental Research Funds for the Central Universities (Grant No. JZ2017HGTB0188), and Qing Lan Project.

Author information

Authors and Affiliations

  1. School of Mathematics, Hefei University of Technology, Hefei, 230009, China

    Lulu Li & Wei Huang

  2. School of Computer Science and Technology, Jiangsu Normal University, Xuzhou, 221116, China

    Xiaoyang Liu

Authors
  1. Lulu Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiaoyang Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Wei Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaoyang Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, L., Liu, X. & Huang, W. Event-based bipartite multi-agent consensus with partial information transmission and communication delays under antagonistic interactions. Sci. China Inf. Sci. 63, 150204 (2020). https://doi.org/10.1007/s11432-019-2693-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11432-019-2693-x

Keywords

Search

Navigation