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Group Movement of Multi-agent Systems with Diverse Delays

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Machine Learning for Cyber Security (ML4CS 2020)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12487))

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Abstract

Wireless sensor network, which is an important part of Cyber-physical systems, has been widely applied in the fields of artificial intelligence. However, there exist communication delays between nodes in wireless communication network, which may reduce the performance and stability of the network. In this paper, we study cooperative control of multi-agent dynamical systems with communication delays. With the hypothesis of multiple agents groups, we propose group cooperative algorithm of multi-agent systems with diverse delays. By applying generalized Nyquist criterion, we analyze the group consensus of multi-agent systems with fixed coupling weights and obtain convergence condition of group movement, which is an upper value of the communication delays, to ensue the group consensus of dynamical systems. Finally, a simulation example illustrates the effectiveness of the results.

The work is supported by the National Natural Science Foundation of China (61673200, 61771231), the Major Basic Research Project of Natural Science Foundation of Shandong Province of China (ZR2018ZC0438) and the Key Research and Development Program of YantaiCityof China (2019XDHZ085).

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References

  1. Olfati-Saber, R., Fax, J.A., Murray, R.M.: Consensus and cooperation in networked multi-agent systems. Proc. IEEE 95(1), 215–233 (2007)

    Article  Google Scholar 

  2. Ren, W., Beard, R.W., Atlkins, E.: Information consensus in multivehicle cooperative control: collective group behavior through local interaction. IEEE Control Syst. Mag. 27(2), 71–82 (2007)

    Article  Google Scholar 

  3. Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of groups of mobile agents using nearest neighbor rules. IEEE Trans. Autom. Control 48(6), 988–1001 (2003)

    Article  MathSciNet  Google Scholar 

  4. Olfati-Saber, R., Murray, R.M.: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control 49(9), 1520–1533 (2004)

    Article  MathSciNet  Google Scholar 

  5. Yang, H.-Y., Zhu, X.-L., Zhang, S.-Y.: Consensus of second-order delayed multi-agent systems with leader-following. Eur. J. Control 16(2), 188–199 (2010)

    Article  MathSciNet  Google Scholar 

  6. Yang, H.-Y., Yang, Y., Han, F., et al.: Containment control of heterogeneous fractional-order multi-agent systems. J. Franklin Inst. 356, 752–765 (2019)

    Article  MathSciNet  Google Scholar 

  7. Xu, Z., Cai, X.: Group consensus algorithms based on preference relations. Inf. Sci. 181(1), 150–162 (2011)

    Article  Google Scholar 

  8. Hu, H.X., Yu, W., Xuan, Q., et al.: Group consensus for heterogeneous multi-agent systems with parametric uncertainties. Neurocomputing 142(1), 383–392 (2014)

    Article  Google Scholar 

  9. Gao, Y., Yu, J., Shao, J., et al.: Group consensus for multi-agent systems under the effect of coupling strength among groups. IFAC-PapersOnLine 48(28), 449–454 (2015)

    Article  Google Scholar 

  10. Hu, H.X., Yu, L., Zhang, W.A., et al.: Group consensus in multi-agent systems with hybrid protocol. J. Franklin Inst. 350(3), 575–597 (2013)

    Article  MathSciNet  Google Scholar 

  11. Yu, J., Wang, L.: Group consensus in multi-agent systems with switching topologies. Syst. Control Lett. 59(6), 340–348 (2010)

    Article  MathSciNet  Google Scholar 

  12. Hu, J., Hong, Y.: Leader-following coordination of multi-agent systems with coupling time delays. Phys. A 374, 853–863 (2007)

    Article  Google Scholar 

  13. Xiao, F., Wang, L.: State consensus for multi-agent systems with switching topologies and time-varying delays. Int. J. Control 52(8), 1469–1475 (2007)

    Google Scholar 

  14. Yang, H., Guo, L., Zou, H.: Robust consensus of multi-agent systems with time-delays and exogenous disturbances. Int. J. Control Autom. Syst. 10(10), 797–805 (2012)

    Article  Google Scholar 

  15. Xie, D., Liang, T.: Second-order group consensus for multi-agent systems with time delays. Neurocomputing 153, 133–139 (2015)

    Article  Google Scholar 

  16. Gao, Y.L., Yu, J.Y., Shao, J.L., et al.: Group consensus for second-order discrete-time multi-agent systems with time-varying delays under switching topologies. Neurocomputing 207, 805–812 (2016)

    Article  Google Scholar 

  17. Yu, J., Wang, L.: Group consensus in multi-agent systems with switching topologies and communication delays. Syst. Control Lett. 59, 340–348 (2010)

    Article  MathSciNet  Google Scholar 

  18. Wen, G., Yu, Y., Peng, Z., et al.: Dynamical group consensus of heterogenous multi-agent systems with input time delays. Neurocomputing 175, 278–286 (2016)

    Article  Google Scholar 

  19. Xia, H., Huang, T.Z., Shao, J.-L., et al.: Group consensus of multi-agent systems with communication delays. Neurocomputing 171, 1666–1673 (2016)

    Article  Google Scholar 

  20. Wang, F., Yang, H., Yang, Y.: Swarming movement of dynamical multi-agent systems with sampling control and time delays. Soft Comput. 23, 707–714 (2019)

    Article  Google Scholar 

  21. Tian, Y., Liu, C.: Consensus of multi-agent systems with diverse input and communication delays. IEEE Trans. Autom. Control 53(9), 2122–2128 (2008)

    Article  MathSciNet  Google Scholar 

  22. Yang, H., Zhang, Z., Zhang, S.: Consensus of second-order multi-agent systems with exogenous disturbances. Int. J. Robust Nonlinear Control 21(9), 945–956 (2011)

    Article  MathSciNet  Google Scholar 

  23. Ren, W., Beard, R.W.: Distributed Consensus in Multi-Vehicle Cooperative Control: Theory and Applications. Springer, Heidelberg (2008). https://doi.org/10.1007/978-1-84800-015-5

    Book  MATH  Google Scholar 

  24. Desoer, C.A., Wang, Y.T.: On the generalized Nyquist stability criterion. IEEE Trans. Autom. Control 25(1), 187–196 (1980)

    Article  MathSciNet  Google Scholar 

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Acknowledgement

The work is supported by the National Natural Science Foundation of China (61673200, 61771231), the Major Basic Research Project of Natural Science Foundation of Shandong Province of China (ZR2018ZC0438) and the Key Research and Development Program of Yantai City of China(2019XDHZ085). The authors thank the anonymous reviewers for theirs valuable comments to significantly improve the quality of this paper.

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Authors and Affiliations

  1. School of Information and Electrical Engineering, Ludong University, Yantai, 264025, People’s Republic of China

    Yize Yang, Hongyong Yang, Fei Liu & Li Liu

  2. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia

    Yize Yang

Authors
  1. Yize Yang
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  2. Hongyong Yang
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  3. Fei Liu
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  4. Li Liu
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Corresponding author

Correspondence to Hongyong Yang .

Editor information

Editors and Affiliations

  1. Xidian University, Xi'an, China

    Xiaofeng Chen

  2. Guangzhou University, Guangzhou, China

    Hongyang Yan

  3. Michigan State University, East Lansing, MI, USA

    Qiben Yan

  4. Division of Computer, Electrical and Mathematical Sciences and Engineering, King Abdullah University of Science, Thuwal, Saudi Arabia

    Xiangliang Zhang

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Yang, Y., Yang, H., Liu, F., Liu, L. (2020). Group Movement of Multi-agent Systems with Diverse Delays. In: Chen, X., Yan, H., Yan, Q., Zhang, X. (eds) Machine Learning for Cyber Security. ML4CS 2020. Lecture Notes in Computer Science(), vol 12487. Springer, Cham. https://doi.org/10.1007/978-3-030-62460-6_13

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  • DOI: https://doi.org/10.1007/978-3-030-62460-6_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-62459-0

  • Online ISBN: 978-3-030-62460-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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