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Impulsive Consensus in Networks of Multi-agent Systems with Any Communication Delays

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Advances in Swarm Intelligence (ICSI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6729))

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Abstract

This paper considers consensus problem in directed networks of dynamic agents having communication delays. Based on impulsive control theory on delayed dynamical systems, a simple impulsive consensus protocol for such networks is proposed, and a generic criterion for solving the average consensus problem is analytically derived. Compared with some existing works, a distinctive feature of this work is to address average consensus problem for networks with any communication delays. It is shown that the impulsive gain matrix in the proposed protocol play a key role in seeking average consensus problems. Simulations are presented that are consistent with our theoretical results.

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References

  1. Jadbabaie, A., Lin, J., Morse, A.S.: Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules. IEEE Trans. Autom. Contr. 48, 988–1001 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fax, J.A., Murray, R.M.: Information Flow and Cooperative Control of Vehicle Formations. IEEE Trans. Autom. Contr. 49, 1465–1476 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Olfati-Saber, R., Murray, R.M.: Consensus Problems in Networks of Agents with Switching Topology and Time-Delays. IEEE Trans. Autom. Contr. 49, 1520–1533 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Moreau, L.: Stability of Multiagent Systems with Time-Dependent Communication Links. IEEE Trans. Autom. Contr. 50, 169–182 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ren, W., Beard, R.W.: Consensus Seeking in Multiagent Systems Under Dynamically Changing Interaction Topologies. IEEE Trans. Autom. Contr. 50, 655–661 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hong, Y.G., Hu, J.P., Gao, L.X.: Tracking Control for Multi-Agent Consensus with an Active Leader and Variable Topology. Automatica 42, 1177–1182 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  7. Sun, Y.G., Wang, L., Xie, G.M.: Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-Varying Delays. Syst. Contr. Lett. 57, 175–183 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Lin, P., Jia, Y.M.: Average Consensus in Networks of Multi-Agents with both Switching Topology and Coupling Time-Delay. Physica A 387, 303–313 (2008)

    Article  Google Scholar 

  9. Wu, Q.J., Zhou, J., Xiang, L.: Impulsive Consensus Seeking in Directed Networks of Multi-Agent Systems with Communication Time-Delays. International Journal of Systems Science (2011) (in press), doi:10.1080/00207721.2010.547630

    Google Scholar 

  10. Yan, J., Shen, J.H.: Impulsive Stabilization of Functional Differential Equations by Lyapunov-Razumikhin Functions. Nonlinear Anal. 37, 245–255 (1999)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, Shanghai University of Electric Power, Shanghai, 200090, China

    Quanjun Wu & Li Xu

  2. Shanghai Institute of Applied Mathematics and Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, 200072, China

    Hua Zhang & Jin Zhou

Authors
  1. Quanjun Wu
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  2. Li Xu
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  3. Hua Zhang
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  4. Jin Zhou
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Editor information

Editors and Affiliations

  1. Key Laboratory of Machine Perception, Department of Machine Intelligence, School of Electronics Engineering and Computer Science, Peking University, 100871, Beijing, China

    Ying Tan

  2. Department of Electrical and Electronic Engineering, Xi’an Jiaotong-Liverpool University, 215123, Suzhou, China

    Yuhui Shi

  3. Automation College, Chongqing University, 400030, Chongqing, China

    Yi Chai

  4. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, P.R. China

    Guoyin Wang

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© 2011 Springer-Verlag Berlin Heidelberg

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Wu, Q., Xu, L., Zhang, H., Zhou, J. (2011). Impulsive Consensus in Networks of Multi-agent Systems with Any Communication Delays. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds) Advances in Swarm Intelligence. ICSI 2011. Lecture Notes in Computer Science, vol 6729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21524-7_16

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  • DOI: https://doi.org/10.1007/978-3-642-21524-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21523-0

  • Online ISBN: 978-3-642-21524-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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