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Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics

Author

Listed:
  • Bo Liu
  • Hongke Feng
  • Li Wang
  • Rong Li
  • Junyan Yu
  • Housheng Su
  • Guangming Xie

Abstract

This paper proposes a new second-order discrete-time multiagent model and addresses the controllability of second-order multiagent system with multiple leaders and general dynamics. The leaders play an important role in governing the other member agents to achieve any desired configuration. Some sufficient and necessary conditions are given for the controllability of the second-order multiagent system. Moreover, the speed controllability of the second-order multiagent system with general dynamics is discussed. Particularly, it is shown that the controllability of the whole system relies on the number of leaders and the connectivity between the leaders and the members. Numerical examples illustrate the theoretical results.

Suggested Citation

  • Bo Liu & Hongke Feng & Li Wang & Rong Li & Junyan Yu & Housheng Su & Guangming Xie, 2013. "Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, June.
    • Handle: RePEc:hin:jnlmpe:587569
    DOI: 10.1155/2013/587569
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