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Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces

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  • Qiang Song
  • Fang Liu
  • Jinde Cao
  • Jianlong Qiu

Abstract

This paper proposes two Cucker-Smale-type flocking models by introducing both cohesive and repulsive forces to second-order multiagent systems. Under some mild conditions on the initial state of the flocking system, it is shown that the velocity consensus of the agents can be reached independent of the parameter which describes the decay of communication rates. In particular, the collision between any two agents can always be avoided by designing an appropriate bounded repulsive function based on the initial energy of the flock. Numerical examples are given to demonstrate the effectiveness of the theoretical analysis.

Suggested Citation

  • Qiang Song & Fang Liu & Jinde Cao & Jianlong Qiu, 2013. "Cucker-Smale Flocking with Bounded Cohesive and Repulsive Forces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, September.
    • Handle: RePEc:hin:jnlaaa:783279
    DOI: 10.1155/2013/783279
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