Stability analysis of swarms in an environment with an attractant/repellent profile

1 January 2002

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 3, 1819-1824 vol.3
https://doi.org/10.1109/acc.2002.1023831

Abstract

In this article we specify an "individual-based" continuous time swarm model in n-dimensional space with an attractant/repellent profile. The motion of each individual is determined by three components: (i) attraction to the other individuals on long distances, (ii) repulsion from the other individuals on short distances, and (iii) attraction to the more favorable regions of the attractant/repellent profile. We study the stability properties of the collective behavior of the swarm for different profiles and provide conditions for collective convergence to more favorable regions of the profile.

Keywords

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