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In this paper, a more general multi-agent system based on leader control model is established, in which the coupling topology of the attraction action among the agents is different from the coupling topology of the repulsion action. It is proved that the swarm agents will converge and form a cohesive cluster following the leader under certain conditions in finite time. Two different cases of the system...
This paper considers an M-member "individual-based" continuous time swarm model with individuals moving with a nutrient profile (or an attractant/repellent) in an n- dimensional space. It is proved that the swarm members aggregate and eventually form a cohesive cluster of finite size for Gaussian Profiles. Moreover, all the swarm members will converge to more favorable areas of the Gaussian...
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