Abstract
The phenomenon of swarm is a natural phenomenon of motion gather from origin to final destination. With this phenomenon task or a job done together by all agents of the swarm. This paper describes the swarm model with the attractor and repellent function between agents of the swarm. In this paper, we study about stationary of swarm center and stability analysis of the model with Lyapunov method. From the analytical results are obtained that the swarm center are stationary. Also, using Lyapunov stability method is obtained that the proposed model is stable. The results of numerical simulations show that all agents will aggregate and enter into in a bounded region around the swarm center. In the last section will show the results of numerical simulation of the swarm behavior.
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