Stability analysis of swarm based on double integrator model

Authors:
Dan Jin;Lixin Gao
Affiliations:
Institute of Operations Research and Control Sciences, Wenzhou University, Zhejiang, China;Institute of Operations Research and Control Sciences, Wenzhou University, Zhejiang, China
Venue:
ICIC'06 Proceedings of the 2006 international conference on Computational Intelligence and Bioinformatics - Volume Part III
Year:
2006

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Abstract

In this paper, we consider an M -member individual-based continuous-time double integrator swarm model in an n-dimensional space. The swarm model based on the Newton's law is more suitable to describe the swarm aggregation and has wide practical applications. We present stability analysis for the case of linear attraction and bounded repulsion to characterize swarm cohesiveness, size and ultimate motions while in a cohesive group. Finally, some numerical examples and simulation results are presented to illustrate the effectiveness of the swarm model.