Stability analysis of swarms with interaction time delays

Authors:
Qun Liu;Lanfen Wang;Xiaofeng Liao
Affiliations:
College of Computer Science and Technology, ChongQing University of Posts and Telecommunications, 400065 ChongQing, PR China;College of Computer Science and Technology, ChongQing University of Posts and Telecommunications, 400065 ChongQing, PR China;College of Computer Science and Technology, ChongQing University, 400030 ChongQing, PR China
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

This paper investigates the collective behavior of a general swarm model with communication time delays under different environment profiles, and the complex dynamic behavior of the delayed swarm model along a plane and a quadratic attractant/repellent profile are analyzed respectively too. It turns out that the swarm members can eventually converge to a finite region under certain conditions and the time delay plays an important role in the dynamic behavior of swarms. Finally numerical simulation results indicate that our theoretical analysis is correct.