Stability analysis of general swarm with Gaussian attractant/repellent profiles and interaction time delays

Control Conference(2013)

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摘要
In this paper we consider a class of social foraging swarms with nutrient/toxic profiles and general nonlinear attraction and repulsion structure, as well as interaction constant time delays. The emergent behavior of the swarm motion is the result of a balance between inter-individuals interactions and the simultaneous interactions of the swarm with their environment. The paper considers some condition under which it shows that for Gaussian attractant/repellent profiles the individuals of the swarm with time delays will aggregate and form a cohesive cluster of finite size in a finite time under some mild assumptions.
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关键词
gaussian repellent profile,toxic profile,gaussian attractant profile,interindividual interactions,general nonlinear attraction structure,finite size cohesive cluster,interaction constant time delays,multi-agent system,potential functions,delays,behavioural sciences,simultaneous swarm-environment interaction,aggregation,general swarm stability analysis,gaussian processes,nonlinear attraction and repulsion,nutrient profile,emergent swarm motion behavior,general nonlinear repulsion structure,stability,social foraging swarms,time delays,force,symmetric matrices,vectors,multi agent system,couplings
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