20th Annual American Control Conference (ACC), Alaska, Amerika Birleşik Devletleri, 8 - 10 Mayıs 2002, cilt.1-6, ss.1819-1824
In this article we specify an "individual-based" continuous time swarm model in n-dimensional space with an attractant/repellent profile. The motion of each individual is determined by three components: (i) attraction to the other individuals on long distances, (ii) repulsion from the other individuals on short distances, and (iii) attraction to the more favorable regions of the attractant/repellent profile. We study the stability properties of the collective behavior of the swarm for different profiles and provide conditions for collective convergence to more favorable regions of the profile.