Title :
Stability Analysis of Swarm with Gaussian Attractant/Repellent Profiles
Author :
Liu, Bo ; Yu, Yan ; Zhang, Jie
Author_Institution :
Coll. of Sci., North China Univ. of Technol., Beijing, China
Abstract :
This paper considers a swarm model with a general attraction-repulsion function involving variable communication time lags and an attractant/repellent. It is proved 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. Moreover, all the swarm individuals will converge to more favorable areas of the Gaussian attractant/repellent profiles under certain conditions in the presence of communication delays.
Keywords :
Gaussian processes; social sciences; Gaussian attractant profile; attraction-repulsion function; communication delays; finite size; finite time; repellent profile; stability analysis; swarm model; time delays; variable communication time lags; Aggregates; Artificial intelligence; Birds; Delay effects; Differential equations; Educational institutions; Humans; Marine animals; Stability analysis; Vehicle dynamics;
Conference_Titel :
Artificial Intelligence, 2009. JCAI '09. International Joint Conference on
Conference_Location :
Hainan Island
Print_ISBN :
978-0-7695-3615-6
DOI :
10.1109/JCAI.2009.183
