Title: Aggregation behaviour analysis, modelling and control of anisotropic stochastic swarm systems

Authors: Zhibin Xue, Jianchao Zeng

Addresses: College of Electric & Information Engineering, Lanzhou University of Technology, Lanzhou, 730050, China; Department of Chemical Machinery, Chemical Engineering College, Qinghai University, Xining, 810016, China. ' College of Electric & Information Engineering, Lanzhou University of Technology, Lanzhou, 730050, China; Division of System Simulation and Computer Application, Taiyuan University of Science and Technology, Taiyuan, 030024, China

Abstract: The swarm foraging behaviour control scheme of stochastic swarm systems is investigated in this paper, whose agents are moving in n-dimensions Euclidean space with a family of attractant/repellent profile based on artificial potential functions under the m-dimensional standard Gauss white noise jamming. The corresponding M-member |individual-based| Lagrangian isotropic/anisotropic continuous time social foraging swarms model is proposed. Furthermore, formation control is considered as a special form of swarm aggregation, where the final aggregated form of the swarm is desired to constitute a particular predefined arbitrary polygonal geometrical configuration that is defined by a set of desired inter-agent distance values. Through numerical simulations, the stability and validity of the proposed foraging swarm|s behaviour control scheme is illustrated.

Keywords: aggregation behaviour; swarm aggregation; stochastic swarm systems; foraging swarms; formation configuration; social behaviour control; individual-based; numerical simulation; stability; modelling; artificial potential functions.

DOI: 10.1504/IJMIC.2010.034582

International Journal of Modelling, Identification and Control, 2010 Vol.10 No.3/4, pp.281 - 291

Available online: 10 Aug 2010 *

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