title: Swarming behaviors in multi-agent systems with nonlinear dynamics.
abstract: The dynamic analysis of a continuous-time multi-agent swarm model with nonlinear profiles is investigated in this paper. It is shown that, under mild conditions, all agents in a swarm can reach cohesion within a finite time, where the upper bounds of the cohesion are derived in terms of the parameters of the swarm model. The results are then generalized by considering stochastic noise and switching between nonlinear profiles. Furthermore, swarm models with limited sensing range inducing changing communication topologies and unbounded repulsive interactions between agents are studied by switching system and nonsmooth analysis. Here, the sensing range of each agent is limited and the possibility of collision among nearby agents is high. Finally, simulation results are presented to demonstrate the validity of the theoretical analysis.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing 210096, China.
authors.forename: Wenwu
authors.initials: W
authors.lastname: Yu
authors.affiliation: Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China.
authors.forename: Guanrong
authors.initials: G
authors.lastname: Chen
authors.affiliation: Faculty of Mathematics and Natural Sciences, ITM, University of Groningen, The Netherlands.
authors.forename: Ming
authors.initials: M
authors.lastname: Cao
authors.affiliation: Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Jinhu
authors.initials: J
authors.lastname: Lü
authors.affiliation: Department of Control Science and Engineering, State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China.
authors.forename: Hai-Tao
authors.initials: HT
authors.lastname: Zhang
mesh_terms: D008954:Models, Biological; D013269:Stochastic Processes