Robustness of Cucker–Smale flocking model. Issue 3 (1st February 2015)

• Record Type: Journal Article
• Authors: Canale, Eduardo; Dalmao, Federico; Mordecki, Ernesto; Souza, Max O.
• Is Part Of: IET control theory & applications. Volume 9:Issue 3(2015)
• Page Start: 346
• Page End: 350
• Publication Date: 2015-02-01
• Subjects: robust control -- failure analysis -- mobile robots -- multi‐robot systems -- probability; Cucker‐Smale flocking model robustness -- autonomous interacting agents -- agent velocity -- weighted relative mean velocities -- probability -- failure rate -- deterministic flocking model -- random failures -- sublinear distance dependent rate -- flocking characteristic behaviour -- deterministic model; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2014.0496
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : Consider a system of autonomous interacting agents moving in space, adjusting each own velocity as a weighted mean of the relative velocities of the other agents. In order to test the robustness of the model, the authors assume that each pair of agents, at each time step, can fail to connect with certain probability, the failure rate. This is a modification of the (deterministic) Flocking model introduced by Cucker and Smale (2007). They prove that, if this random failures are independent in time and space, and have linear or sub‐linear distance dependent rate of decay, the characteristic behaviour of flocking exhibited by the original deterministic model, also holds true under random failures, for all failure rates.