(UN)conditional consensus emergence under perturbed and decentralized feedback controls

Bongini, Mattia; Fornasier, Massimo; Kalise, Dante

Abstract

We study the problem of consensus emergence in multi-agent systems via external feedback controllers. We consider a set of agents interacting with dynamics given by a Cucker-Smale type of model, and study its consensus stabilization by means of centralized and decentralized control configurations. We present a characterization of consensus emergence for systems with different feedback structures, such as leader-based configurations, perturbed information feedback, and feedback computed upon spatially confined information. We characterize consensus emergence for this latter design as a parameter-dependent transition regime between self-regulation and centralized feedback stabilization. Numerical experiments illustrate the different features of the proposed designs.

Citation

Bongini, M., Fornasier, M., & Kalise, D. (2015). (UN)conditional consensus emergence under perturbed and decentralized feedback controls. Discrete and Continuous Dynamical Systems - Series A, 35(9), 4071-4094. https://doi.org/10.3934/dcds.2015.35.4071

• Journal Article Type: Article
• Acceptance Date: Apr 30, 2014
• Online Publication Date: Jan 1, 2015
• Publication Date: Jan 1, 2015
• Deposit Date: Nov 12, 2019
• Journal: Discrete and Continuous Dynamical Systems- Series A
• Print ISSN: 1078-0947
• Electronic ISSN: 1553-5231
• Publisher: American Institute of Mathematical Sciences
• Peer Reviewed: Peer Reviewed
• Volume: 35
• Issue: 9
• Pages: 4071-4094
• DOI: https://doi.org/10.3934/dcds.2015.35.4071
• Public URL: https://nottingham-repository.worktribe.com/output/3220755