(UN)CONDITIONAL CONSENSUS EMERGENCE UNDER PERTURBED AND DECENTRALIZED FEEDBACK CONTROLS

被引:27
作者
Bongini, Mattia [1 ]
Fornasier, Massimo [1 ]
Kalise, Dante [2 ]
机构
[1] Tech Univ Munich, Fak Math, D-85748 Garching, Germany
[2] Austrian Acad Sci, Radon Inst Computat & Appl Math, A-4040 Linz, Austria
基金
奥地利科学基金会;
关键词
Multi-agent systems; Cucker-Smale model; consensus emergence; feedback stabilization; decentralized control; BEHAVIOR; PARTICLE;
D O I
10.3934/dcds.2015.35.4071
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:4071 / 4094
页数:24
相关论文
共 18 条
[1]  
[Anonymous], 1987, Computer Graphics, DOI DOI 10.1145/37402
[2]   Decentralized control: An overview [J].
Bakule, Lubomir .
ANNUAL REVIEWS IN CONTROL, 2008, 32 (01) :87-98
[3]   Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study [J].
Ballerini, M. ;
Calbibbo, N. ;
Candeleir, R. ;
Cavagna, A. ;
Cisbani, E. ;
Giardina, I. ;
Lecomte, V. ;
Orlandi, A. ;
Parisi, G. ;
Procaccini, A. ;
Viale, M. ;
Zdravkovic, V. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2008, 105 (04) :1232-1237
[4]   Sparse stabilization and control of alignment models [J].
Caponigro, Marco ;
Fornasier, Massimo ;
Piccoli, Benedetto ;
Trelat, Emmanuel .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2015, 25 (03) :521-564
[5]  
Carrillo JA, 2010, MODEL SIMUL SCI ENG, P297, DOI 10.1007/978-0-8176-4946-3_12
[6]  
Cucker F., 2008, Math. Action, V1, P1, DOI [10.5802/msia.1, DOI 10.5802/MSIA.1]
[7]   On the mathematics of emergence [J].
Cucker, Felipe ;
Smale, Steve .
JAPANESE JOURNAL OF MATHEMATICS, 2007, 2 (01) :197-227
[8]   Emergent behavior in flocks [J].
Cucker, Felipe ;
Smale, Steve .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :852-862
[9]  
Filipov A., 1988, DIFFERENTIAL EQUATIO, V18
[10]   MEAN-FIELD OPTIMAL CONTROL [J].
Fornasier, Massimo ;
Solombrino, Francesco .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2014, 20 (04) :1123-1152