CONVERGENCE TO CONSENSUS RESULTS FOR HEGSELMANN-KRAUSE TYPE MODELS WITH ATTRACTIVE-LACKING INTERACTION

被引：1

作者：

Continelli, Elisa ^{[1
]}

Pignotti, Cristina ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Ingn Scienze Informazione Matema, Via Vetoio, I-67100 Laquila, Italy

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2024年 / 14卷 / 04期

关键词：

Opinion formation models; convergence to consensus; influence function; communication failures; time delay; CUCKER-SMALE MODEL; EMERGENT BEHAVIOR; OPINION FORMATION; FLOCKING; DYNAMICS; WEIGHTS;

D O I：

10.3934/mcrf.2024029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze a Hegselmann-Krause opinion formation model with attractive-lacking interaction. More precisely, we investigate the situation in which the agents involved in an opinion formation process interact among themselves but can eventually suspend the exchange of information among each other at some times. Under quite general assumptions, we prove the exponential convergence to consensus for the model in presence of possible lack of interaction. We are also able to extend the consensus estimate in the case of Hegselmann-Krause models with time delay effects.

引用

页码：1408 / 1427

页数：20

共 36 条

[1] Aydogdu A, 2017, MODEL SIMUL SCI ENG, P99, DOI 10.1007/978-3-319-49996-3_3
[2] ON THE DYNAMICS OF SOCIAL CONFLICTS: LOOKING FOR THE BLACK SWAN
Bellomo, Nicola
Herrero, Miguel A.
Tosin, Andrea
[J]. KINETIC AND RELATED MODELS, 2013, 6 (03) : 459 - 479
[3] Consensus and flocking under communication failures for a class of Cucker-Smale systems
Bonnet, Benoit
Flayac, Emilien
[J]. SYSTEMS & CONTROL LETTERS, 2021, 152
[4] Modeling and control through leadership of a refined flocking system
Borzi, Alfio
Wongkaew, Suttida
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2015, 25 (02) : 255 - 282
[5] Bullo F, 2009, PRINC SER APPL MATH, P1
[6] Camazine S., 2003, SELFORGANIZATION BIO
[7] AN EULERIAN APPROACH TO THE ANALYSIS OF KRAUSE'S CONSENSUS MODELS
Canuto, C.
Fagnani, F.
Tilli, P.
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (01) : 243 - 265
[8] Canuto C., 2008, IFAC P VOLUMES, V41, P9039, DOI DOI 10.3182/20080706-5-KR-1001.01526
[9] Continuous and discontinuous opinion dynamics with bounded confidence
Ceragioli, Francesca
Frasca, Paolo
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (03) : 1239 - 1251
[10] Consensus of the Hegselmann-Krause opinion formation model with time delay
Choi, Young-Pil
Paolucci, Alessandro
Pignotti, Cristina
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 4560 - 4579

← 1 2 3 4 →