Consensus Strategies for a Hegselmann-Krause Model with Leadership and Time Variable Time Delay

被引：5

作者：

Paolucci, Alessandro ^{[1
]}

Pignotti, Cristina ^{[1
]}

机构：

[1] Univ Laquila, Dipartimento Ingn & Sci Informaz & Matemat, Via Vetoio, I-67100 Laquila, Italy

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年 / 36卷 / 04期

关键词：

CUCKER-SMALE MODEL; OPINION DYNAMICS; EMERGENT BEHAVIOR; FLOCKING; CONVERGENCE; WEIGHTS; STATE;

D O I：

10.1007/s10884-023-10276-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with a pointwise time variable time delay and a model with a distributed delay. In both cases we show that, when the delays satisfy suitable smallness conditions, then the leader can control the system, leading the group to any prefixed state. Some numerical tests illustrate our analytical results.

引用

页码：3207 / 3232

页数：26

共 50 条

[31] Mixed Opinion Dynamics Based on DeGroot Model and Hegselmann-Krause Model in Social Networks [J].

Wu, Zhibin ;

Zhou, Qinyue ;

Dong, Yucheng ;

Xu, Jiuping ;

Altalhi, Abdulrahman H. ;

Herrera, Francisco .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2023, 53 (01) :296-308

[32] AMHK: A Novel Opinion Dynamics Affection Mobilization-Based Hegselmann-Krause Model [J].

Xu, Han ;

Ai, Kaili ;

Cai, Hui ;

Wu, Shuangshuang ;

Xu, Minghua .

2020 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2020, :3421-3426

[33] EXTENDING THE HEGSELMANN-KRAUSE MODEL III: FROM SINGLE BELIEFS TO COMPLEX BELIEF STATES [J].

Riegler, Alexander ;

Douven, Igor .

EPISTEME-A JOURNAL OF INDIVIDUAL AND SOCIAL EPISTEMOLOGY, 2009, 6 (02) :145-163

[34] Analysis and Application of Weighted-Median Hegselmann-Krause Opinion Dynamics Model on Social Networks [J].

Li, Guang ;

Liu, Qingsong ;

Chai, Li .

2022 34TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2022, :5409-5414

[35] Opinion dynamics of modified Hegselmann-Krause model in a group-based population with heterogeneous bounded confidence [J].

Fu, Guiyuan ;

Zhang, Weidong ;

Li, Zhijun .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 419 :558-565

[36] Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays [J].

Continelli, Elisa .

ACTA APPLICANDAE MATHEMATICAE, 2023, 188 (01)

[37] One-sided Versus Two-sided: A Novel Opinion Dynamics Information-Type Education-Based Hegselmann-Krause Model [J].

Xu, Minghua ;

Luo, Tiling ;

Liu, Ruixin ;

Wang, Bang ;

Xu, Han .

2021 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2021, :339-344

[38] CUCKER-SMALE MODEL WITH TIME DELAY [J].

Rodriguez Cartabia, Mauro .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (05) :2409-2432

[39] Delay Robustness of Consensus Algorithms: Continuous-Time Theory [J].

Proskurnikov, Anton V. ;

Calafiore, Giuseppe Carlo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (09) :5301-5316

[40] Consensus Problem for Linear Time-Invariant Systems with Time-Delay [J].

Fragoso-Rubio, V. ;

Velasco-Villa, M. ;

Vallejo-Alarcon, M. A. ;

Vasquez-Santacruz, J. A. ;

Hernandez-Perez, M. A. .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019

← 1 2 3 4 5 →