Asymptotic Flocking for the Cucker-Smale Model with Time Variable Time Delays

被引：4
作者：
Continelli, Elisa [1 ]
机构：
[1] Univ LAquila, Dipartimento Ingn & Sci Informaz & Matemat, Via Vetoio, I-67010 Laquila, Italy
来源：
ACTA APPLICANDAE MATHEMATICAE | 2023年 / 188卷 / 01期
关键词：
Cucker-Smale model; Time delay; Influence function; Asymptotic flocking; HEGSELMANN-KRAUSE; EMERGENT BEHAVIOR; OPINION FORMATION; CONSENSUS; CONVERGENCE; DYNAMICS; WEIGHTS;
D O I：
10.1007/s10440-023-00625-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a Cucker-Smale flocking model with varying time delay. We establish exponential asymptotic flocking without requiring smallness assumptions on the time delay size and the monotonicity of the influence function.
引用
收藏
页数：23
相关论文
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 [J].
Bellomo, Nicola ;
Herrero, Miguel A. ;
Tosin, Andrea .
KINETIC AND RELATED MODELS, 2013, 6 (03) :459-479
[3]   Modeling and control through leadership of a refined flocking system [J].
Borzi, Alfio ;
Wongkaew, Suttida .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2015, 25 (02) :255-282
[4]  
Bullo F, 2009, PRINC SER APPL MATH, P1
[5]  
Camazine S., 2001, Self-Organization in Biological Systems
[6]   A WELL-POSEDNESS THEORY IN MEASURES FOR SOME KINETIC MODELS OF COLLECTIVE MOTION [J].
Canizo, J. A. ;
Carrillo, J. A. ;
Rosado, J. .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (03) :515-539
[7]   SPARSE STABILIZATION AND OPTIMAL CONTROL OF THE CUCKER-SMALE MODEL [J].
Caponigro, Marco ;
Fornasier, Massimo ;
Piccoli, Benedetto ;
Trelat, Emmanuel .
MATHEMATICAL CONTROL AND RELATED FIELDS, 2013, 3 (04) :447-+
[8]   ASYMPTOTIC FLOCKING DYNAMICS FOR THE KINETIC CUCKER-SMALE MODEL [J].
Carrillo, J. A. ;
Fornasier, M. ;
Rosado, J. ;
Toscani, G. .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (01) :218-236
[9]   Consensus of the Hegselmann-Krause opinion formation model with time delay [J].
Choi, Young-Pil ;
Paolucci, Alessandro ;
Pignotti, Cristina .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) :4560-4579
[10]   EMERGENT BEHAVIOR OF CUCKER-SMALE MODEL WITH NORMALIZED WEIGHTS AND DISTRIBUTED TIME DELAYS [J].
Choi, Young-Pil ;
Pignotti, Cristina .
NETWORKS AND HETEROGENEOUS MEDIA, 2019, 14 (04) :789-804
1234