Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership
@article{Pignotti2018FlockingEF, title={Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership}, author={Cristina Pignotti and Irene Reche Vallejo}, journal={Journal of Mathematical Analysis and Applications}, year={2018} }
47 Citations
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader
- MathematicsCommunications in Mathematical Sciences
- 2022
. We study the discrete-time Cucker-Smale model under hierarchical leadership with a constant time delay. The overall leader of the flock is assumed to have a free-will acceleration. The strength of…
Asymptotic Analysis of a Cucker–Smale System with Leadership and Distributed Delay
- MathematicsTrends in Control Theory and Partial Differential Equations
- 2019
We extend the analysis developed in Pignotti and Reche Vallejo (J Math Anal Appl 464:1313–1332, 2018) [34] in order to prove convergence to consensus results for a Cucker–Smale type model with…
Cucker-Smale flocking under rooted leadership and time-varying heterogeneous delays
- Computer Science, MathematicsAppl. Math. Lett.
- 2019
On the control of the Hegselmann-Krause model with leadership and time delay
- Mathematics
- 2021
We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with pointwise time variable time delay and a model with a…
Optimal Control through Leadership of the Cucker and Smale Flocking Model with Time Delays
- Computer ScienceComplex.
- 2021
The Cucker and Smale model is a well-known flocking model that describes the emergence of flocks based on alignment and the existence of the first-order optimality conditions for a delayed optimal control problem is discussed.
Flocking in a two-agent Cucker-Smale model with large delay
- Mathematics
- 2021
It is rigorously proved that flocking behavior emerges for a large information processing delay, and the relationship between the admissible size of time delay and the system’s parameters and initial data is established.
Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays
- MathematicsNetworks Heterog. Media
- 2019
It is shown that as the number of individuals N tends to infinity, the N-particle system can be well approximated by a delayed Vlasov alignment equation and its large-time asymptotic behavior.
Fixed-Time Flocking Problem of a Cucker–Smale Model
- MathematicsMathematical Problems in Engineering
- 2020
In this paper, we studied a Cucker–Smale model with continuous non-Lipschitz protocol. The methodology presented in the current work is based on the explicit construction of a Lyapunov functional. By…
Exponential asymptotic flocking in the Cucker-Smale model with distributed reaction delays.
- MathematicsMathematical biosciences and engineering : MBE
- 2020
Using backward-forward and stability estimates on the quadratic velocity fluctuations, sufficient conditions are derived for asymptotic flocking of the solutions of the Cucker-Smale system and the applicability of the theory to particular delay distributions is demonstrated.
Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays
- MathematicsAppl. Math. Lett.
- 2018
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