Asymptotic flocking for the Cucker-Smale model with time variable time delays

Abstract

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.

References in corpus (6)

• A new model for self-organized dynamics and its flocking behavior
• A well-posedness theory in measures for some kinetic models of collective motion
• On the dynamics of social conflicts: looking for the Black Swan
• Flocking estimates for the Cucker-Smale model with time lag and hierarchical leadership
• Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime
• Direct proof of unconditional asymptotic consensus in the Hegselmann-Krause model with transmission-type delay

Cited by in corpus (3)

• Convergence to consensus results for Hegselmann-Krause type models with attractive-lacking interaction
• A note on the Cucker-Smale model with time delay and communication failures
• First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures