Flocking estimates for the Cucker–Smale model with time lag and hierarchical leadership
| Autor: | Irene Reche Vallejo, Cristina Pignotti |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Flocking (behavior)
Applied Mathematics 010102 general mathematics Time lag Flocking Cucker Smale model 01 natural sciences Computer Science::Multiagent Systems 010101 applied mathematics Cucker Smale model Flocking Time delay Lyapunov functional Optimization and Control (math.OC) Control theory FOS: Mathematics Applied mathematics 0101 mathematics Mathematics - Optimization and Control Time delay Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 464:1313-1332 |
| ISSN: | 0022-247X |
| Popis: | We analyze the Cucker–Smale model under hierarchical leadership in presence of a time delay. By using a Lyapunov functional approach and some induction arguments we will prove convergence to consensus for every positive delay τ. We also prove a flocking estimate in the case of a free-will leader. These results seem to point out the advantage of a hierarchical structure in order to contrast time delay effects that frequently appear in real situations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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