A generalized model of flocking with steering
Loading...
Links to Files
Permanent Link
Author/Creator
Author/Creator ORCID
Date
2021-02-07
Type of Work
Department
Program
Citation of Original Publication
Djokam, Guy A.; Rathinam, Muruhan; A generalized model of flocking with steering; Dynamical Systems (2021); https://arxiv.org/abs/2102.03862
Rights
This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
Subjects
Abstract
We introduce and analyze a model for the dynamics of flocking and steering of a finite number of agents. In this model, each agent's acceleration consists of flocking and steering components. The flocking component is a generalization of many of the existing models and allows for the incorporation of many real world features such as acceleration bounds, partial masking effects and orientation bias. The steering component is also integral to capture real world phenomena. We provide rigorous sufficient conditions under which the agents flock and steer together. We also provide a formal singular perturbation study of the situation where flocking happens much faster than steering. We end our work by providing some numerical simulations to illustrate our theoretical results.