Soft Control of Swarms - Analytical Approach

Guillaume Sartoretti, Max-Olivier Hongler

2013

Abstract

We analytically study the collective dynamics of mutually interacting heterogeneous agents evolving in a random environment. Our formal framework consists of a collection of N scalar drifted Brownian motions (BM) diffusing on R. The mutual interactions are introduced via a ranked-based, real-time mechanism always endowing the laggard (i.e the agent with the leftmost position) with an extra positive drift. The extra drift generates a net tendency for any agents not to remain the laggard of the society. For well chosen individual and extra laggard’s drifts, the agents organize with time to flock towards a tight and stable travelling spatial pattern. For a population of (N −1) identical agents and an atypical fellow (called hereafter the shill), we are able to analytically discuss the dynamics. In particular we exhibit how a single turbulent shill, stylized here by a ballistic diffusion process, can destroy the cohesion of a swarm. Conversely, we also analytically show how a single shill is able to safely pilot a whole swarm to avoid an obstacle, via interactions with its fellows. A series of simulations experiments comfort our analytic findings.

Paper Citation

in Harvard Style

Sartoretti G. and Hongler M. (2013). Soft Control of Swarms - Analytical Approach . In Proceedings of the 5th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART, ISBN 978-989-8565-38-9, pages 147-153. DOI: 10.5220/0004176301470153

in Bibtex Style

@conference{icaart13,
author={Guillaume Sartoretti and Max-Olivier Hongler},
title={Soft Control of Swarms - Analytical Approach},
booktitle={Proceedings of the 5th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,},
year={2013},
pages={147-153},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004176301470153},
isbn={978-989-8565-38-9},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 5th International Conference on Agents and Artificial Intelligence - Volume 1: ICAART,
TI - Soft Control of Swarms - Analytical Approach
SN - 978-989-8565-38-9
AU - Sartoretti G.
AU - Hongler M.
PY - 2013
SP - 147
EP - 153
DO - 10.5220/0004176301470153