IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics), volume 35, issue 4, pages 834-841
Stability of a One-Dimensional Discrete-Time Asynchronous Swarm
1
Department of Electrical Engineering, Ohio State Uinversity, Columbus, OH, USA
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3
Department of Electrical and Computer Engineering, Ohio State Uinversity, Columbus, OH, USA
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Publication type: Journal Article
Publication date: 2005-08-01
SJR: —
CiteScore: —
Impact factor: —
ISSN: 10834419, 19410492
Computer Science Applications
General Medicine
Electrical and Electronic Engineering
Information Systems
Software
Control and Systems Engineering
Human-Computer Interaction
Abstract
In this correspondence, we consider a discrete time one-dimensional asynchronous swarm. First, we describe the mathematical model for motions of the swarm members. Then, we analyze the stability properties of that model. The stability concept that we consider, which matches exactly with stability of equilibria in control theory, characterizes stability of a particular position (relative arrangement) of the swarm members. We call that position the comfortable position (with comfortable intermember distances). Our swarm model and stability analysis are different from other asynchronous swarm models considered in the literature. In particular, in our analysis we employ results on contractive mappings from the parallel and distributed computation literature. The application of these results to the swarm coordination problem is important by itself since they might prove useful also in n-dimensional swarms.
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Gaži V., Passino K. M. Stability of a One-Dimensional Discrete-Time Asynchronous Swarm // IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics). 2005. Vol. 35. No. 4. pp. 834-841.
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Gaži V., Passino K. M. Stability of a One-Dimensional Discrete-Time Asynchronous Swarm // IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics). 2005. Vol. 35. No. 4. pp. 834-841.
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TY - JOUR
DO - 10.1109/tsmcb.2005.845393
UR - https://doi.org/10.1109/tsmcb.2005.845393
TI - Stability of a One-Dimensional Discrete-Time Asynchronous Swarm
T2 - IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)
AU - Gaži, V.
AU - Passino, K M
PY - 2005
DA - 2005/08/01
PB - Institute of Electrical and Electronics Engineers (IEEE)
SP - 834-841
IS - 4
VL - 35
SN - 1083-4419
SN - 1941-0492
ER -
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BibTex (up to 50 authors)
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@article{2005_Gaži,
author = {V. Gaži and K M Passino},
title = {Stability of a One-Dimensional Discrete-Time Asynchronous Swarm},
journal = {IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics)},
year = {2005},
volume = {35},
publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
month = {aug},
url = {https://doi.org/10.1109/tsmcb.2005.845393},
number = {4},
pages = {834--841},
doi = {10.1109/tsmcb.2005.845393}
}
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Gaži, V., et al. “Stability of a One-Dimensional Discrete-Time Asynchronous Swarm.” IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics), vol. 35, no. 4, Aug. 2005, pp. 834-841. https://doi.org/10.1109/tsmcb.2005.845393.