The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
La présente lettre propose une procédure de conception pour induire la synchronisation dans des réseaux cartographiques unidimensionnels à couplage retardé. Nous supposons la situation pratique où le délai de connexion, les informations détaillées sur la topologie du réseau et le nombre de cartes sont inconnus à l'avance. Dans une telle situation, il est difficile de garantir la stabilité de la synchronisation, puisque la stabilité locale d'une variété synchronisée est équivalente à celle d'un système linéaire variable dans le temps. Une condition suffisante dans la théorie du contrôle robuste nous aide à dériver une procédure de conception simple. La validité de notre procédure de conception est confirmée numériquement.
Yoshiki SUGITANI
Ibaraki University
Keiji KONISHI
Osaka Prefecture University
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Yoshiki SUGITANI, Keiji KONISHI, "Delay-Independent Design for Synchronization in Delayed-Coupled One-Dimensional Map Networks" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 10, pp. 1708-1712, October 2018, doi: 10.1587/transfun.E101.A.1708.
Abstract: The present Letter proposes a design procedure for inducing synchronization in delayed-coupled one-dimensional map networks. We assume the practical situation where the connection delay, the detailed information about the network topology, and the number of the maps are unknown in advance. In such a situation, it is difficult to guarantee the stability of synchronization, since the local stability of a synchronized manifold is equivalent to that of a linear time-variant system. A sufficient condition in robust control theory helps us to derive a simple design procedure. The validity of our design procedure is numerically confirmed.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1708/_p
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@ARTICLE{e101-a_10_1708,
author={Yoshiki SUGITANI, Keiji KONISHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Delay-Independent Design for Synchronization in Delayed-Coupled One-Dimensional Map Networks},
year={2018},
volume={E101-A},
number={10},
pages={1708-1712},
abstract={The present Letter proposes a design procedure for inducing synchronization in delayed-coupled one-dimensional map networks. We assume the practical situation where the connection delay, the detailed information about the network topology, and the number of the maps are unknown in advance. In such a situation, it is difficult to guarantee the stability of synchronization, since the local stability of a synchronized manifold is equivalent to that of a linear time-variant system. A sufficient condition in robust control theory helps us to derive a simple design procedure. The validity of our design procedure is numerically confirmed.},
keywords={},
doi={10.1587/transfun.E101.A.1708},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - Delay-Independent Design for Synchronization in Delayed-Coupled One-Dimensional Map Networks
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1708
EP - 1712
AU - Yoshiki SUGITANI
AU - Keiji KONISHI
PY - 2018
DO - 10.1587/transfun.E101.A.1708
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2018
AB - The present Letter proposes a design procedure for inducing synchronization in delayed-coupled one-dimensional map networks. We assume the practical situation where the connection delay, the detailed information about the network topology, and the number of the maps are unknown in advance. In such a situation, it is difficult to guarantee the stability of synchronization, since the local stability of a synchronized manifold is equivalent to that of a linear time-variant system. A sufficient condition in robust control theory helps us to derive a simple design procedure. The validity of our design procedure is numerically confirmed.
ER -