In this paper, we shall describe about a refined theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. The deduction of theory is accomplished in a weak topology introduced into the Banach space. Fundamental conditions for availability of system behaviors of such network systems are clarified, as a result, in a form of fixed point theorem for system of set-valued operators.
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Kazuo HORIUCHI, "A Refined Theory for Available Operation of Extremely Complicated Large-Scale Network Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 10, pp. 2692-2696, October 2006, doi: 10.1093/ietfec/e89-a.10.2692.
Abstract: In this paper, we shall describe about a refined theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. The deduction of theory is accomplished in a weak topology introduced into the Banach space. Fundamental conditions for availability of system behaviors of such network systems are clarified, as a result, in a form of fixed point theorem for system of set-valued operators.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2692/_p
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@ARTICLE{e89-a_10_2692,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Refined Theory for Available Operation of Extremely Complicated Large-Scale Network Systems},
year={2006},
volume={E89-A},
number={10},
pages={2692-2696},
abstract={In this paper, we shall describe about a refined theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. The deduction of theory is accomplished in a weak topology introduced into the Banach space. Fundamental conditions for availability of system behaviors of such network systems are clarified, as a result, in a form of fixed point theorem for system of set-valued operators.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2692},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - A Refined Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2692
EP - 2696
AU - Kazuo HORIUCHI
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2692
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - In this paper, we shall describe about a refined theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. The deduction of theory is accomplished in a weak topology introduced into the Banach space. Fundamental conditions for availability of system behaviors of such network systems are clarified, as a result, in a form of fixed point theorem for system of set-valued operators.
ER -