A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems

Kazuo HORIUCHI

doi:10.1093/ietfec/e90-a.10.2232

A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems

Kazuo HORIUCHI

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In this paper, we shall describe about a basic theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued operators. Here, the proof of this theorem is accomplished by the concept of Hausdorff's ball measure of non-compactness.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.10 pp.2232-2238

Publication Date: 2007/10/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e90-a.10.2232

Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

Category: Systems Theory and Control

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Kazuo HORIUCHI, "A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems" in IEICE TRANSACTIONS on Fundamentals, vol. E90-A, no. 10, pp. 2232-2238, October 2007, doi: 10.1093/ietfec/e90-a.10.2232.
Abstract: In this paper, we shall describe about a basic theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued operators. Here, the proof of this theorem is accomplished by the concept of Hausdorff's ball measure of non-compactness.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.10.2232/_p

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@ARTICLE{e90-a_10_2232,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems},
year={2007},
volume={E90-A},
number={10},
pages={2232-2238},
abstract={In this paper, we shall describe about a basic theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued operators. Here, the proof of this theorem is accomplished by the concept of Hausdorff's ball measure of non-compactness.},
keywords={},
doi={10.1093/ietfec/e90-a.10.2232},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - A Basic Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2232
EP - 2238
AU - Kazuo HORIUCHI
PY - 2007
DO - 10.1093/ietfec/e90-a.10.2232
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2007
AB - In this paper, we shall describe about a basic theory based on the concept of set-valued operators, suitable for available operation of extremely complicated large-scale network systems. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of fixed point theorem for system of set-valued operators. Here, the proof of this theorem is accomplished by the concept of Hausdorff's ball measure of non-compactness.
ER -