IEICE TRANSACTIONS on Fundamentals
A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales
Summary :
In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. 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 mappings.
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- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.9 pp.2078-2083
- Publication Date
- 2001/09/01
- Publicized
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- Type of Manuscript
- Special Section INVITED PAPER (Special Section on Nonlinear Theory and its Applications)
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Kazuo HORIUCHI, "A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 9, pp. 2078-2083, September 2001, doi: .
Abstract: In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. 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 mappings.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_9_2078/_p
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@ARTICLE{e84-a_9_2078,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales},
year={2001},
volume={E84-A},
number={9},
pages={2078-2083},
abstract={In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. 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 mappings.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - A Mathematical Theory for Available Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2078
EP - 2083
AU - Kazuo HORIUCHI
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2001
AB - In this paper, we shall construct mathematical theory based on the concept of set-valued mappings, suitable for available operation of network systems extraordinarily complicated and diversified on large scales. 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 mappings.
ER -
English
