A mathematical theory is proposed based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.
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Kazuo HORIUCHI, "A Revised Theory for Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 2, pp. 509-510, February 2004, doi: .
Abstract: A mathematical theory is proposed based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_2_509/_p
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@ARTICLE{e87-a_2_509,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Revised Theory for Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales},
year={2004},
volume={E87-A},
number={2},
pages={509-510},
abstract={A mathematical theory is proposed based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - A Revised Theory for Operation of Network Systems Extraordinarily Complicated and Diversified on Large-Scales
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 509
EP - 510
AU - Kazuo HORIUCHI
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2004
AB - A mathematical theory is proposed based on the concept of functional analysis, suitable for operation of network systems extraordinarily complicated and diversified on large scales, through connected-block structures. Fundamental conditions for existence and evaluation of system behaviors of such network systems are obtained in a form of fixed point theorem for system of nonlinear mappings.
ER -