Functional Analysis of Nonlinear System Fluctuations

Kazuo HORIUCHI

Functional Analysis of Nonlinear System Fluctuations

Kazuo HORIUCHI

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The fundamental methodologies derived from the functional analysis theory are discussed for the analysis of nonlinear system fluctuations. Starting from the orthodox methods based on the classical fixed point theorems, up to the newly proposed methods based on the fixed point theorems for set-valued functions, several kinds of methodology have been shown, in detail. In the latter half of this paper, clear descriptions are given for the tolerability and quasitolerability of the system fluctuation, the fail-safe principle in the wide sense, the stability and quasistability of the system, two standpoints in sensitivity analysis, and the tolerability and quasitolerability of the system model and simulation by model. Particularly, the new concepts of quasitolerability and quasistability are proposed for the wide utilization of the notion of system. The fail-safe principle in the wide sense is a new idea for security design of system. The recent rapid development of computers lets us expect that these new concepts may become truly important in the near future.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.6 pp.1353-1367

Publication Date: 1991/06/25

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Type of Manuscript: Special Section INVITED PAPER (Special Issue on Nonlinear Theory and Its Applications)

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Kazuo HORIUCHI

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Kazuo HORIUCHI, "Functional Analysis of Nonlinear System Fluctuations" in IEICE TRANSACTIONS on Fundamentals, vol. E74-A, no. 6, pp. 1353-1367, June 1991, doi: .
Abstract: The fundamental methodologies derived from the functional analysis theory are discussed for the analysis of nonlinear system fluctuations. Starting from the orthodox methods based on the classical fixed point theorems, up to the newly proposed methods based on the fixed point theorems for set-valued functions, several kinds of methodology have been shown, in detail. In the latter half of this paper, clear descriptions are given for the tolerability and quasitolerability of the system fluctuation, the fail-safe principle in the wide sense, the stability and quasistability of the system, two standpoints in sensitivity analysis, and the tolerability and quasitolerability of the system model and simulation by model. Particularly, the new concepts of quasitolerability and quasistability are proposed for the wide utilization of the notion of system. The fail-safe principle in the wide sense is a new idea for security design of system. The recent rapid development of computers lets us expect that these new concepts may become truly important in the near future.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e74-a_6_1353/_p

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@ARTICLE{e74-a_6_1353,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Functional Analysis of Nonlinear System Fluctuations},
year={1991},
volume={E74-A},
number={6},
pages={1353-1367},
abstract={The fundamental methodologies derived from the functional analysis theory are discussed for the analysis of nonlinear system fluctuations. Starting from the orthodox methods based on the classical fixed point theorems, up to the newly proposed methods based on the fixed point theorems for set-valued functions, several kinds of methodology have been shown, in detail. In the latter half of this paper, clear descriptions are given for the tolerability and quasitolerability of the system fluctuation, the fail-safe principle in the wide sense, the stability and quasistability of the system, two standpoints in sensitivity analysis, and the tolerability and quasitolerability of the system model and simulation by model. Particularly, the new concepts of quasitolerability and quasistability are proposed for the wide utilization of the notion of system. The fail-safe principle in the wide sense is a new idea for security design of system. The recent rapid development of computers lets us expect that these new concepts may become truly important in the near future.},
keywords={},
doi={},
ISSN={},
month={June},}

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TY - JOUR
TI - Functional Analysis of Nonlinear System Fluctuations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1353
EP - 1367
AU - Kazuo HORIUCHI
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1991
AB - The fundamental methodologies derived from the functional analysis theory are discussed for the analysis of nonlinear system fluctuations. Starting from the orthodox methods based on the classical fixed point theorems, up to the newly proposed methods based on the fixed point theorems for set-valued functions, several kinds of methodology have been shown, in detail. In the latter half of this paper, clear descriptions are given for the tolerability and quasitolerability of the system fluctuation, the fail-safe principle in the wide sense, the stability and quasistability of the system, two standpoints in sensitivity analysis, and the tolerability and quasitolerability of the system model and simulation by model. Particularly, the new concepts of quasitolerability and quasistability are proposed for the wide utilization of the notion of system. The fail-safe principle in the wide sense is a new idea for security design of system. The recent rapid development of computers lets us expect that these new concepts may become truly important in the near future.
ER -