IEICE TRANSACTIONS on transactions
An Analysis of Response Deviations Affected by Input- and Parameter-Fluctuations in Nonlinear Systems
Summary :
A method for analyzing the input- and parameter-sensitivities of a broad class of nonlinear continuous systems with nonlinear feedback couplings is proposed. This method is carried out first by formulating the problems in the form of nonlinear integral equations, and then evaluating the solutions by applying fixed point theorems in the appropriate Banach spaces. The actual analysis in this paper is accomplished for the entire function type of nonlinear integral equations, making use of Banach's contraction operator principle, Schauder's fixed point theorem for completely continuous operators and the Leray-Schauder rotation concept of completely continuous vector fields. These procedures can be regarded as systematic and simple even for practical analysis of complicated systems.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E59-E No.6 pp.1-6
- Publication Date
- 1976/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Circuits and Systems
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Kazuo HORIUCHI, "An Analysis of Response Deviations Affected by Input- and Parameter-Fluctuations in Nonlinear Systems" in IEICE TRANSACTIONS on transactions,
vol. E59-E, no. 6, pp. 1-6, June 1976, doi: .
Abstract: A method for analyzing the input- and parameter-sensitivities of a broad class of nonlinear continuous systems with nonlinear feedback couplings is proposed. This method is carried out first by formulating the problems in the form of nonlinear integral equations, and then evaluating the solutions by applying fixed point theorems in the appropriate Banach spaces. The actual analysis in this paper is accomplished for the entire function type of nonlinear integral equations, making use of Banach's contraction operator principle, Schauder's fixed point theorem for completely continuous operators and the Leray-Schauder rotation concept of completely continuous vector fields. These procedures can be regarded as systematic and simple even for practical analysis of complicated systems.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e59-e_6_1/_p
Copy
@ARTICLE{e59-e_6_1,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={An Analysis of Response Deviations Affected by Input- and Parameter-Fluctuations in Nonlinear Systems},
year={1976},
volume={E59-E},
number={6},
pages={1-6},
abstract={A method for analyzing the input- and parameter-sensitivities of a broad class of nonlinear continuous systems with nonlinear feedback couplings is proposed. This method is carried out first by formulating the problems in the form of nonlinear integral equations, and then evaluating the solutions by applying fixed point theorems in the appropriate Banach spaces. The actual analysis in this paper is accomplished for the entire function type of nonlinear integral equations, making use of Banach's contraction operator principle, Schauder's fixed point theorem for completely continuous operators and the Leray-Schauder rotation concept of completely continuous vector fields. These procedures can be regarded as systematic and simple even for practical analysis of complicated systems.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - An Analysis of Response Deviations Affected by Input- and Parameter-Fluctuations in Nonlinear Systems
T2 - IEICE TRANSACTIONS on transactions
SP - 1
EP - 6
AU - Kazuo HORIUCHI
PY - 1976
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E59-E
IS - 6
JA - IEICE TRANSACTIONS on transactions
Y1 - June 1976
AB - A method for analyzing the input- and parameter-sensitivities of a broad class of nonlinear continuous systems with nonlinear feedback couplings is proposed. This method is carried out first by formulating the problems in the form of nonlinear integral equations, and then evaluating the solutions by applying fixed point theorems in the appropriate Banach spaces. The actual analysis in this paper is accomplished for the entire function type of nonlinear integral equations, making use of Banach's contraction operator principle, Schauder's fixed point theorem for completely continuous operators and the Leray-Schauder rotation concept of completely continuous vector fields. These procedures can be regarded as systematic and simple even for practical analysis of complicated systems.
ER -
English
