It is generally thought to be difficult to construct the optimum control law for the non-linear systems. The number of research papers in this field is rather small, compared with those of the neighboring fields. Among them, Garrad's study of ε-perturbation to approximate the law, Nishikawa's study about quasi-optimal control and Ohkubo's proposal to approximate system's non-linearity by the tensor products should be put more importance. Yet it is still unknown whether the optimum feedback control law for any non-linear system exists or not. In this paper, the existence conditions of this control law for weak non-linear system, which is composed of linear quadratic part and weak non-linear one, are studied using the fixed point theorem. The non-linear part is contained in ε
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Yasunari SHIDAMA, Hiroo YAMAURA, Toyomi OHTA, "A Study of the Weak Non-linear Optimal Control Problem Using the Fixed Point Theorem" in IEICE TRANSACTIONS on transactions,
vol. E72-E, no. 12, pp. 1317-1325, December 1989, doi: .
Abstract: It is generally thought to be difficult to construct the optimum control law for the non-linear systems. The number of research papers in this field is rather small, compared with those of the neighboring fields. Among them, Garrad's study of ε-perturbation to approximate the law, Nishikawa's study about quasi-optimal control and Ohkubo's proposal to approximate system's non-linearity by the tensor products should be put more importance. Yet it is still unknown whether the optimum feedback control law for any non-linear system exists or not. In this paper, the existence conditions of this control law for weak non-linear system, which is composed of linear quadratic part and weak non-linear one, are studied using the fixed point theorem. The non-linear part is contained in ε
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e72-e_12_1317/_p
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@ARTICLE{e72-e_12_1317,
author={Yasunari SHIDAMA, Hiroo YAMAURA, Toyomi OHTA, },
journal={IEICE TRANSACTIONS on transactions},
title={A Study of the Weak Non-linear Optimal Control Problem Using the Fixed Point Theorem},
year={1989},
volume={E72-E},
number={12},
pages={1317-1325},
abstract={It is generally thought to be difficult to construct the optimum control law for the non-linear systems. The number of research papers in this field is rather small, compared with those of the neighboring fields. Among them, Garrad's study of ε-perturbation to approximate the law, Nishikawa's study about quasi-optimal control and Ohkubo's proposal to approximate system's non-linearity by the tensor products should be put more importance. Yet it is still unknown whether the optimum feedback control law for any non-linear system exists or not. In this paper, the existence conditions of this control law for weak non-linear system, which is composed of linear quadratic part and weak non-linear one, are studied using the fixed point theorem. The non-linear part is contained in ε
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - A Study of the Weak Non-linear Optimal Control Problem Using the Fixed Point Theorem
T2 - IEICE TRANSACTIONS on transactions
SP - 1317
EP - 1325
AU - Yasunari SHIDAMA
AU - Hiroo YAMAURA
AU - Toyomi OHTA
PY - 1989
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E72-E
IS - 12
JA - IEICE TRANSACTIONS on transactions
Y1 - December 1989
AB - It is generally thought to be difficult to construct the optimum control law for the non-linear systems. The number of research papers in this field is rather small, compared with those of the neighboring fields. Among them, Garrad's study of ε-perturbation to approximate the law, Nishikawa's study about quasi-optimal control and Ohkubo's proposal to approximate system's non-linearity by the tensor products should be put more importance. Yet it is still unknown whether the optimum feedback control law for any non-linear system exists or not. In this paper, the existence conditions of this control law for weak non-linear system, which is composed of linear quadratic part and weak non-linear one, are studied using the fixed point theorem. The non-linear part is contained in ε
ER -