Publication

Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces

Willems, J. C., 1981, In : IEEE Transactions on Automatic Control. 26, 1, p. 235-252 18 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Willems, J. C. (1981). Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces. IEEE Transactions on Automatic Control, 26(1), 235-252. https://doi.org/10.1109/TAC.1981.1102551

Author

Willems, J. C. / Almost invariant subspaces : An approach to high gain feedback design--Part I: Almost controlled invariant subspaces. In: IEEE Transactions on Automatic Control. 1981 ; Vol. 26, No. 1. pp. 235-252.

Harvard

Willems, JC 1981, 'Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces', IEEE Transactions on Automatic Control, vol. 26, no. 1, pp. 235-252. https://doi.org/10.1109/TAC.1981.1102551

Standard

Almost invariant subspaces : An approach to high gain feedback design--Part I: Almost controlled invariant subspaces. / Willems, J. C.

In: IEEE Transactions on Automatic Control, Vol. 26, No. 1, 1981, p. 235-252.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Willems JC. Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces. IEEE Transactions on Automatic Control. 1981;26(1):235-252. https://doi.org/10.1109/TAC.1981.1102551


BibTeX

@article{8cdc2876765848f485ed1e2ba8b26821,
title = "Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces",
abstract = "In a previous paper we have introduced the notion of {"}almost controlled invariant subspaces{"} which are subspaces to which one can steer the state of a linear system arbitrarily close. In the present paper we will show how these subspaces my be viewed as ordinary controlled invariant subspaces when one allows distributional inputs, or as those subspaces which can be approximated by controlled invariant subspaces. The results are applied to a number of control synthesis problems, i.e., disturbance decoupling, robustness, noisy gain stabilization, and cheap control. Part II of the paper will treat the dual theory of almost conditionally invariant subspaces.",
author = "Willems, {J. C.}",
year = "1981",
doi = "10.1109/TAC.1981.1102551",
language = "English",
volume = "26",
pages = "235--252",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",
number = "1",

}

RIS

TY - JOUR

T1 - Almost invariant subspaces

T2 - An approach to high gain feedback design--Part I: Almost controlled invariant subspaces

AU - Willems, J. C.

PY - 1981

Y1 - 1981

N2 - In a previous paper we have introduced the notion of "almost controlled invariant subspaces" which are subspaces to which one can steer the state of a linear system arbitrarily close. In the present paper we will show how these subspaces my be viewed as ordinary controlled invariant subspaces when one allows distributional inputs, or as those subspaces which can be approximated by controlled invariant subspaces. The results are applied to a number of control synthesis problems, i.e., disturbance decoupling, robustness, noisy gain stabilization, and cheap control. Part II of the paper will treat the dual theory of almost conditionally invariant subspaces.

AB - In a previous paper we have introduced the notion of "almost controlled invariant subspaces" which are subspaces to which one can steer the state of a linear system arbitrarily close. In the present paper we will show how these subspaces my be viewed as ordinary controlled invariant subspaces when one allows distributional inputs, or as those subspaces which can be approximated by controlled invariant subspaces. The results are applied to a number of control synthesis problems, i.e., disturbance decoupling, robustness, noisy gain stabilization, and cheap control. Part II of the paper will treat the dual theory of almost conditionally invariant subspaces.

U2 - 10.1109/TAC.1981.1102551

DO - 10.1109/TAC.1981.1102551

M3 - Article

VL - 26

SP - 235

EP - 252

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

IS - 1

ER -

ID: 6089303