Publication

Controlled Invariance for Nonlinear Systems

Nijmeijer, H. & Schaft, A. V. D., 1982, In : IEEE Transactions on Automatic Control. 11 p.

Research output: Contribution to journalArticleAcademic

APA

Nijmeijer, H., & Schaft, A. V. D. (1982). Controlled Invariance for Nonlinear Systems. IEEE Transactions on Automatic Control.

Author

Nijmeijer, Henk ; Schaft, Arjan van der. / Controlled Invariance for Nonlinear Systems. In: IEEE Transactions on Automatic Control. 1982.

Harvard

Nijmeijer, H & Schaft, AVD 1982, 'Controlled Invariance for Nonlinear Systems', IEEE Transactions on Automatic Control.

Standard

Controlled Invariance for Nonlinear Systems. / Nijmeijer, Henk; Schaft, Arjan van der.

In: IEEE Transactions on Automatic Control, 1982.

Research output: Contribution to journalArticleAcademic

Vancouver

Nijmeijer H, Schaft AVD. Controlled Invariance for Nonlinear Systems. IEEE Transactions on Automatic Control. 1982.


BibTeX

@article{8790eebb8e484ae7ad35960505ea594a,
title = "Controlled Invariance for Nonlinear Systems",
abstract = "Necessary and sufficient conditions are derived for {"}(A, B)-invariance,{"} called here controlled invariance, for nonlinear systems x˙ = f(x, u). The obtained results generalize and elucidate already known results about systems x˙ = A(x)-Σmi=1 uiBi(x). A new and direct differential geometric interpretation of the concept of controlled invariance and the derived conditions is given.",
author = "Henk Nijmeijer and Schaft, {Arjan van der}",
note = "Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science",
year = "1982",
language = "English",
journal = "IEEE-Transactions on Automatic Control",
issn = "0018-9286",
publisher = "IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC",

}

RIS

TY - JOUR

T1 - Controlled Invariance for Nonlinear Systems

AU - Nijmeijer, Henk

AU - Schaft, Arjan van der

N1 - Relation: https://www.rug.nl/informatica/onderzoek/bernoulli Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

PY - 1982

Y1 - 1982

N2 - Necessary and sufficient conditions are derived for "(A, B)-invariance," called here controlled invariance, for nonlinear systems x˙ = f(x, u). The obtained results generalize and elucidate already known results about systems x˙ = A(x)-Σmi=1 uiBi(x). A new and direct differential geometric interpretation of the concept of controlled invariance and the derived conditions is given.

AB - Necessary and sufficient conditions are derived for "(A, B)-invariance," called here controlled invariance, for nonlinear systems x˙ = f(x, u). The obtained results generalize and elucidate already known results about systems x˙ = A(x)-Σmi=1 uiBi(x). A new and direct differential geometric interpretation of the concept of controlled invariance and the derived conditions is given.

M3 - Article

JO - IEEE-Transactions on Automatic Control

JF - IEEE-Transactions on Automatic Control

SN - 0018-9286

ER -

ID: 3425502