Standard

Exponential feedback passivity and stabilizability of nonlinear systems. / Fradkov, Alexander L.; Hill, David J.

In: Automatica, Vol. 34, No. 6, 06.1998, p. 697-703.

Research output: Contribution to journal › Article › peer-review

Harvard

Fradkov, AL & Hill, DJ 1998, 'Exponential feedback passivity and stabilizability of nonlinear systems', Automatica, vol. 34, no. 6, pp. 697-703. https://doi.org/10.1016/S0005-1098(97)00230-6

APA

Fradkov, A. L., & Hill, D. J. (1998). Exponential feedback passivity and stabilizability of nonlinear systems. Automatica, 34(6), 697-703. https://doi.org/10.1016/S0005-1098(97)00230-6

Vancouver

Fradkov AL, Hill DJ. Exponential feedback passivity and stabilizability of nonlinear systems. Automatica. 1998 Jun;34(6):697-703. https://doi.org/10.1016/S0005-1098(97)00230-6

Author

Fradkov, Alexander L. ; Hill, David J. / Exponential feedback passivity and stabilizability of nonlinear systems. In: Automatica. 1998 ; Vol. 34, No. 6. pp. 697-703.

BibTeX

@article{8af506985f6d41bb9dd3bbbc07a699dd,
title = "Exponential feedback passivity and stabilizability of nonlinear systems",
abstract = "Motivated by N. Krasovskii's characterisation of exponential stability, the concept of exponential passivity is introduced. It is shown that to make a nonlinear system with factorisable high-frequency gain matrix exponentially passive via either state or output feedback, exponential minimum phaseness and invertibility conditions are necessary and sufficient. These conditions also guarantee exponential output feedback stabilisability. This result extends previous results concerning linear systems.",
keywords = "Exponential passivity, Exponential stability, Nonlinear systems",
author = "Fradkov, {Alexander L.} and Hill, {David J.}",
year = "1998",
month = jun,
doi = "10.1016/S0005-1098(97)00230-6",
language = "English",
volume = "34",
pages = "697--703",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier",
number = "6",

}

RIS

TY - JOUR

T1 - Exponential feedback passivity and stabilizability of nonlinear systems

AU - Fradkov, Alexander L.

AU - Hill, David J.

PY - 1998/6

Y1 - 1998/6

N2 - Motivated by N. Krasovskii's characterisation of exponential stability, the concept of exponential passivity is introduced. It is shown that to make a nonlinear system with factorisable high-frequency gain matrix exponentially passive via either state or output feedback, exponential minimum phaseness and invertibility conditions are necessary and sufficient. These conditions also guarantee exponential output feedback stabilisability. This result extends previous results concerning linear systems.

AB - Motivated by N. Krasovskii's characterisation of exponential stability, the concept of exponential passivity is introduced. It is shown that to make a nonlinear system with factorisable high-frequency gain matrix exponentially passive via either state or output feedback, exponential minimum phaseness and invertibility conditions are necessary and sufficient. These conditions also guarantee exponential output feedback stabilisability. This result extends previous results concerning linear systems.

KW - Exponential passivity

KW - Exponential stability

KW - Nonlinear systems

UR - http://www.scopus.com/inward/record.url?scp=0032090303&partnerID=8YFLogxK

U2 - 10.1016/S0005-1098(97)00230-6

DO - 10.1016/S0005-1098(97)00230-6

M3 - Article

AN - SCOPUS:0032090303

VL - 34

SP - 697

EP - 703

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 6

ER -

ID: 91961093