Standard

A nonlinear philosophy for nonlinear systems. / Fradkov, A.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 5, 2000, p. 4397-4402.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Fradkov, A 2000, 'A nonlinear philosophy for nonlinear systems', Proceedings of the IEEE Conference on Decision and Control, vol. 5, pp. 4397-4402.

APA

Fradkov, A. (2000). A nonlinear philosophy for nonlinear systems. Proceedings of the IEEE Conference on Decision and Control, 5, 4397-4402.

Vancouver

Fradkov A. A nonlinear philosophy for nonlinear systems. Proceedings of the IEEE Conference on Decision and Control. 2000;5:4397-4402.

Author

Fradkov, A. / A nonlinear philosophy for nonlinear systems. In: Proceedings of the IEEE Conference on Decision and Control. 2000 ; Vol. 5. pp. 4397-4402.

BibTeX

@article{4788a7a4a1224c839abfa385bd4dcff3,
title = "A nonlinear philosophy for nonlinear systems",
abstract = "A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index - a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur's systems. Speed-Gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established.",
keywords = "Excitability, Nonlinear systems, Passivity, Stability",
author = "A. Fradkov",
year = "2000",
language = "English",
volume = "5",
pages = "4397--4402",
journal = "Proceedings of the IEEE Conference on Decision and Control",
issn = "0191-2216",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
note = "39th IEEE Confernce on Decision and Control ; Conference date: 12-12-2000 Through 15-12-2000",

}

RIS

TY - JOUR

T1 - A nonlinear philosophy for nonlinear systems

AU - Fradkov, A.

PY - 2000

Y1 - 2000

N2 - A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index - a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur's systems. Speed-Gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established.

AB - A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index - a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur's systems. Speed-Gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established.

KW - Excitability

KW - Nonlinear systems

KW - Passivity

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=0034445117&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0034445117

VL - 5

SP - 4397

EP - 4402

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

T2 - 39th IEEE Confernce on Decision and Control

Y2 - 12 December 2000 through 15 December 2000

ER -

ID: 88361250