Stability analysis via averaging functions

S. Pogromskiy; A.S. Matveev

doi:10.1109/TAC.2015.2459152

Stability analysis via averaging functions

S. Pogromskiy
, A.S. Matveev

Dynamics and Control

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

16 Citaten (Scopus)

13 Downloads (Pure)

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A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear systems. This class of Lyapunov functions allows to establish input-dependent incremental stability criteria. Two substantially different situations are considered: when incremental stability is guaranteed by the inputs of sufficiently small amplitude and when, similar to the excited van der Pol oscillator, the stability is induced by sufficiently large inputs.

Originele taal-2	Engels
Artikelnummer	7163531
Pagina's (van-tot)	1081-1086
Aantal pagina's	6
Tijdschrift	IEEE Transactions on Automatic Control
Volume	61
Nummer van het tijdschrift	4
DOI's	https://doi.org/10.1109/TAC.2015.2459152
Status	Gepubliceerd - 1 apr. 2016

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title = "Stability analysis via averaging functions",

abstract = "A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear systems. This class of Lyapunov functions allows to establish input-dependent incremental stability criteria. Two substantially different situations are considered: when incremental stability is guaranteed by the inputs of sufficiently small amplitude and when, similar to the excited van der Pol oscillator, the stability is induced by sufficiently large inputs.",

keywords = "Lyapunov methods, nonlinear systems, stability criteria",

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AB - A new class of Lyapunov functions is proposed for analysis of incremental stability for nonlinear systems. This class of Lyapunov functions allows to establish input-dependent incremental stability criteria. Two substantially different situations are considered: when incremental stability is guaranteed by the inputs of sufficiently small amplitude and when, similar to the excited van der Pol oscillator, the stability is induced by sufficiently large inputs.

KW - Lyapunov methods

KW - nonlinear systems

KW - stability criteria

UR - https://www.scopus.com/pages/publications/84963831029

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Stability analysis via averaging functions

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