Stability analysis via averaging functions

S. Pogromskiy, A.S. Matveev

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

7 Citaties (Scopus)

Uittreksel

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.

TaalEngels
Artikelnummer7163531
Pagina's1081-1086
Aantal pagina's6
TijdschriftIEEE Transactions on Automatic Control
Volume61
Nummer van het tijdschrift4
DOI's
StatusGepubliceerd - 1 apr 2016

Vingerafdruk

Lyapunov functions
Stability criteria
Nonlinear systems

Trefwoorden

    Citeer dit

    Pogromskiy, S. ; Matveev, A.S./ Stability analysis via averaging functions. In: IEEE Transactions on Automatic Control. 2016 ; Vol. 61, Nr. 4. blz. 1081-1086
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    Stability analysis via averaging functions. / Pogromskiy, S.; Matveev, A.S.

    In: IEEE Transactions on Automatic Control, Vol. 61, Nr. 4, 7163531, 01.04.2016, blz. 1081-1086.

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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    Pogromskiy S, Matveev AS. Stability analysis via averaging functions. IEEE Transactions on Automatic Control. 2016 apr 1;61(4):1081-1086. 7163531. Beschikbaar vanaf, DOI: 10.1109/TAC.2015.2459152