On the Lyapunov exponents of a class of second-order discrete time linear systems with bounded perturbations

Adam Czornik; Aleksander Nawrat; Michał Niezabitowski

doi:10.1080/14689367.2012.748718

On the Lyapunov exponents of a class of second-order discrete time linear systems with bounded perturbations

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

In this note we describe the maximal and the minimal values of Lyapunov exponents for second-order discrete time-invariant linear system perturbed by time-varying bounded perturbations. An interpretation of the results in terms of generalized spectral radius is given. An application of obtained formulas to the robust stability problem is demonstrated on a numerical example.

Język oryginału	angielski
Strony (od–do)	473-483
Liczba stron	11
Czasopismo	Dynamical Systems
Tom	28
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1080/14689367.2012.748718
Status publikacji	Opublikowano - 1 gru 2013

Obszary tematyczne ASJC Scopus

Matematyka ogólna
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10.1080/14689367.2012.748718

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abstract = "In this note we describe the maximal and the minimal values of Lyapunov exponents for second-order discrete time-invariant linear system perturbed by time-varying bounded perturbations. An interpretation of the results in terms of generalized spectral radius is given. An application of obtained formulas to the robust stability problem is demonstrated on a numerical example.",

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N2 - In this note we describe the maximal and the minimal values of Lyapunov exponents for second-order discrete time-invariant linear system perturbed by time-varying bounded perturbations. An interpretation of the results in terms of generalized spectral radius is given. An application of obtained formulas to the robust stability problem is demonstrated on a numerical example.

AB - In this note we describe the maximal and the minimal values of Lyapunov exponents for second-order discrete time-invariant linear system perturbed by time-varying bounded perturbations. An interpretation of the results in terms of generalized spectral radius is given. An application of obtained formulas to the robust stability problem is demonstrated on a numerical example.

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KW - generalized spectral radius

KW - robust stability

KW - time-varying discrete linear systems

UR - https://www.scopus.com/pages/publications/84887826082

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On the Lyapunov exponents of a class of second-order discrete time linear systems with bounded perturbations

Abstrakt

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