Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients

DOI10.1090/S0002-9939-10-10274-3zbMath1207.34069MaRDI QIDQ3574824

Masakazu Onitsuka, Jitsuro Sugie

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

linear systemsFloquet theoryuniform asymptotic stabilityintegrally positiveCoppel's criterion

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

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Rectifiability of solutions for a class of two-dimensional linear differential systems, Uniform asymptotic stability implies exponential stability for nonautonomous half-linear differential systems, Growth conditions for uniform asymptotic stability of damped oscillators, Global asymptotic stability for damped half-linear oscillators, Uniform asymptotic stability for damped linear oscillators with variable parameters, Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations, A necessary and sufficient condition for the global asymptotic stability of damped half-linear oscillators, Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems, Uniform global asymptotic stability for oscillators with superlinear damping, Uniform asymptotic stability of time-varying damped harmonic oscillators

Cites Work

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