Influence of anti-diagonals on the asymptotic stability for linear differential systems

DOI10.1007/s00605-008-0030-xzbMath1176.34063OpenAlexW2012244969MaRDI QIDQ1027753

Jitsuro Sugie

Publication date: 30 June 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0030-x

zbMATH Keywords

asymptotic stabilitylinear differential systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30)

Related Items (11)

Asymptotic stability for three-dimensional linear differential systems with time-varying coefficients ⋮ Three-dimensional time-varying nonlinear systems containing a Hamilton system ⋮ Parameter diagram for global asymptotic stability of damped half-linear oscillators ⋮ Global asymptotic stability for predator-prey models with environmental time-variations ⋮ Sufficient conditions for convergence of solutions of damped elliptic equations ⋮ Global attractivity for half-linear differential systems with periodic coefficients ⋮ Uniform global asymptotic stability for oscillators with superlinear damping ⋮ Global asymptotic stability for predator-prey systems whose prey receives time-variation of the environment ⋮ Attractivity for two-dimensional linear systems whose anti-diagonal coefficients are periodic ⋮ Smith-type criterion for the asymptotic stability of a pendulum with time-dependent damping ⋮ Uniform asymptotic stability of time-varying damped harmonic oscillators

Cites Work

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• On the asymptotic stability by nondecrescent Ljapunov function
• On stability of linear time-varying second-order differential equations
• Asymptotic Stability for Intermittently Controlled Nonlinear Oscillators
• On the asymptotic stability for a two-dimensional linear nonautonomous differential system
• Integral conditions on the asymptotic stability for the damped linear oscillator with small damping

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