Stability analysis of non-autonomous linear systems by a matrix decomposition method

DOI10.1080/00207728608926913zbMath0604.70049OpenAlexW2092673829MaRDI QIDQ3741151

Goodarz Ahmadi, S. Z. Abdel-Rahman

Publication date: 1986

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728608926913

zbMATH Keywords

stabilityMathieu equationtime-varying coefficientsasymptotic stability conditionsequilibrium statematrix decomposition methodnon-autonomous linear systemsparametrically excited multidegree-of- freedom system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability for nonlinear problems in mechanics (70K20)

Related Items (3)

New approach for the stability analysis of linear time-varying state-space models ⋮ Stability analysis of non-autonomous linear systems by a matrix decomposition method ⋮ Stability analysis of linear time-varying systems

Cites Work

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• Instability of parametric dynamic systems with non-uniform damping
• Stability analysis of non-autonomous linear systems by a matrix decomposition method
• A Procedure for Investigating the Liapunov Stability of Nonautonomous Linear Second-Order Systems

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