An averaging theorem for time-periodic degree zero homogeneous differential equations

DOI10.1016/S0167-6911(97)00070-4zbMath0902.34037OpenAlexW2031088914MaRDI QIDQ1127405

Robert T. M'Closkey

Publication date: 13 August 1998

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(97)00070-4

zbMATH Keywords

stabilitydilationaveraginghomogeneoustime-periodicdegree zero vector fieldnon-Lipschitzian

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Stability of periodic solutions for Lipschitz systems obtained via the averaging method ⋮ Averaging techniques without requiring a fast time-varying differential equation ⋮ Exponential stability and partial averaging. ⋮ A sufficient condition for the uniform exponential stability of time-varying systems with noise. ⋮ Weak exponential stability for time-periodic differential inclusions via first approximation averaging ⋮ Robustness of exponential stability to singular perturbations and delays ⋮ Asymptotic methods in the stability analysis of parametrized homogeneous flows ⋮ A duality principle for homogeneous vectorfields with applications.

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