Averaging techniques without requiring a fast time-varying differential equation

DOI10.1016/J.AUTOMATICA.2010.10.039zbMath1221.34147OpenAlexW2051618536WikidataQ115360116 ScholiaQ115360116MaRDI QIDQ629073

Joan Peuteman, Dirk Aeyels

Publication date: 8 March 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-1232198

zbMATH Keywords

asymptotic stabilityLyapunov methodaveraging

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29)

Related Items (5)

Delay-independent stability conditions for a class of nonlinear difference systems ⋮ Partial stability analysis of nonlinear nonstationary systems via averaging ⋮ Uniform ultimate boundedness of nonlinear nonstationary systems ⋮ Uniaxial attitude stabilization of a rigid body under conditions of nonstationary perturbations with zero mean values ⋮ Averaging method for the stability analysis of strongly nonlinear mechanical systems

Cites Work

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• Averaging of nonsmooth systems using dither
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• An averaging theorem for time-periodic degree zero homogeneous differential equations
• On exponential stability of nonlinear time-varying differential equations
• Semi-global practical asymptotic stability and averaging
• Averaging Results and the Study of Uniform Asymptotic Stability of Homogeneous Differential Equations That Are Not Fast Time-Varying

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