Asymptotic methods in the stability analysis of parametrized homogeneous flows

DOI10.1016/S0005-1098(00)00031-5zbMath0959.37020OpenAlexW2039322919MaRDI QIDQ1576514

Luc Moreau, Dirk Aeyels

Publication date: 2 May 2001

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(00)00031-5

zbMATH Keywords

asymptotic stabilityasymptotic analysisparametrized homogeneous flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Unnamed Item
• An averaging theorem for time-periodic degree zero homogeneous differential equations
• Limit processes in ordinary differential equations
• Nilpotent and High-Order Approximations of Vector Field Systems
• Design of Homogeneous Time-Varying Stabilizing Control Laws for Driftless Controllable Systems Via Oscillatory Approximation of Lie Brackets in Closed Loop

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