Vibrational control of singularly perturbed systems

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DOI10.1007/BFB0110317zbMath0997.93065MaRDI QIDQ2709093

Klaus R. Schneider

Publication date: 4 November 2002

Published in: Nonlinear control in the year 2000 volume 2 (Search for Journal in Brave)

zbMATH Keywords

normal form periodic oscillations inverted pendulum averaging method vibrational control singularly perturbed differential equations exponentially attracting periodic solution weak and strong vibrational stabilizability

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Averaging method for ordinary differential equations (34C29) Invariant manifolds for ordinary differential equations (34C45)

Related Items (1)

Existence of periodic solutions of a ordinary differential equation perturbed by a small parameter: An averaging approach

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