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A non-quadratic criterion for stability of forced oscillations

Article ID Journal Published Year Pages File Type
752393 Systems & Control Letters 2013 5 Pages PDF
Abstract

A new test for stability of forced oscillations in nonlinear systems is proposed. The result is illustrated by an example of a saturated PI-control of an integrator with a harmonic reference signal. The range of frequencies and amplitudes that guarantee stability of the corresponding oscillations is found.

Keywords
Lyapunov stabilityIncremental stabilityTime-varying systemsConvergent systems
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
Preview
A non-quadratic criterion for stability of forced oscillations
Authors
A.Y. Pogromsky, A.S. Matveev,
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Systems & Control Letters
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