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IssuesArchive of Issues2019-5pp.623-631

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V.I. Slyn'ko, "Stabilization Algorithm for Periodic Affine Systems," Mech. Solids. 54 (5), 623-631 (2019)
Year 2019 Volume 54 Number 5 Pages 623-631
DOI 10.3103/S0025654419050170
Title Stabilization Algorithm for Periodic Affine Systems
Author(s) V.I. Slyn'ko (Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, 03057 Ukraine, vitstab@ukr.net)
Abstract In this paper, we propose a stabilization algorithm for affine periodic systems. Linear feedback with a variable matrix that is a periodic and piecewise-constant function of time is synthesized. An example of damping resonant parametric oscillations of a linear oscillator is provided.
Keywords stabilization algorithm, affine system with periodic coefficients, piecewise differentiable Lyapunov function, Lyapunov stability
Received 07 October 2018Revised 25 February 2019Accepted 19 March 2019
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