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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 2018 | Revised |
25 February 2019 | Accepted |
19 March 2019 |
| Link to Fulltext |
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