Geodesic
Discrete procedure of optimal stabilization for periodic linear systems of differential equations
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 891-906 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose procedure to solve the optimal stabilization problem for linear periodic systems of differential equations. Stabilizing controls, formed as a feedback, are defined by the system states at the fixed instants of time. Equivalent discrete-time linear periodic problem of optimal stabilization is considered. We propose a special procedure for the solution of discrete periodic Riccati equation. We investigate the relation between continuous-time and discrete-time periodic optimal stabilization problems. The proposed method is used for stabilization of mechanical systems.
Keywords: linear periodic system, discrete-time periodic optimal stabilization problem, discrete periodic Riccati equation. 
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R. I. Shevchenko; Yu. F. Dolgii. Discrete procedure of optimal stabilization for periodic linear systems of differential equations. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 891-906. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a30/

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