Geodesic
Optimal stabilization of linear periodic finite-dimensional systems of differential equations with aftereffect
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 87-98

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The problem of optimal stabilization is studied for linear periodic finite-dimensional systems with aftereffect. The class of admissible controls is limited to piecewise constant feedback controls formed at discrete times. It is shown that the problem under investigation is equivalent to a stabilization problem for a linear system of difference equations.
Keywords: optimal stabilization, linear periodic finite-dimensional system of differential equations, aftereffect, feedback control. 
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     title = {Optimal stabilization of linear periodic finite-dimensional systems of differential equations with aftereffect},
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Yu. F. Dolgii; E. V. Koshkin. Optimal stabilization of linear periodic finite-dimensional systems of differential equations with aftereffect. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 1, pp. 87-98. http://geodesic.mathdoc.fr/item/TIMM_2013_19_1_a8/