Geodesic
Stabilizing controller for one linear discrete system with control constraints
Informacionnye tehnologii i vyčislitelnye sistemy, no. 4 (2021), pp. 61-69

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This paper is devoted to the construction of a stabilizing controller in a discrete linear-quadratic stationary problem on a semiaxis with control constraints based on the extension principle. The asymptotic stability of the equilibrium point of the corresponding closed-loop system is established with the help of Malkin–Masser–Chetaev theorem. The results of numerical experiments demon-strating the obtained theoretical results are presented.
Keywords: linear-quadratic discrete optimal control problem, control constraints, extension principle, stabilization. 
@article{ITVS_2021_4_a5,
     author = {Yu. E. Danik},
     title = {Stabilizing controller for one linear discrete system with control constraints},
     journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
     pages = {61--69},
     publisher = {mathdoc},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ITVS_2021_4_a5/}
}
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Yu. E. Danik. Stabilizing controller for one linear discrete system with control constraints. Informacionnye tehnologii i vyčislitelnye sistemy, no. 4 (2021), pp. 61-69. http://geodesic.mathdoc.fr/item/ITVS_2021_4_a5/