Geodesic
Canonical approximations in impulse stabilization for a system with aftereffect
Ural mathematical journal, Tome 9 (2023) no. 2, pp. 77-85

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For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used. For a system with aftereffect, approximating systems of ordinary differential equations proposed by S.N. Shimanov and J. Hale are used. A method for constructing approximations for optimal stabilizing control of an autonomous linear system with aftereffect and impulse controls is proposed. Matrix Riccati equations are used to find approximating controls.
Keywords: Differential equation with aftereffect, canonical approximation, optimal stabilization, impulse control. 
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     author = {Yurii. F. Dolgii},
     title = {Canonical approximations in impulse stabilization for a system with aftereffect},
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     pages = {77--85},
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     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2023_9_2_a5/}
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Yurii. F. Dolgii. Canonical approximations in impulse stabilization for a system with aftereffect. Ural mathematical journal, Tome 9 (2023) no. 2, pp. 77-85. http://geodesic.mathdoc.fr/item/UMJ_2023_9_2_a5/