CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT

Yuri F. Dolgii     (Ural Federal University, 19 Mira str., Ekaterinburg, 620002, Russian Federation)

Abstract


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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References


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DOI: http://dx.doi.org/10.15826/umj.2023.2.006

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