carpathian_2022_38_3_725_735_001

A linear quadratic tracking problem for stochastic systems controlled by impulses. The finite horizon time case


Drăgan, Vasile,  Popa, Ioan-Lucian and  Ivanov, Ivan G.


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carpathian_2022_38_3_725_735

We investigate a problem to solve the linear quadratic tracking problem for stochastic systems controlled by impulses. Two optimal control problems are investigated where the different objective functions are minimized. Explicit formulae for optimal controls are developed. The optimal controllers are computed based on the solution of the backward jump matrix Lyapunov type linear differential equations.

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Author(s)

Drăgan, Vasile, Ivanov, Ivan G., Popa, Ioan-Lucian

DOI

https://doi.org/10.37193/CJM.2022.03.17