Original scientific paper
https://doi.org/10.1080/00051144.2024.2361212
On solvability and optimal controls for impulsive stochastic integrodifferential varying-coefficient model
Dimplekumar Chalishajar
; Department of Applied Mathematics, Mallory Hall, Virginia Military Institute (VMI), Lexington, VA, USA
*
K. Ravikumar
; Department of Mathematics, PSG College of Arts and Science, Coimbatore, India
K. Ramkumar
; Department of Mathematics, PSG College of Arts and Science, Coimbatore, India
S. Varshini
; Department of Mathematics, PSG College of Arts and Science, Coimbatore, India
* Corresponding author.
Abstract
This article concentrates in analyzing optimal controls for stochastic integrodifferential equation
(SIDE) in Hilbert space. Necessary parameters are imposed to demonstrate the system that follows a unique variation of parameter formula using Leray Schauder Alternative. Subsequently,
the existence of optimal control is investigated for the considered Lagrange control problem.
The theoretical example with the mechanical example of ethanol fuelled engine are discussed
to validate the results obtained.
Keywords
Optimal control; impulsive stochastic system; time varying-coefficient model; the Leray Schauder alternative
Hrčak ID:
326279
URI
Publication date:
11.6.2024.
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