On solvability and optimal controls for impulsive stochastic integrodifferential varying-coefficient model

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 o...

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Bibliographic Details
Published inAutomatika Vol. 65; no. 3; pp. 1271 - 1283
Main Authors Chalishajar, Dimplekumar, K., Ravikumar, K., Ramkumar, Varshini, S.
Format Journal Article
LanguageEnglish
Published Ljubljana Taylor & Francis Ltd 02.07.2024
Taylor & Francis Group
Subjects
35R10
60G22
Applied mathematics
Ethanol
Generalized linear models
Hilbert space
impulsive stochastic system
Optimal control
Parameters
Random variables
the Leray Schauder alternative
time varying-coefficient model
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Summary: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.
ISSN:0005-1144
1848-3380
DOI:10.1080/00051144.2024.2361212