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

被引：6

作者：

Chalishajar, Dimplekumar ^{[1
]}

Ravikumar, K. ^{[2
]}

Ramkumar, K. ^{[2
]}

Varshini, S. ^{[2
]}

机构：

[1] Virginia Mil Inst VMI, Dept Appl Math, Mallory Hall, Lexington 24450, VA USA

[2] PSG Coll Arts & Sci, Dept Math, Coimbatore, India

来源：

AUTOMATIKA | 2024年 / 65卷 / 03期

关键词：

Optimal control; impulsive stochastic system; time varying-coefficient model; the Leray Schauder alternative; EVOLUTION-EQUATIONS; EXISTENCE;

D O I：

10.1080/00051144.2024.2361212

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：1271 / 1283

页数：13

共 36 条

[1] Fractional Optimal Control Problems with Several State and Control Variables
Agrawal, Om P.
Defterli, Ozlem
Baleanu, Dumitru
[J]. JOURNAL OF VIBRATION AND CONTROL, 2010, 16 (13) : 1967 - 1976
[2] A general formulation and solution scheme for fractional optimal control problems
Agrawal, OP
[J]. NONLINEAR DYNAMICS, 2004, 38 (1-4) : 323 - 337
[3] Hilfer fractional stochastic integro-differential equations
Ahmed, Hamdy M.
El-Borai, Mahmoud M.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 331 : 182 - 189
[4] Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions
Ahmed, Hamdy M.
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2015, 28 (02) : 667 - 680
[5] Necessary Conditions for Optimal Control of Stochastic Evolution Equations in Hilbert Spaces
Al-Hussein, AbdulRahman
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2011, 63 (03) : 385 - 400
[6] The Solvability and Optimal Controls for Impulsive Fractional Stochastic Integro-Differential Equations via Resolvent Operators
Balasubramaniam, P.
Tamilalagan, P.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 174 (01) : 139 - 155
[7] NECESSARY AND SUFFICIENT CONDITIONS FOR L1-STRONG WEAK LOWER SEMICONTINUITY OF INTEGRAL FUNCTIONALS
BALDER, EJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (12) : 1399 - 1404
[8] Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population
Ben Amar, Afif
[J]. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (04): : 851 - 865
[9] Caraballo T., 2016, Appl Math Nonlinear Sci, V1, P493, DOI [10.21042/AMNS.2016.2.00039, DOI 10.21042/AMNS.2016.2.00039]
[10] Trajectory Controllability of Second Order Nonlinear Integro-Differential System: An Analytical and a Numerical Estimation
Chalishajar D.
Chalishajar H.
[J]. Differential Equations and Dynamical Systems, 2015, 23 (4) : 467 - 481

← 1 2 3 4 →