Controlled nonlinear dynamics generated by isoperimetric constrained optimization problems involving second-order partial derivatives

Savin Treanţă; Izhar Ahmad

doi:10.1016/j.sysconle.2023.105591

Controlled nonlinear dynamics generated by isoperimetric constrained optimization problems involving second-order partial derivatives

Savin Treanţă^*
, Izhar Ahmad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The present paper investigates the nonlinear Lagrange dynamics generated by two classes of isoperimetric constrained controlled optimization problems involving second-order partial derivatives. More precisely, necessary optimality conditions are formulated and proved for the considered variational control problems governed by multiple and path-independent curvilinear integral functionals. Moreover, the theoretical results derived in the paper are accompanied by some illustrative examples. Also, an algorithm is proposed to synthesize the concrete steps to be followed to solve a constrained controlled optimization problem such as those studied in the paper.

Original language	English
Article number	105591
Journal	Systems and Control Letters
Volume	179
DOIs	https://doi.org/10.1016/j.sysconle.2023.105591
State	Published - Sep 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

Curvilinear integral
Differential 1-form
Euler–Lagrange equations
Isoperimetric constraints
Multi-time controlled second-order Lagrangian
Multiple integral

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2023.105591

Cite this

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title = "Controlled nonlinear dynamics generated by isoperimetric constrained optimization problems involving second-order partial derivatives",

abstract = "The present paper investigates the nonlinear Lagrange dynamics generated by two classes of isoperimetric constrained controlled optimization problems involving second-order partial derivatives. More precisely, necessary optimality conditions are formulated and proved for the considered variational control problems governed by multiple and path-independent curvilinear integral functionals. Moreover, the theoretical results derived in the paper are accompanied by some illustrative examples. Also, an algorithm is proposed to synthesize the concrete steps to be followed to solve a constrained controlled optimization problem such as those studied in the paper.",

keywords = "Curvilinear integral, Differential 1-form, Euler–Lagrange equations, Isoperimetric constraints, Multi-time controlled second-order Lagrangian, Multiple integral",

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AU - Treanţă, Savin

AU - Ahmad, Izhar

PY - 2023/9

Y1 - 2023/9

N2 - The present paper investigates the nonlinear Lagrange dynamics generated by two classes of isoperimetric constrained controlled optimization problems involving second-order partial derivatives. More precisely, necessary optimality conditions are formulated and proved for the considered variational control problems governed by multiple and path-independent curvilinear integral functionals. Moreover, the theoretical results derived in the paper are accompanied by some illustrative examples. Also, an algorithm is proposed to synthesize the concrete steps to be followed to solve a constrained controlled optimization problem such as those studied in the paper.

AB - The present paper investigates the nonlinear Lagrange dynamics generated by two classes of isoperimetric constrained controlled optimization problems involving second-order partial derivatives. More precisely, necessary optimality conditions are formulated and proved for the considered variational control problems governed by multiple and path-independent curvilinear integral functionals. Moreover, the theoretical results derived in the paper are accompanied by some illustrative examples. Also, an algorithm is proposed to synthesize the concrete steps to be followed to solve a constrained controlled optimization problem such as those studied in the paper.

KW - Curvilinear integral

KW - Differential 1-form

KW - Euler–Lagrange equations

KW - Isoperimetric constraints

KW - Multi-time controlled second-order Lagrangian

KW - Multiple integral

UR - https://www.scopus.com/pages/publications/85165692868

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DO - 10.1016/j.sysconle.2023.105591

M3 - Article

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SN - 0167-6911

VL - 179

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 105591

ER -

Controlled nonlinear dynamics generated by isoperimetric constrained optimization problems involving second-order partial derivatives

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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