Translator Disclaimer
2020 Constraints Optimal Control Governing by Triple Nonlinear Hyperbolic Boundary Value Problem
Jamil A. Ali Al-Hawasy, Lamyaa H. Ali
J. Appl. Math. 2020(none): 1-14 (2020). DOI: 10.1155/2020/8021635

Abstract

The focus of this work lies on proving the existence theorem of a unique state vector solution (Stvs) of the triple nonlinear hyperbolic boundary value problem (TNHBVP) when the classical continuous control vector (CCCVE) is fixed by using the Galerkin method (Galm), proving the existence theorem of a unique constraints classical continuous optimal control vector (CCCOCVE) with vector state constraints (equality EQVC and inequality INEQVC). Also, it consists of studying for the existence and uniqueness adjoint vector solution (Advs) of the triple adjoint vector equations (TAEqs) associated with the considered triple state equations (Tsteqs). The Fréchet Derivative (Frde.) of the Hamiltonian (HAM) is found. At the end, the theorems for the necessary conditions and the sufficient conditions of optimality (Necoop and Sucoop) are achieved.

Citation

Download Citation

Jamil A. Ali Al-Hawasy. Lamyaa H. Ali. "Constraints Optimal Control Governing by Triple Nonlinear Hyperbolic Boundary Value Problem." J. Appl. Math. 2020 1 - 14, 2020. https://doi.org/10.1155/2020/8021635

Information

Received: 27 October 2019; Accepted: 28 January 2020; Published: 2020
First available in Project Euclid: 14 May 2020

zbMATH: 07195537
MathSciNet: MR4087066
Digital Object Identifier: 10.1155/2020/8021635

Rights: Copyright © 2020 Hindawi

JOURNAL ARTICLE
14 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.2020 • 2020
Back to Top