Constraints Optimal Control Governing by Triple Nonlinear Hyperbolic Boundary Value Problem

Autor: Jamil A. Ali Al-Hawasy, Lamyaa H. Ali
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2020/8021635
Popis: 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.
Databáze: Directory of Open Access Journals
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