Continues Classical Quaternary Boundary Optimal Control Problem of Quaternary Linear Hyperbolic System

Authors

  • Jamil Al-Hawasy Department of Mathematics, College of Science, Mustansiriyah University
  • Mahmood Fadhel

Keywords:

Quaternary Boundary Optimal Control, Quaternary Linear Hyperbolic System, Quaternary Adjoint Linear System, Directional Derivative, Necessity Conditions

Abstract

This work concerns with the study of the continuous classical quaternary boundary optimal control problem or for brief quaternary boundary optimal control problem (QBOCP) controlling by quaternary linear hyperbolic system(QLHS).  The existence theorem for a unique quaternary state vector solution(QSVS) for the QLHS as well as for its quaternary adjoint linear system(QALS) is proved via the method of Galerkin (MG) with given continuous boundary control quaternary vector (CBCQV). The existence theorem of a continuous boundary optimal control quaternary vector (CBOCQV) controlling by the QLHS is demonstrated.  The directional derivative (DDV) for the objective functional (OF) is derived. lastly the necessity conditions for optimality (NCO) of the problem is studied

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Published

13-08-2025

How to Cite

Al-Hawasy, J., & Fadhel , M. . (2025). Continues Classical Quaternary Boundary Optimal Control Problem of Quaternary Linear Hyperbolic System. Communications in Mathematics and Applications, 16(1). Retrieved from https://www.journals.rgnpublications.com/index.php/cma/article/view/2951

Issue

Vol. 16 No. 1 (2025)

Section

Research Article

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