Staff Members - Benha University
STABILITY OF FRACTIONAL OPTIMAL CONTROL PROBLEM WITH GENERAL PARAMETER IN THE CONSTRAINTS
FILOMAT • 2022
Publication Information
Authors
M. E. Abdelraouf; M.H. Kassem; N. A. El-kholy; M.H. Eid
Keywords
Fractional derivative- Fractional optimal control-Parametric optimization- Solvability set – Stability set of the first kind.
Journal
FILOMAT
Publisher
Not Available
Volume
Vol 34, No 1 (2020)
Issue
Not Available
Pages
Not Available
publication.type
Local
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
The basic notions such as solvability and stability sets will be discussed for the fractional
optimal control problem which contains general parameters in the cost function. Kuhn-
Tucker optimality necessary conditions are established in the presence fractional calculus.
These conditions enable us to determine the stability set of parameters corresponding
certain optimal solution of the problem. An illustrative example is given to clarify the
development results in the paper.
optimal control problem which contains general parameters in the cost function. Kuhn-
Tucker optimality necessary conditions are established in the presence fractional calculus.
These conditions enable us to determine the stability set of parameters corresponding
certain optimal solution of the problem. An illustrative example is given to clarify the
development results in the paper.