Title
Necessary Optimality Conditions in Isoperimetric Constrained Optimal Control Problems
Abstract
In this paper, we focus on a new class of optimal control problems governed by a simple integral cost functional and isoperimetric-type constraints (constant level sets of some simple integral functionals). By using the notions of a variational differential system and adjoint equation, necessary optimality conditions are established for a feasible solution in the considered optimization problem. More precisely, under simplified hypotheses and using a modified Legendrian duality, we establish a maximum principle for the considered optimization problem.
Year
DOI
Venue
2019
10.3390/sym11111380
SYMMETRY-BASEL
Keywords
Field
DocType
isoperimetric-type constraints,optimal control,control Hamiltonian,variational differential system,symmetry,adjoint equation
Applied mathematics,Adjoint equation,Optimal control,Maximum principle,Differential systems,Mathematical analysis,Level set,Duality (optimization),Isoperimetric inequality,Optimization problem,Mathematics
Journal
Volume
Issue
Citations 
11
11
1
PageRank 
References 
Authors
0.40
0
1
Name
Order
Citations
PageRank
Silviu-Aurelian Urziceanu110.40