Title | ||
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Necessary Optimality Conditions in Isoperimetric Constrained Optimal Control Problems |
Abstract | ||
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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 Urziceanu | 1 | 1 | 0.40 |