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Author(s): Maria do Rosário Marques Fernandes Teixeira de Pinho
R. Vinter
Title: An Euler-Lagrange inclusion for optimal control problems
Issue Date: 1995
Abstract: A new first-order necessary condition is proved for nonsmooth, nonlinear optimal control problems with general endpoint constraints and for which the velocity set may be possibly nonconvex. It is in the nature of a generalization of the Euler-Lagrange equation of the calculus of variations to optimal control. It resembles the weak form of the maximum principle but it is distinct from it because it employs a ''total'' generalized gradient instead of the customary product of partial generalized gradients. The optimality condition is shown to be sufficient for optimality when it is specialized to apply to normal, convex problems. ii counterexample illustrates that, for such problems, the maximum principle is not a sufficient condition.
Subject: Engenharia electrotécnica, Engenharia electrotécnica, electrónica e informática
Electrical engineering, Electrical engineering, Electronic engineering, Information engineering
Scientific areas: Ciências da engenharia e tecnologias::Engenharia electrotécnica, electrónica e informática
Engineering and technology::Electrical engineering, Electronic engineering, Information engineering
Document Type: Artigo em Revista Científica Internacional
Rights: restrictedAccess
Appears in Collections:FEUP - Artigo em Revista Científica Internacional

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