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Title: Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales
Author: Malinowska, A.B.
Torres, D.F.M.
Keywords: Calculus of variations
Leitmann's direct method
Optimal control
Time scales
Issue Date: 2010
Publisher: Elsevier
Abstract: The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions. This includes the discrete-time, the quantum, and the continuous/classical calculus of variations as particular cases. In this note we follow Leitmann's direct method to give explicit solutions for some concrete optimal control problems on an arbitrary time scale. © 2010 Elsevier Inc. All rights reserved.
Peer review: yes
ISSN: 0096-3003
Appears in Collections:DMat - Artigos

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