Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

Details Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales Leitmann's direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

2010-01-09

arxiv.org/abs/1001.1455v1

Appl. Math. Comput. 217 (2010), no. 3, 1158--1162

Mathematics

Optimization and Control

Accepted for publication (9/January/2010) in Applied Mathematics and Computation

Scientific paper

10.1016/j.amc.2010.01.015

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.

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