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

作者：Malinowska Agnieszka B; Torres Delfim F M^*

来源：Applied Mathematics and Computation, 2010, 217(3): 1158-1162.

DOI：10.1016/j.amc.2010.01.015

• Calculus of variations
• Optimal control
• Leitmann's direct method
• Time scales

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.

• 出版日期2010-10-1