Constants of motion for Isoperimetric Variational Problems with Time Delay

2016/03/07 by Frederico, G. S. F., Lazo, M. J., Barreto, M. N. F. +1
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1603.02335

Abstract

In the present work, we obtain the constants of motion for isoperimetric variational problems with time delay. We consider a constrained optimization problem where the Lagrangian function defining the functional depends on time delayed arguments. We prove the isoperimetric Euler--Lagrange and DuBois--Reymond type optimality conditions and, in order to investigate the constants of motion for this problem, we obtain a nonsmooth extension of Noether's symmetry theorem for isoperimetric variational problems with delayed arguments.

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