2014/12/01 by Simao P. S. Santos, Simão P. S. Santos, Natália Martins +2 · 16 citations
Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #Control (management) #Nonlinear Partial Differential Equations #Optimal control #Optimization and Variational Analysis #Piecewise #Point (geometry) #Transversality #Variational analysis #math.OC
paper · pdf · doi:10.1007/978-3-319-20352-2_7
published in Communications in computer and information science, 107-117 (Springer Science+Business Media) · This is a preprint of a paper whose final and definite form will be published in Springer Communications in Computer and Information Science (CCIS), ISSN 1865-0929. Paper submitted 3/Aug/2014; revised 26/Nov/2014; accepted for publication 27/Nov/2014
arxiv created 2014/12/01 · openalex publication_date 2015/01/01 · arxiv updated 2015/06/22 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We address the generalized variational problem of Herglotz from an optimal control point of view. Using the theory of optimal control, we derive a generalized Euler-Lagrange equation, a transversality condition, a DuBois-Reymond necessary optimality condition and Noether's theorem for Herglotz's fundamental problem, valid for piecewise smooth functions.