The second Euler-Lagrange equation of variational calculus on time scales
type: Item
instance of: scholarly article
title: The second Euler-Lagrange equation of variational calculus on time scales
zbMATH Open document ID: 1248.49024
author: Zbigniew Bartosiewicz
author: Natália Martins
author: Delfim F. M. Torres
published in: European Journal of Control
publication date: 2012-07-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1003.5826
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6052354
zbMATH Keywords: calculus of variations
zbMATH Keywords: Euler-Lagrange, DuBois-Reymond, second Erdmann necessary optimality conditions
zbMATH Keywords: Noether's theorem
zbMATH Keywords: optimal control
zbMATH Keywords: time scales
MaRDI profile type: Publication
Wikidata QID: Q57651065
OpenAlex ID: W2949370217
arXiv ID: 1003.5826
cites work: Dynamic equations on time scales: A survey
cites work: Hamiltonian systems on time scales
cites work: Isoperimetric problems on time scales with nabla derivatives
cites work: An application of time scales to economics
cites work: Q3211639
cites work: Variational \(q\)-calculus.
cites work: Q5446547
cites work: Realizations of Nonlinear Control Systems on Time Scales
cites work: Noether's theorem on time scales
cites work: Analytical Parameterization of Rotors and Proof of a Goldberg Conjecture by Optimal Control Theory
cites work: Q4672815
cites work: Inequalities on time scales: a survey
cites work: Q4743352
cites work: Optimization and nonsmooth analysis
cites work: Q3995739
cites work: Stability for time varying linear dynamic systems on time scales
cites work: Higher-Order Calculus of Variations on Time Scales
cites work: Fractional conservation laws in optimal control theory
cites work: Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control
cites work: On a disconjugacy criterion for second-order dynamic equations on time scales
cites work: Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.
cites work: Weak maximum principle and accessory problem for control problems on time scales
cites work: Q4000373
cites work: Q4692663
cites work: Necessary and sufficient conditions for local Pareto optimality on time scales
cites work: Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
cites work: Calculus of variations on time scales with nabla derivatives
cites work: Q5446435
cites work: On the Noether theorem for optimal control
cites work: Carathéodory equivalence, Noether theorems, and Tonelli full-regularity in the calculus of variations and optimal control
cites work: Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations
cites work: Q4861451
cites work: Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems
cites work: Hamilton-Jacobi-Bellman equations on time scales
DBLP publication ID: journals/ejcon/BartosiewiczMT11
DOI: 10.3166/EJC.17.9-18
description: scientific article; zbMATH DE number 6052354