Results 71 to 80 of about 3,034,167 (207)
Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
wiley +1 more source
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Pontryagin Maximum Principle - a generalization
, 2009 The fundamental theorem of the theory of optimal control, the Pontryagin maximum principle (PMP), is extended to the setting of almost Lie (AL) algebroids, geometrical objects generalizing Lie algebroids. This formulation of the PMP yields, in particular, a scheme comprising reductions of optimal control problems similar to the reduction for the rigid ...
Grabowski, Janusz, Jozwikowski, Michal
openaire +2 more sources
Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle
Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley +1 more source
Pontryagin\u27s maximum principle
, 1987 In a detailed presentation of Boltyanskii elementary proof of the Pontryagin\u27s Maximum Principle, several gaps have been filled in the original one: The control processes which are considered in this paper are described by a system of ordinary ...
Varuntanya, Chirasakdi
core
ON MATHEMATICAL FOUNDATIONS OF COMPUTER SYSTEM OF TRAWLER OPTIMAL CONTROL FUNCTIONING. Part II
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2006 The problems of trawler optimal control are solved: about optimal speed, optimal expenditures of energy resources. Given problems are Lagrange problems solved by Pontryagin maximum principle.
V.I. Musurivskiy
doaj
Lie Algebroids in Classical Mechanics and Optimal Control
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show
Eduardo Martínez
doaj
ASYMPTOTIC SOLUTION OF CONTROL PROBLEMS OF SLOW AND FAST VARIABLES WITH DELAY
Міжнародний науково-технічний журнал "Проблеми керування та інформатики"The review of published works is performed on averaging control problems with delay for standard systems, for systems with slow variables and systems with singular perturbations, which for the most part were conducted in co-authorship with V.P ...
V.V. Efendiev
doaj +1 more source
A Pontryagin Maximum Principle in Wasserstein Spaces for Constrained Optimal Control Problems [PDF]
, 2019 International audienceIn this paper, we prove a Pontryagin Maximum Principle for constrained optimal control problems in the Wasserstein space of probability measures.
Bonnet, Benoît, Benoît Bonnet
core +1 more source