Results 71 to 80 of about 3,450,581 (206)
The asymptotic Mahler measure of Gaussian periods
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +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
Engineering Reports, Volume 8, Issue 6, June 2026.The study introduces a model‐free data‐driven control strategy combining sliding mode control with a projection recurrent neural network to regulate HIV dynamics. The method eliminates dependence on mathematical models, ensures constrained optimal drug dosing, and robustly drives HIV states to a healthy equilibrium despite uncertainty. ABSTRACT In this
Ashkan Zarghami +2 more
wiley +1 more source
, 2020 We study the Pontryagin maximum principle for an optimal control problem with state constraints. We analyze the continuity of a vector function μ (which is one of the Lagrange multipliers corresponding to an extremal by virtue of the maximum principle ...
Arutyunov A.V.
core +2 more sources
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
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
A Pontryagin Maximum Principle in Wasserstein Spaces for Constrained Optimal Control Problems
, 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
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
Optimal Control of a Modified Mathematical Model of Social Media Addiction
InPrimeThis research investigates the application of optimal control in the Susceptible, Exposed, Addicted, Recovery, Quit (SEA_1 A_2 RQ) model to address social media addiction.
Juhari Juhari +3 more
doaj +1 more source