Results 71 to 80 of about 3,175,761 (173)

ANALYZING AND OPTIMIZING OF A PFLUGER COLUMN [PDF]

, 2012
The optimal shape of a Pfluger column is determined  by using Pontryagin’s maximum principle (PMP). The governing equation of the problem is reduced to a boundary-value problem for a single second order nonlinear differential equation. The results of the
Huong, Cao Quoc, Trung, Tran Duc, Le, Bui Hai   +2 more
core   +1 more source

A Liouville dynamical modelling and control framework for oesophageal cancer-induced immune responseA Liouville dynamical modelling and control framework for oesophageal cancer-induced immune response [PDF]

Royal Society Open Science
A Liouville-based framework is developed for optimizing treatment strategies in oesophageal cancer (OC) while accounting for inter-patient heterogeneity.
Souvik Roy, Naif Abu Qarnayn, Mesfer H. F. Alajmi, Asma Alghamdi, Ibrahem Alshaoosh, Shreshtha Chaturvedi, Olusola Dehinsilu, Rodina El-Adawy, Darsh Gandhi, DeAnna Patterson, Jordan Rodriguez   +10 more
doaj   +1 more source

Optimizing control strategies for monkeypox through mathematical modeling

Partial Differential Equations in Applied Mathematics
Monkeypox is a zoonotic viral disease similar to smallpox, has emerged as a major global health concern following the COVID-19 pandemic. This study presents a novel mathematical model aimed at analyzing various epidemiological factors, particularly the ...
Mohamed Baroudi, Imane Smouni, Hicham Gourram, Abderrahim Labzai, Mohamed Belam   +4 more
doaj   +1 more source

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, David Hokken, Berend Ringeling   +2 more
wiley   +1 more source

The Optimal Frequency Control Problem of a Nonlinear Oscillator

Mathematics
We study a minimum-time (time-optimal) control problem for a nonlinear pendulum-type oscillator, in which the control input is the system’s natural frequency constrained to a prescribed interval.
Victor Ilyutko, Dmitrii Kamzolkin, Vladimir Ternovski   +2 more
doaj   +1 more source

A Data‐Driven Control Framework for HIV Infection Using Projection Recurrent Neural Networks and Singular Value Analysis

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, Mehdi Siahi, Fereidoun Nowshiravan Rahatabad   +2 more
wiley   +1 more source

Pontryagin’s Maximum Principle for a Advection-Diffusion-Reaction Equation*

, 2012
In this paper we investigate optimal control problems governed by a advection-diffusion-reaction equation. We present a method for deriving conditions in the form of Pontryagin’s principle.
Youjun Xu, Cuie Xiao, Hui Zhu
core  

Optimal Control‐Based Generic Framework for Radiofrequency Pulse Design in MRI

NMR in Biomedicine, Volume 39, Issue 6, June 2026.
This paper presents an open‐source Python‐based optimal control RF design framework, which can tackle various problems (short‐T2 selective excitation or B1‐robust excitation/inversion). It features three main methodological contributions: a specific cost is introduced to reduce pulse peak amplitude; consistent integration of various hard constraints on
Emilio Molina, Hélène Ratiney, Eric Van Reeth   +2 more
wiley   +1 more source

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, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober‐Blöbaum, Rodrigo T. Sato Martin de Almagro   +4 more
wiley   +1 more source

Some Applications of the Maximum Principle to Second-Order Systems, Subject to Input Saturation, Minimizing Error, and Effort

, 1964
The optimal controls for various types of performance criteria are investigated for second-order systems by means of the Pontryagin’s Maximum Principle. Optimal control solutions for several examples are shown. The results presented show widely different
G. Boyadjieff, Y. Takahashi, D. Eggleston, M. Jacques, H. Sutabutra   +4 more
core   +1 more source