Results 1 to 10 of about 34,142 (266)

Mathematical Model and Analysis of Corruption Dynamics with Optimal Control [PDF]

open access: yesJournal of Applied Mathematics, 2022
In this study, a deterministic mathematical model that explains the transmission dynamics of corruption is proposed and analyzed by considering social influence on honest individuals. Positivity and boundedness of solution of the model are proved and basic reproduction number
Abayneh Kebede Fantaye   +1 more
openaire   +2 more sources

Optimal Control in a Mathematical Model of Smoking

open access: yesJournal of Mathematical and Fundamental Sciences, 2021
This paper presents a dynamic model of smoking with optimal control. The mathematical model is divided into 5 sub-classes, namely, non-smokers, occasional smokers, active smokers, individuals who have temporarily stopped smoking, and individuals who have stopped smoking permanently.
Nur Ilmayasinta, Heri Purnawan
openaire   +3 more sources

Mathematical Modelling and Optimal Control of Anthracnose

open access: yesBIOMATH, 2014
In this paper we propose two nonlinear models for the control of anthracnose disease. The first one is an ordinary differential equation (ODE) model which represents the whithin host evolution of the disease. The second model includes spatial diffusion of the disease in a bounded domain О©. We show well formulation of those models checking existence of
David Fotsa   +4 more
openaire   +4 more sources

Mathematical Modeling, Analysis, and Optimal Control of Corruption Dynamics [PDF]

open access: yesJournal of Applied Mathematics, 2020
In this paper, a nonlinear deterministic model for the dynamics of corruption is proposed and analysed qualitatively using the stability theory of differential equations. The basic reproduction number with respect to the corruption-free equilibrium is obtained using next-generation matrix method. The conditions for local and global asymptotic stability
openaire   +3 more sources

A Conjugate Gradient-Based BPTT-Like Optimal Control Algorithm With Vehicle Dynamics Control Application [PDF]

open access: yes, 2010
The paper presents a gradient-based algorithm for optimal control of nonlinear multivariable systems with control and state vectors constraints. The algorithm has a backward-in-time recurrent structure similar to the backpropagation-through-time ...
Kolmanovsky, Ilya V.   +10 more
core   +1 more source

Mathematical Optimization for Machine Learning [PDF]

open access: yes
Mathematical optimization and machine learning are closely related. This proceedings volume of the Thematic Einstein Semester 2023 of the Berlin Mathematics Research Center MATH+ collects recent progress on their interplay in topics such as discrete ...

core   +2 more sources

On testing global optimization algorithms for space trajectory design [PDF]

open access: yes, 2008
In this paper we discuss the procedures to test a global search algorithm applied to a space trajectory design problem. Then, we present some performance indexes that can be used to evaluate the effectiveness of global optimization algorithms.
Marco Locatelli   +10 more
core   +3 more sources

A rational deferred correction approach to parabolic optimal control problems [PDF]

open access: yes, 2016
The accurate and efficient solution of time-dependent PDE-constrained optimization problems is a challenging task, in large part due to the very high dimension of the matrix systems that need to be solved.
Stefan Güttel   +5 more
core   +1 more source

Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization [PDF]

open access: yes, 2017
Interior point methods provide an attractive class of approaches for solving linear, quadratic and nonlinear programming problems, due to their excellent efficiency and wide applicability.
Gondzio, Jacek   +4 more
core   +1 more source

How to mathematically optimize drug regimens using optimal control [PDF]

open access: yesJournal of Pharmacokinetics and Pharmacodynamics, 2018
This article gives an overview of a technique called optimal control, which is used to optimize real-world quantities represented by mathematical models. I include background information about the historical development of the technique and applications in a variety of fields.
openaire   +2 more sources

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