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

