Results 71 to 80 of about 3,175,486 (148)

A theoretical model for Zika virus transmission. [PDF]

open access: yesPLoS ONE, 2017
In this paper, we present and analyze an SEIR Zika epidemic model. Firstly, we investigate the model with constant controls. The steady states of the model is found to be locally and globally asymptotically stable.
Ebenezer Bonyah   +3 more
doaj   +1 more source

A sequential quadratic Hamiltonian‐based estimation method for Box‐Cox transformation cure model

open access: yesStatistica Neerlandica, Volume 80, Issue 3, August 2026.
ABSTRACT We propose an enhanced estimation method for the Box‐Cox transformation (BCT) cure rate model parameters by introducing a generic maximum likelihood estimation algorithm, the sequential quadratic Hamiltonian (SQH) scheme, which is based on a gradient‐free approach.
Phuong Bui   +3 more
wiley   +1 more source

Pontryagin's Principle for Time-Optimal Problems

open access: yes, 1999
International audienceWe consider time-optimal control problems for semilinear parabolic equations with pointwise state constraints and unbounded controls. A Pontryagin's principle is obtained in nonqualified form without any qualification condition. The
Raymond, Jean-Pierre, Zidani, H.
core   +1 more source

The asymptotic Mahler measure of Gaussian periods

open access: yesProceedings 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's maximum principle for optimal control of a non-well-posed parabolic differential equation involving a state constraint

open access: yes, 2004
In this paper, we study Pontryagin's maximum principle for some optimal control problems governed by a non-well-posed parabolic differential equation.
Lee, Mi Jin, Park, Jong Yeoul
core  

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

open access: yesEngineering 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

An application of Hamiltonian neurodynamics using Pontryagin's maximum (minimum) principle

open access: yes, 2009
Hamiltonians can generate Artificial Neural Dynamical systems dependent on time. Classical methods from optimal control theory, notably Pontryagin's Maximum (Minimum) principle (PMP) can be employed, together with Hamiltonians, in order to determine the ...
Takamasa Koshizen (20156301)
core   +1 more source

Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints [PDF]

open access: yes, 2000
International audienceThis paper deals with optimal control problems of semilinear parabolic equations with pointwise state constraints and coupled integral state-control constraints.
Raymond, Jean-Pierre   +4 more
core   +1 more source

TWO-POINT BOUNDARY PROBLEM SOLUTION BY NON-GRADIENT RANDOM SEARCH METHOD

open access: yesСистемный анализ и прикладная информатика, 2016
The numerical solution of two-point boundary problem when determining optimal control of dynamical system by means of Pontryagin’s maximum principle is considered. The initial conditions of conjugate set of equations are determined by use of non-gradient
V. A. Malkin
doaj  

A computational and geometric analysis of economic dynamics using Pontryagin’s maximum principle: advanced numerical simulations perspective

open access: yesDiscover Applied Sciences
This research develops and implements a comprehensive Python-based computational framework for solving optimal control problems in economic dynamics using Pontryagin’s Maximum Principle (PMP).
Walle Tilahun   +3 more
doaj   +1 more source

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