# optimal control

## On stability analysis study and strategies for optimal control of a mathematical model of hepatitis HCV with the latent state

In this work, we analyze a viral hepatitis C model.  This epidemic remains a major problem for global public health, in all communities, despite the efforts made.  The model is analyzed using the stability theory of systems of nonlinear differential equations.  Based on the results of the analysis, the proposed model has two equilibrium points: a disease-free equilibrium point $E_0$ and an endemic equilibrium point $E^{*}$.  We investigate the existence of equilibrium point of the model.  Furthermore, based on the indirect Lyapunov method, we study the local stability o

## A continuous SIR mathematical model of the spread of infectious illnesses that takes human immunity into account

A mathematical model of infectious disease contagion that accounts for population stratification based on immunity criteria is proposed.  Our goal is to demonstrate the effectiveness of this idea in preventing different epidemics and to lessen the significant financial and human costs these diseases cause.  We determined the fundamental reproduction rate, and with the help of this rate, we were able to examine the stability of the free equilibrium point and then proposed two control measures.  The Pontryagin's maximum principle is used to describe the optimal controls,

## Optimal control of tritrophic reaction–diffusion system with a spatiotemporal model

In this paper, we propose a new model of spatio-temporal dynamics concerning the tritrophic reaction-diffusion system by introducing Phytoplankton and Zooplankton.  We recall that the phytoplankton and zooplankton species are the basis of the marine food chain.  There is prey in each marine tritrophic system.  The main objective of this work is to control this species's biomass to ensure the system's sustainability.  To achieve this, we determine an optimal control that minimizes the biomass of super predators.

## Structure of Multiconnected Control System for Electrotechno Logical Complex "Arc Steelmaking Furnace - Supply Network" Modes Control

The paper proposes a multilevel multiconnected structure of the system for adaptive multicriterion optimal control of “arc steelmaking furnace — supply network” electro- technological complex modes

## Position-servo electric optical telescope with variable structure control system

The control system of optical telescope electric drive, which is used for automation of observation processes in positioning and tracking modes to ensure the quality of various quantitative parameters of the telescope in these modes, is synthesized. Mathematical and computer control system models in modes of positioning and tracking were developed. The results of computer simulation in MATLAB / Simulink of developed control system confirmed the theoretical results.