Publications (31)
ARTICLE
ON OPTIMAL CONTROL OF AN EPIDEMIOLOGICAL SYSTEM STRUCTURED BY AGE
Georges Kologo , Cedric Kpèbbèwèrè Some, Somdouda Sawadogo
In this paper, we study optimal control problems for a system structured according to the age a and position x of an epidemic of the sveicrs type. We focus on solid biological knowledge about the modes of transmission of the SARS-CoV-2 virus via airborne transmission. First, we show the conditions for the existence of solutions and the princip(...)
Stochastic Optimal Control, Optimal Value, Epidemiological System, Stochastic Stability
ARTICLE
GNSS Analysis of the Ionospheric Response to the Extreme Geomagnetic Storm of May 11, 2024: Latitudinal Dependence of VTEC
Karim Guibula, Abidina Diabate, Moumouni Diallo
This study examines the ionospheric response to the extreme geomagnetic storm of May 11, 2024, (Dst ≈ −400 nT) using GNSS derived vertical total electron content (VTEC) from four stations distributed from northern mid-latitudes to southern low latitude. Disturbances are quantified using the relative deviation parameter (ΔVTEC) and interpreted(...)
ionosphere; extreme geomagnetic storm; VTEC; ΔVTEC; GNSS; latitudinal dependence
ARTICLE
SIMULTANEOUS SENTINELS WITH A GIVEN SENSITIVITY IN A POPULATION DYNAMICS PROBLEM WITH MISSING DATA
Kpèbbèwèrè Cédric SOME, Georges KOLOGO, Somdouda SAWADOGO
In this paper, we determine pollution parameters in a population dynamics model with missing data by using simultaneous sentinels with given sensitivity. First, we construct suitable functionals in order to introduce the notion of simultaneous sentinels. Next, we show that the existence of such sentinels is equivalent to the simultaneous null-(...)
simultaneous sentinels, null-controllability, Carleman inequalities, observability inequality, constraint control
ARTICLE
Characteristic Study of Intense Storms: Case of the Intense Storms of November 6, 1997, August 17, 2001, and January 7, 2015
Karim Guibula, Abidina Diabate, Rassiratou Kindo, F. Ouattara
The characteristics of three intense geomagnetic storms and the influence of solar phases on their intensity were studied. The extreme values of the Dst and AE indices and solar wind parameters (Vsw, Psw, Bz, Ey, nP) were used to characterize the storm intensities. The three storms were selected during the solar ascending, maximum, and descend(...)
Geomagnetic Storms, Intense Storms, Bz Component, Geomagnetic Indices, Solar Wind
ARTICLE
ASYMPTOTIC STABILITY AND OPTIMAL CONTROL OF A NONLINEAR TIME-VARYING SYSTEM WITH JOINT CONSTRAINTS AND EPIDEMIC ILLUSTRATIVE EXAMPLE
Kpèbbèwèrè Cédric Somé, Georges KOLOGO, Somdouda SAWADOGO
We study the optimal value of a functional cost for a control problem whose control function is piecewise continuous in a bounded closed space. We then use the convexity of the Hamiltonian function to prove the necessary and sufficient conditions for optimality. The optimal values of the control problem are determined by the optimality princip(...)
Nonlinear system, Joint (building), Stability (learning theory), Exponential stability, Control theory (sociology), Optimal control, Mathematics, Control (management), Computer science, Mathematical optimization, Applied mathematics, Engineering, Physics, Artificial intelligence, Structural engineering
ARTICLE
Control of Singular Distributed Systems by Controllability : The Ill-Posed Backwards Heat Equation
Bylli André Guel, Sadou Tao, Elie Ouedraogo
To deal with the ill-posed backwards heat equation, we propose the controllability method. The point of view adopted consists in interpreting the state equation as an inverse problem that allows us to obtain a decoupled and strong singular optimality system for the optimal control-state pair. This further permits to propose an existence criter(...)
singular distributed systems, optimal control, ill-posed backwards heat equation, controllability, inverse problem
ARTICLE
Optimal Control of a Nonlinear System with White Noise
Georges KOLOGO, Kpèbbèwèrè Cédric Somé, Somdouda Sawadogo
In this paper, we propose a control problem for nonlinear stochastic differential equations with noise. The system proposed for the control problem is a nonlinear system perturbed by standard Brownian motion. We write this problem in a coupled form where the control <i>u(t)</i> has a value in a convex space. Here, we propose suffic(...)
Control theory (sociology), White noise, Nonlinear system, Noise (video), Control (management), Computer science, Mathematics, Statistics, Physics, Artificial intelligence
ARTICLE
Performance Evaluation of the Ionospheric Models AfriTEC and NeQuick 2 at the BF01 Station in Ouagadougou Between 2013 and 2021
Karim Guibula, Pouraogo Ouédraogo, Salfo Kaboré, Frédéric Ouattara, Rolland Fleury
This manuscript examines the performance of two ionospheric models, AfriTEC and NeQuick 2, at station BF01 (lat. 12.3714° N, long. −1.5197° W) in Ouagadougou, Burkina Faso, situated in the West African equatorial region. The study is aimed at aiding in selecting an appropriate ionospheric model for this region, where in situ data are scarce. I(...)
AfriTEC; model;NeQuick2;performance;RINEX;VTEC
ARTICLE
Effects of Geomagnetic Storm Classes on the Ionosphere at Korhogo Station
Karim Guibula, Abidina Diabate, W. E. Sawadogo, Tidiana Kindo, F. Ouattara
This work is a study of the effects of geomagnetic storm classes on the ionosphere at the Korhogo station (Lat. 9.3˚N; Long. 354.6˚E; dip. 0.6˚S). The years covered by the study are 1993, 1995, 1998, and 2001. The ionospheric parameter used is the critical frequency of the F2 layer of the ionosphere (foF2). The geomagnetic storm classes consid(...)
Geomagnetic Storm, Ionospheric Storm, Negative Storm, Positive Storm, foF2 Profile
ARTICLE
Response of the Magnetospheric Convection Electric Field (MCEF) to Geomagnetic Storms During the Solar Cycle 24 Maximum Phase
Bazié Nongobsom, Kaboré Salfo, Guibula Karim, Ouattara Frédéric
The present work focuses on the variability of the magnetospheric convection electric field (MCEF) during geomagnetic storms generated by coronal mass ejections (CMEs). The aim of the study was to analyze the response of the MCEF to geoeffective CMEs occurring during the maximum phase of Solar Cycle 24. A total of eight storms were selected on(...)
Coronal mass ejections; interplanetary magnetic field; magnetic storm; magnetospheric convection electric field
ARTICLE
LOCAL STABILITY AND OPTIMAL CONTROL STRATEGY FOR A SARS-CoV-2 EPIDEMIC
Georges Kologo , Cédric K. SOME, Somdouda SAWADOGO
This article assesses the effect of vaccination on the control of an infectious disease using a new mathematical model in which immunity is not acquired permanently. In this model, the number of elementary reproductions \mathcal{R}_0 is a major indicator of the extinction or propagation of the infection in a population. In this document, the c(...)
optimal value, epidemic model, loss of immunity, homogeneous environment.
ARTICLE
A METHOD FOR PARAMETERS IDENTIFICATION IN POPULATION DYNAMICS PROBLEM
Mifiamba SOMA, Cedric K SOME 2, Mamadou OUEDRAOGO 3, Somdouda SAWADOGO
The problems of pollution in population dynamics generally involve missing source terms, as well as missing initial or boundary conditions. This paper is concerned with identifying
the pollution terms arising in the state equation of a population dynamics system with incomplete initial conditions. To this end, the so-called sentinel method is(...)
Population dynamics, Carleman inequality, incomplete data, Controllability
ARTICLE
Study of Regular Variations in Vertical Total Electron Content (VTEC) from 2013 to 2021 at Station BF01 in Ouagadougou
Pouraogo Ouédraogo, Karim Guibula, Abidina Diabaté, Rolland Fleury, Frédéric Ouattara
This paper presents the regular variations of the Vertical Total Electron Content (VTEC) at station BF01 (Lat. = 12.3714 N and Long. = -1.5197 W) in Ouagadougou (Burkina Faso) located in the trough of the equatorial ionisation anomaly near the northern ridge of the West African zone. The period studied runs from 2013 to 2021. The VTEC is extra(...)
Solar flux F107, Seasonal variations, Diurnal variations, Regular variations, VTEC, GNSS-CORS
ARTICLE
Extraction of ionospheric vertical total electron content (VTEC) using global navigation satellite system-continuously operating reference station (GNSS-CORS) data from station BF01 in Ouagadougou
Pouraogo Ouédraogo, Karim Guibula, Abidina Diabaté, Rolland Fleury, Frédéric Ouattara
Numerous raw data concerning the ionosphere exist almost everywhere in Africa. However, these data are underexploited due to the lack of simple methods to extract ionospheric parameters from the data. This paper presents a method for extracting vertical total electron content (VTEC) using Global Navigation Satellite System-Continuously Operati(...)
Global navigation satellite system-continuously operating reference station GNSS-CORS, Vertical total electron content VTEC, Receiver INdependent Exchange Format RINEX, Ionosphere
PRéPUBLICATION
Control of Singular Distributed Systems by Controllability: The Ill-Posed Backwards Heat Equation
Bylli André Guel, Sadou Tao, Elie Ouedraogo
This paper deals with the ill-posed backwards heat equation. To do this, we propose the controllability method. The point of view adopted, which consists in interpreting the state equation as an inverse problem, allows us to obtain a decoupled and strong singular optimality system for the optimal control-state pair, but also to propose an exis(...)
Singular distributed systems, Optimal control, Ill-posed backwards heat equation, Controllability, Inverse problem