Analysis, control, and state estimation for the networked competitive multi-virus SIR model

C Zhang, S Gracy, T Basar, PE Paré - arXiv preprint arXiv:2305.09068, 2023 - arxiv.org
This paper proposes a novel discrete-time multi-virus susceptible-infected-recovered (SIR)
model that captures the spread of competing epidemics over a population network. First, we …

Mathematical modelling, observation and identification of epidemiological models with reinfection

M Fang - 2024 - theses.hal.science
The subject of this work is the mathematical modelling of infectious diseases with
reinfections and the analysis of the corresponding models. First, we introduce a general …

Observer-based output feedback for an age-structured SIRD model

C Sonveaux, C Prieur, G Besançon… - arXiv preprint arXiv …, 2024 - arxiv.org
An age-structured Susceptible-Infected-Recovered-Deceased (SIRD) epidemic model is
considered. The aim of this paper is to design an observer-based output feedback control …

A class of nonlinear state observers for an SIS system counting primo-infections

M Fang, PA Bliman, D Efimov… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
Observation and identification are important issues for the practical use of compartmental
models of epidemic dynamics. They are usually evaluated based on the number of infected …

Feedback Design for Devising Optimal Epidemic Control Policies

MUB Niazi, PE Paré, KH Johansson - IFAC-PapersOnLine, 2023 - Elsevier
This paper proposes a feedback design that effectively copes with uncertainties for reliable
epidemic monitoring and control. There are several optimization-based methods to estimate …

Parameterization-Free Observer Design for Nonlinear Systems: Application to the State Estimation of Networked SIR Epidemics

MUB Niazi, KH Johansson - 2023 62nd IEEE Conference on …, 2023 - ieeexplore.ieee.org
Traditional observer design methods rely on certain properties of the system's nonlinearity,
such as Lipschitz continuity, one-sided Lipschitzness, a bounded Jacobian, or quadratic …

Nonlinear Adaptive Observers for an SIS System Counting Primo-infections

M Fang, PA Bliman, D Efimov, R Ushirobira - IFAC-PapersOnLine, 2023 - Elsevier
Observation and identification are important issues for the practical use of compartmental
models of epidemic dynamics. Usually, the state and parameters of the epidemic model are …

EFFICIENT RESOURCE ALLOCATION IN NETWORKS: FROM CENTRALIZED TO DISTRIBUTED APPROACHES

C Zhang - 2023 - hammer.purdue.edu
Network models are essential for representing a myriad of real-world problems. Two of the
most important categories of networks are centralized and distributed networks. In this …

[PDF][PDF] Stabilization, regulation and observation of nonlinear systems

D Astolfi - 2023 - hal.science
This manuscript summarizes the work of my 10 years of research, which began during my
PhD studies in 2013. Initially, my research was conducted as part of a joint Ph. D. program …