Convex optimization for trajectory generation: A tutorial on generating dynamically feasible trajectories reliably and efficiently

D Malyuta, TP Reynolds, M Szmuk… - IEEE Control …, 2022 - ieeexplore.ieee.org
Reliable and efficient trajectory generation methods are a fundamental need for
autonomous dynamical systems. The goal of this article is to provide a comprehensive …

Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal

CJ Silva, C Cruz, DFM Torres, AP Munuzuri… - Scientific reports, 2021 - nature.com
The COVID-19 pandemic has forced policy makers to decree urgent confinements to stop a
rapid and massive contagion. However, after that stage, societies are being forced to find an …

Convex optimization for trajectory generation

D Malyuta, TP Reynolds, M Szmuk, T Lew… - arXiv preprint arXiv …, 2021 - arxiv.org
Reliable and efficient trajectory generation methods are a fundamental need for
autonomous dynamical systems of tomorrow. The goal of this article is to provide a …

Optimal control strategies for the transmission risk of COVID-19

L Lemecha Obsu, S Feyissa Balcha - Journal of biological …, 2020 - Taylor & Francis
In this paper, we apply optimal control theory to a novel coronavirus (COVID-19)
transmission model given by a system of non-linear ordinary differential equations. Optimal …

Analysis and numerical simulation of tuberculosis model using different fractional derivatives

ZUA Zafar, S Zaib, MT Hussain, C Tunç… - Chaos, Solitons & …, 2022 - Elsevier
The main goal of the current research is to study and explore dynamic behavior of
tuberculosis by using fractional mathematical model. In this study, recently introduced …

Lyapunov functions for fractional-order systems in biology: Methods and applications

A Boukhouima, K Hattaf, EM Lotfi, M Mahrouf… - Chaos, Solitons & …, 2020 - Elsevier
We prove new estimates of the Caputo derivative of order α∈(0, 1] for some specific
functions. The estimations are shown useful to construct Lyapunov functions for systems of …

Optimal control approach of a mathematical modeling with multiple delays of the negative impact of delays in applying preventive precautions against the spread of …

A Kouidere, D Kada, O Balatif, M Rachik… - Chaos, Solitons & …, 2021 - Elsevier
Abstract As of June 02, 2020. The number of people infected with COVID-19 virus in Brazil
was about 529,405, the number of death is 30046, the number of recovered is 211080, and …

Pest control using farming awareness: Impact of time delays and optimal use of biopesticides

T Abraha, F Al Basir, LL Obsu, DFM Torres - Chaos, Solitons & Fractals, 2021 - Elsevier
We investigate a mathematical model in crop pest management, considering plant biomass,
pest, and the effect of farming awareness. The pest population is divided into two …

An efficient numerical technique for a new fractional tuberculosis model with nonsingular derivative operator

MZ Ullah, AK Alzahrani, D Baleanu - Journal of Taibah University …, 2019 - Taylor & Francis
The present study aims to investigate a new fractional model describing the dynamical
behaviour of the tuberculosis infection. In this new formulation, we use a recently introduced …

Non-integer order analysis of the impact of diabetes and resistant strains in a model for TB infection

ARM Carvalho, CMA Pinto - Communications in Nonlinear Science and …, 2018 - Elsevier
We study the impact of diabetes and multi-drug resistant strains in a non-integer order model
for tuberculosis (TB) infection in a community. We compute the reproduction number, R 0, of …