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Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.5138
Abstract: The Department of Science and Technology (DST)/National Research Foundation (NRF) South African Research Chairs Initiative (SARChI) Chair in Mathematical Models and Methods in Bioengineering and Biosciences.
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Keywords:
bifurcation analysis;
backward bifurcation;
discrete epidemiological;
two continuous ... See more keywords
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Published in 2017 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-017-1668-6
Abstract: The problem of optimizing truss structures in the presence of uncertain parameters considering both continuous and discrete design variables is studied. An interval analysis based robust optimization method combined with the improved genetic algorithm is…
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Keywords:
interval analysis;
analysis based;
genetic algorithm;
optimization ... See more keywords
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Published in 2022 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2021.08.013
Abstract: Abstract This paper continues our research devoted to an accurate nonlinear Bayesian filters' design. Our solution implies numerical methods for solving ordinary differential equations (ODE) when propagating the mean and error covariance of the dynamic…
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Keywords:
cubature kalman;
extended cubature;
discrete extended;
continuous discrete ... See more keywords
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Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.754
Abstract: Abstract Using a nonlinear model for the glucose-insulin dynamics in type 2 diabetes, formulated in continuous-time as a stochastic differential equation, we seek to estimate the system states and parameters based only on discrete-time self-monitored…
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Keywords:
continuous discrete;
type diabetes;
kalman filter;
estimate ... See more keywords
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Published in 2021 at "Journal of the Mechanics and Physics of Solids"
DOI: 10.1016/j.jmps.2021.104412
Abstract: Abstract In the present work, two methods, named “continuous” and “discrete”, are proposed to model the fragmentation process in brittle solids. Both methods rely on a preliminary analysis of the existing flaws population in scanned…
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Keywords:
model fragmentation;
fragmentation process;
strain rates;
continuous discrete ... See more keywords
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Published in 2021 at "International Journal of Control"
DOI: 10.1080/00207179.2021.1948105
Abstract: In this paper, we shall discuss the convergence of the continuous-discrete feedback particle filter (FPF) proposed in Yang et al. (2014). The FPF is an interacting system of N particles where the i...
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Keywords:
discrete feedback;
particle filter;
feedback particle;
continuous discrete ... See more keywords
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Published in 2017 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2017.1324924
Abstract: ABSTRACT This paper considers the continuous–discrete-time adaptive observer (CDAO) design for a class of nonlinear systems with unknown constant parameters and sampled output measurements. The proposed observer is actually an impulsive system, since the observer…
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Keywords:
discrete time;
output;
sampled output;
continuous discrete ... See more keywords
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Published in 2021 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2020.1829165
Abstract: For states estimation problem of continuous–discrete systems, the numerical approximation methods with high order of accuracy are commonly used to build the continuous–discrete filtering algorithms. However, there is a common contradiction between the computational efficiency…
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Keywords:
cubature kalman;
kalman filtering;
kalman;
extended cubature ... See more keywords
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Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2122901
Abstract: This paper focuses on the structural stability and stabilisation of the continuous-discrete fractional-order two-dimensional Fornasini-Marchesini first model. The sufficient and necessary stability conditions are given in polynomial form at first. Secondly, to make the problem…
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Keywords:
stabilisation;
discrete fractional;
continuous discrete;
stability ... See more keywords
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Published in 2023 at "IEEE Access"
DOI: 10.1109/access.2023.3234102
Abstract: The increased integration of distributed energy resources (DERs) in the distribution network with intermittent generation profiles will likely make voltage regulation a difficult task. However, DERs bring both challenges and opportunities, as they can provide…
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Keywords:
distribution grid;
control;
voltage;
continuous discrete ... See more keywords
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Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.1109/lcsys.2022.3164262
Abstract: In this letter, a new observer is proposed for the state estimation of time-invariant systems with multiple outputs providing non periodic and asynchronous measurements. The state of the proposed hybrid observer is made up of…
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Keywords:
asynchronous measurements;
time;
discrete time;
output ... See more keywords