[PDF][PDF] A mathematical model for the robust blood glucose tracking
W Liu - Mathematical Biosciences and Engineering, 2019 - aimspress.com
In this paper, we study the problem of the robust blood glucose tracking. Tracking here
means that the error between a state variable of a system under control and its desired time …
means that the error between a state variable of a system under control and its desired time …
The exponential tracking and disturbance rejection for the nonlinear wave equation via boundary control without any geometrical conditions on the domain
W Liu - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
We consider the problem of exponential tracking and disturbance rejection for the nonlinear
unstable gradient-dependent wave equation via boundary control without any geometrical …
unstable gradient-dependent wave equation via boundary control without any geometrical …
[HTML][HTML] Decay rates of energy of the 1D damped original nonlinear wave equation
W Liu - Nonlinear Analysis: Real World Applications, 2022 - Elsevier
We consider the decay rate of energy of the 1D damped original nonlinear wave equation.
We first construct a new energy function. Then, employing the perturbed energy method and …
We first construct a new energy function. Then, employing the perturbed energy method and …
Blood glucose regulation in patients with type 1 diabetes mellitus: a robust MRAC approach
This paper deals with the problem of robust blood glucose regulation in critically ill patients
affected by type 1 diabetes mellitus. The blood glucose measurement and insulin infusion …
affected by type 1 diabetes mellitus. The blood glucose measurement and insulin infusion …
The exponential tracking and disturbance rejection for the unstable Burgers' equation with general references and disturbances
W Liu - arXiv preprint arXiv:2107.14307, 2021 - arxiv.org
In solving the problem of asymptotic tracking and disturbance rejection, it has been long
always assumed that the reference to be tracked and the disturbance to be rejected must be …
always assumed that the reference to be tracked and the disturbance to be rejected must be …
The exponential tracking and disturbance rejection of the propagated membrane action potential with conductance coefficient feedforward controllers
W Liu - Authorea Preprints, 2023 - techrxiv.org
In the early 1950's, using their experimental data, Hodgkin and Huxley constructed the
sodium and potassium conductance feedback controllers for their mathematical model of the …
sodium and potassium conductance feedback controllers for their mathematical model of the …
Exponential tracking of general references and rejection of general disturbances for nonlinear control systems with applications to the blood glucose regulation system
W Liu - Authorea Preprints, 2023 - techrxiv.org
In solving the problem of exponential tracking and disturbance rejection, it has been long
always assumed that the reference to be tracked and the disturbance to be rejected are …
always assumed that the reference to be tracked and the disturbance to be rejected are …
[PDF][PDF] Feedback and Feedforward Control for Linear Differential Equations
W Liu - 2022 - researchgate.net
Mathematical control theory of applied partial differential equations is built on linear and
nonlinear functional analysis and many existence theorems in control theory result from …
nonlinear functional analysis and many existence theorems in control theory result from …
Robust Model Reference Adaptive Control for an Insulin-Glucose Model
JRT Franco-Jaramillo, HCT Ríos… - revistadigital.amca.mx
In this paper, a robust nonlinear model reference adaptive controller is proposed to solve the
problem of blood glucose regulation for critically ill patients affected by type 1 diabetes …
problem of blood glucose regulation for critically ill patients affected by type 1 diabetes …