[HTML][HTML] Application of the Newton iteration algorithm to the parameter estimation for dynamical systems

L Xu - Journal of Computational and Applied Mathematics, 2015 - Elsevier
This paper uses the Newton iteration to study new identification methods for determining the
parameters of dynamical systems from step responses. On the basis of the step response …

Optimal state-delay control in nonlinear dynamic systems

C Liu, R Loxton, KL Teo, S Wang - Automatica, 2022 - Elsevier
This paper considers a class of nonlinear systems in which the control function is a time-
varying state-delay. The optimal control problem is to optimize the time-varying delay and a …

Parameter estimation algorithms for Hammerstein output error systems using Levenberg–Marquardt optimization method with varying interval measurements

J Li, WX Zheng, J Gu, L Hua - Journal of the Franklin Institute, 2017 - Elsevier
This paper studies the parameter estimation problem of Hammerstein output error
autoregressive (OEAR) systems. According to the maximum likelihood principle and the …

Robust bi-objective optimal control of 1, 3-propanediol microbial batch production process

C Liu, Z Gong, HWJ Lee, KL Teo - Journal of Process Control, 2019 - Elsevier
This paper considers optimal control of glycerol producing 1, 3-propanediol (1, 3-PD) in
batch process with uncertain time-delay and kinetic parameters. Based on a dynamic system …

Set stability and synchronization of logical networks with probabilistic time delays

X Ding, H Li, S Wang - Journal of the Franklin Institute, 2018 - Elsevier
Using the algebraic state space representation (ASSR) method, this paper investigates the
set stability and synchronization of Boolean networks with probabilistic time delays (PTDs) …

Global dynamics of a time-delayed microorganism flocculation model with saturated functional responses

S Guo, W Ma, XQ Zhao - Journal of Dynamics and Differential Equations, 2018 - Springer
In this paper, a time-delayed model of microorganism flocculation with saturated functional
responses is presented. We first analyse the local dynamics of this model with bifurcations in …

[HTML][HTML] Distributionally robust parameter identification of a time-delay dynamical system with stochastic measurements

Z Gong, C Liu, KL Teo, J Sun - Applied Mathematical Modelling, 2019 - Elsevier
In this paper, we consider a parameter identification problem involving a time-delay
dynamical system, in which the measured data are stochastic variable. However, the …

Robust optimal control for a batch nonlinear enzyme-catalytic switched time-delayed process with noisy output measurements

J Yuan, L Wang, J Zhai, KL Teo, C Yu, M Huang… - Nonlinear Analysis …, 2021 - Elsevier
In this paper, we consider a nonlinear switched time-delayed (NSTD) system with an
unknown time-varying function describing the batch culture. The output measurements are …

Modelling and parameter identification for a two-stage fractional dynamical system in microbial batch process

C Liu, X Yi, Y Feng - Nonlinear Analysis: Modelling and Control, 2022 - zurnalai.vu.lt
In this paper, we consider mathematical modelling and parameter identification problem in
bioconversion of glycerol to 1, 3-propanediol by Klebsiella pneumoniae. In view of the …

Robust optimal control of a microbial batch culture process

G Cheng, L Wang, R Loxton, Q Lin - Journal of Optimization Theory and …, 2015 - Springer
This paper considers the microbial batch culture process for producing 1, 3-propanediol (1,
3-PD) via glycerol fermentation. Our goal was to design an optimal control scheme for this …