Constructive method for finite-dimensional observer-based control of 1-D parabolic PDEs

R Katz, E Fridman - Automatica, 2020 - Elsevier
The objective of the present paper is finite-dimensional observer-based control of the 1-D
linear heat equation with constructive and feasible design conditions. We propose a method …

Boundary delayed observer-controller design for reaction–diffusion systems

R Katz, E Fridman, A Selivanov - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We consider delayed boundary stabilization of a one-dimensional reaction-diffusion
equation under boundary delayed measurements. We design an observer-based control …

Finite-time fuzzy bounded control for semilinear PDE systems with quantized measurements and Markov jump actuator failures

X Song, M Wang, CK Ahn… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article presents a novel reliable fuzzy output feedback controller for a class of
semilinear parabolic partial differential equation systems with Markov jump actuator failures …

Delayed finite-dimensional observer-based control of 1-D parabolic PDEs

R Katz, E Fridman - Automatica, 2021 - Elsevier
In our recent paper a constructive method for finite-dimensional observer-based control of 1-
D linear heat equation was suggested. In the present paper we aim to extend this method to …

Exponential stabilization of reaction–diffusion systems via intermittent boundary control

XZ Liu, KN Wu, ZT Li - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
Exponential stabilization is studied for reaction–diffusion systems (RDSs) with a reaction
term satisfying the global Lipschitz condition by means of intermittent boundary control. First …

Event-triggered passivity of multi-weighted coupled delayed reaction-diffusion memristive neural networks with fixed and switching topologies

Y Huang, S Lin, E Yang - … in Nonlinear Science and Numerical Simulation, 2020 - Elsevier
This paper solves the event-triggered passivity problem for multiple-weighted coupled
delayed reaction-diffusion memristive neural networks (MWCDRDMNNs) with fixed and …

Boundary Mittag-Leffler stabilization of fractional reaction–diffusion cellular neural networks

XZ Liu, ZT Li, KN Wu - Neural Networks, 2020 - Elsevier
Mittag-Leffler stabilization is studied for fractional reaction–diffusion cellular neural networks
(FRDCNNs) in this paper. Different from previous literature, the FRDCNNs in this paper are …

Quasisynchronization of reaction–diffusion neural networks under deception attacks

R Zhang, H Wang, JH Park, HK Lam… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
This study focuses on the quasisynchronization problem for reaction–diffusion neural
networks (RDNNs) in the presence of deception attacks. Under deception attacks, a time …

Constructive finite-dimensional boundary control of stochastic 1D parabolic PDEs

P Wang, R Katz, E Fridman - Automatica, 2023 - Elsevier
Recently, a constructive method for the finite-dimensional observer-based control of
deterministic parabolic PDEs was suggested by employing a modal decomposition …

Finite-Dimensional Boundary Control of the Linear Kuramoto-Sivashinsky Equation Under Point Measurement With Guaranteed -Gain

R Katz, E Fridman - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
Finite-dimensional observer-based controller design for PDEs is a challenging problem.
Recently, such controllers were introduced for the one dimensional (1D) heat equation …