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 …

We consider delayed boundary stabilization of a one-dimensional reaction-diffusion
equation under boundary delayed measurements. We design an observer-based control …

Recently, finite-dimensional observer-based controllers were introduced for 1D parabolic
PDEs via the modal decomposition method. In the present paper we suggest a sampled …

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 …

In chemical, biological, or population (epidemiological) processes the feedback action may
be considerably delayed by time-consuming chemical measurements or biological tests …

Recently a constructive method was introduced for finite-dimensional observer-based
control of 1D parabolic PDEs. In this paper we present an improved method in terms of the …

This paper is concerned with the output feedback boundary stabilization of general 1-D
reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the …

With deep neural network approximations of PDE backstep**, for each new functional
coefficient of the PDE plant, the gains are obtained through a function evaluation. In this …

This paper investigates the output feedback boundary control of reaction–diffusion
equations with either distributed or boundary measurement by means of a finite-dimensional …

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 …