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 …

The problem of optimal state estimation via deterministic Kalman filtering in the time and in
the frequency domains is considered. The frequency domain method based on spectral …

This paper addresses the problem of input-to-state stabilization for heat equation with
external input via boundary control strategy. Following Polyakov et al., 2017, based on the …

Recently, a constructive method for the finite-dimensional observer-based control of
deterministic parabolic PDEs was suggested by employing a modal decomposition …

This paper addresses the boundary output feedback stabilisation of a general class of 1-D
reaction–diffusion PDEs with delayed boundary measurement. The output takes the form of …

Sampled-data control of PDEs has become an active research area; however, existing
results are confined to deterministic PDEs. Sampled-data controller design of stochastic …

This article investigates the output feedback setpoint regulation control of a reaction–
diffusion equation by means of boundary control. The considered reaction–diffusion plant …

This article is concerned with the output feedback stabilization of a reaction–diffusion
equation by means of bounded control inputs in the presence of saturations. Using a finite …

This paper studies the feedback stabilization of abstract Cauchy problems with unbounded
output operators by finite-dimensional controllers. Both necessary conditions and sufficient …

This paper is concerned with the proportional integral (PI) regulation control of the left
Neumann trace of a one-dimensional semilinear wave equation. The control input is …