This paper addresses the semi-global stabilization problem of parabolic PDE–ODE systems
with input saturation. Two low-gain controllers are proposed for two types of systems. It is …

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 …

Finite-dimensional observer-based controller design for PDEs is a challenging problem.
Recently, such controllers were introduced for the one dimensional (1D) heat equation …

This paper discusses the boundary feedback stabilization of a reaction–diffusion equation
with Robin boundary conditions and in the presence of a time-varying state-delay. The …

In this work, we deal with the global well-posedness and stability of the linear and nonlinear
Korteweg-de Vries equations on a finite star-shaped network by acting with saturated …

In this article, it is shown that there exist a finite number of indicator functions, which allow us
to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated …

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 …

The paper describes a novel method of sampled-data in space (spatial variable) nonlinear
control of scalar semilinear parabolic and hyperbolic systems with unknown parameters …

This work studies stability and robustness of a nonlinear system given as an interconnection
of an ODE and a parabolic PDE subjected to external disturbances entering through the …

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