Abstract Professor Vadim I. Utkin, long recognized for his powerful sliding mode control
approach, which he founded in the early 1960s, passed away on September 18, 2022. The …

In the attitude tracking control tasks of rigid bodies with partially filled cavities, liquid sloshing
is a crucial characteristic that hinders effective controller design and accuracy improvement …

This paper addresses the output feedback stabilization of an ODE–PDE cascade. The PDE
takes the form of a 1-D reaction–diffusion equation. The output of the ODE enters into the …

This paper addresses the topic of event-triggered output feedback stabilization of reaction-
diffusion PDEs. The control applies at the boundary while the output is distributed. The …

This article is concerned with the local output feedback stabilization of a nonlinear Kuramoto–
Sivashinsky equation. The control is located at the boundary of the domain while the …

This paper addresses the topic of global output feedback stabilization of semilinear reaction-
diffusion PDEs. The semilinearity is assumed to be confined into a sector condition. We …

This chapter reviews some recent results on the boundary stabilization of different classes of
partial differential equations. In order to provide a self-content chapter with consistent control …

The present paper constructs a finite-dimensional observer subject to boundary
measurement for a cascaded heat-heat system with different reaction coefficients. The …

This paper is concerned with the boundary output stabilization of a reaction-diffusion
equation in H 2-norm. Stabilizability of reaction-diffusion PDEs is most often studied in L 2 …