In this work, we consider the problem of boundary stabilization for a quasilinear 2\times2
system of first-order hyperbolic PDEs. We design a new full-state feedback control law, with …

We solve the problem of stabilization of a class of linear first-order hyperbolic systems
featuring n rightward convecting transport PDEs and one leftward convecting transport PDE …

The paper presents an observer design for a class of hyperbolic PDE–ODE cascade
systems with a boundary measurement. The cascade systems consist of coupled PDEs …

The problem of boundary stabilization is considered for some classes of coupled parabolic
linear PDEs of the reaction–diffusion type. With reference to n coupled equations, each one …

We address the problem of adaptive output-feedback stabilization of general first-order
hyperbolic partial integro-differential equations (PIDE). Such systems are also referred to as …

The problem of output feedback boundary stabilization is considered for n coupled plants,
distributed over the one-dimensional spatial domain 0, 1 where they are governed by linear …

We consider the problems of trajectory generation and tracking for general 2× 2 systems of
first-order linear hyperbolic PDEs with anti-collocated boundary input and output. We solve …

We review recent advances in the suppression of the slugging phenomenon by model-
based control. We focus on three aspects of recent contributions: models, observers and …

We propose an adaptive observer scheme to estimate boundary parameters in first-order
hyperbolic systems of Partial Differential Equations (PDE). The considered systems feature …

We present an adaptive observer design for a first-order hyperbolic system of Partial
Differential Equations with uncertain boundary parameters. The design relies on boundary …