This paper develops boundary feedback control laws to reduce stop-and-go oscillations in
congested traffic. The macroscopic traffic dynamics are governed by Aw–Rascle–Zhang …

We solve the problem of stabilizing a linear ODE having a system of a linearly coupled
hyperbolic PDEs in the actuating path. The control design is based on a backstepping …

This contribution presents the backstepping design of output feedback regulators for
boundary controlled linear 2× 2 hyperbolic systems, that achieve regulation in finite time. It is …

Motivated by vibration control of a mining cable elevator avoiding frequent actions of a
massive actuator, which is a hydraulic cylinder driving a head sheave, we present an event …

This paper deals with the stability analysis of a system of finite dimension coupled to a
vectorial transport equation. We develop here a new method to study the stability of such a …

This paper deals with the problem of boundary stabilization of first-order n*n
inhomogeneous quasi-linear hyperbolic systems. A backstepping method is developed. The …

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems.
Considered systems feature an arbitrary number of coupled transport PDEs convecting in …

We detail in this article the development of a delay-robust stabilizing state feedback control
law for an underactuated network of two subsystems of heterodirectional linear first-order …

This paper is devoted to a simple and new proof on the optimal finite control time for general
linear coupled hyperbolic system by using boundary feedback on one side. The feedback …

Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …