Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …

We study the boundary stabilization of Generic Second Order Macroscopic traffic models in
Lagrangian coordinates. These consist in nonlinear hyperbolic systems of balance …

This paper investigates and provides results, including feedback control, for a nonlinear,
hyperbolic, one-dimensional partial differential equation (PDE) system on a bounded …

The paper provides results for the stabilization of a spatially uniform equilibrium profile for a
scalar conservation law that arises in the study of traffic dynamics under variable speed limit …

Conservation and balance laws on networks have been the subject of much research
interest given their wide range of applications to real-world processes, particularly traffic …

In this paper, we introduce a method to obtain necessary and sufficient stability conditions
for systems governed by one-dimensional nonlinear hyperbolic partial-differential equations …

We develop a control design for stabilization of traffic flow in the congested regime, based
on an Aw-Rascle-Zhang-type (ARZ-type) partial differential equation (PDE) model, for traffic …

The paper deals with the control and regulation by integral controllers for the nonlinear
systems governed by scalar quasi-linear hyperbolic partial differential equations. Both the …

We present a methodology for stabilization of general nonlinear systems with actuator
dynamics governed by a certain class of, quasilinear, first-order hyperbolic PDEs. Since for …

In this paper, we study the exponential stabilization of a shock steady state for the inviscid
Burgers equation on a bounded interval. Our analysis relies on the construction of an explicit …