This paper is concerned with boundary dissipative conditions that guarantee the exponential
stability of classical solutions of one-dimensional quasi-linear hyperbolic systems. We …

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 …

We consider the problem of boundary stabilization and state estimation for a 2× 2 system of
first-order hyperbolic linear PDEs with spatially varying coefficients. First, we design a full …

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 article investigates the vulnerabilities of Supervisory Control and Data Acquisition
(SCADA) systems which monitor and control the modern day irrigation canal systems. This …

We address the issue of the exponential stability (in L 2-norm) of the classical solutions of
the linearised Saint-Venant equations for a slo** channel. We give an explicit sufficient …

We find the exact analytical solution to a Goursat PDE system governing the kernels of a
backstep**-based boundary control law that stabilizes a constant-coefficient 2× 2 system …

In this paper, we use swap** design filters to bring systems of n+ 1 partial differential
equations of the hyperbolic type to static form. Standard parameter identification laws can …

In this paper, we prove that the space generated by the solutions of a general class of first-
order hyperbolic PDEs is isomorphic to the space generated by the solutions of a difference …