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

While state estimation techniques are routinely applied to systems represented by ordinary
differential equation (ODE) models, it remains a challenging task to design an observer for a …

This paper studies scalar integral inequalities in one-dimensional bounded domains with
polynomial integrands. We propose conditions to verify the integral inequalities in terms of …

In this work, we consider the estimation of temperature along the pipes of concentric heat
exchanger tubes in which CO 2 is the working fluid. The transport phenomenon is modeled …

Nonlocal terms have been the mainstay of the applications of partial differential equation
(PDE) backstep** methods to parabolic PDEs. The problem of similar nonlocal terms for …

The adaptive boundary stabilization is investigated for a class of systems described by first‐
order hyperbolic PDEs with unknown spatially varying parameter. Towards the system …

This article addresses the problem of high-gain observer design for a class of quasi-linear
hyperbolic systems (with one characteristic velocity), possibly including nonlocal terms …

This paper deals with the state fault detection scheme for distribution flow networks subject
to continuously varying conditions at boundaries. A robust PDE detection observer for …

The problem of estimating the temperatures and the heat transfer coefficient of a concentric
tube heat exchanger coupled with a heater is considered in this work. Measurements …

Joint uncertainties and state estimation of a class of linearly coupled hyperbolic partial
differential equation systems in the presence of unstructured and structured uncertainties …