The method of “integrator backstepping” emerged around 1990 as a robust version of
feedback linearization for nonlinear systems with uncertainties. Backstepping was …

This book presents methods to study the controllability and the stabilization of nonlinear
control systems in finite and infinite dimensions. The emphasis is put on specific phenomena …

The Stefan PDE system is a representative model for thermal phase change phenomena,
such as melting and solidification, arising in numerous science and engineering processes …

The traditional Stefan problems concerning solidification or liquidisation phenomena of a
phase changing bar are revisited in this paper. Both single and double phase models are …

The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

We use viability techniques for solving Dirichlet problems with inequality constraints
(obstacles) for a class of Hamilton–Jacobi equations. The hypograph of the “solution” is …

Neurological disorders, such as spinal cord injuries, Parkinson's disease and Alzheimer's
disease, limit the functionality of neurons. A recent medical therapy, Chondroitinase ABC …

We present an optimal control approach for the solidification process of a melt in a container.
The process is described by a two phase Stefan problem with the free boundary (interface …

We study the tracking or sidewise controllability of the heat equation. More precisely, we
seek for controls that, acting on part of the boundary of the domain where the heat process …

Spectral analysis is considered for the flatness-based solution of the trajectory planning
problem for a boundary controlled diffusion–reaction system defined on a 1≤ r-dimensional …