In this paper, a strict Lyapunov function is developed in order to show the exponential
stability and input-to-state stability (ISS) properties of a diffusion equation for …

Recent advances in the use of Artificial Intelligence to control complex systems make it
suitable for profile plasma control. In this work, we propose an algorithm based on Deep …

A real-time model-based controller is developed for the tracking of the distributed safety-
factor profile in a tokamak plasma. Using relevant physical models and simplifying …

Tokamak reactors pose a myriad of interesting control challenges that have been tackled
(with more or less success) over the past few decades. However, until recently, most of the …

In this paper we present a Lyapunov based feedback design strategy, by employing the sum-
of-squares polynomials framework, to maximize the bootstrap current in tokamaks. The …

In this paper, we address stability of parabolic linear Partial Differential Equations (PDEs).
We consider PDEs with two spatial variables and spatially dependent polynomial …

Simple physical models are often difficult to obtain for nonhomogeneous transport
phenomena that involve complex couplings between several distributed variables, such as …

The dissertation is devoted to develo** a methodology of stability and stabilization for the
linear parameter-dependent (PD) and time-delay systems (TDSs) subject to control …

In this work we address the problems of stability analysis and controller synthesis for one
dimensional linear parabolic Partial Differential Equations (PDEs). To achieve the tasks of …

This thesis focuses on the integration of robustness and stability guarantees in feedback
controllers modeled by deep neural networks (DNNs), also known as neural controllers. The …