The properties of positively invariant sets are involved in many different problems in control
theory, such as constrained control, robustness analysis, synthesis and optimization. In this …

We consider controllable linear discrete-time systems with bounded perturbations and
present two methods to compute robust controlled invariant sets. The first method tolerates …

This thesis considers the stabilization and the robust stabilization of certain classes of hybrid
systems using model predictive control. Hybrid systems represent a broad class of …

This work proposes an approach to replace the use of a robust control invariant set by a pair
of simpler sets that provide an inner and an outer approximation of the former. In the …

This paper introduces the concept of optimized robust control invariance for discrete-time
linear time-invariant systems subject to additive and bounded state disturbances. A novel …

A receding horizon predictive control method which assures stability for systems with model
uncertainty and input saturation is derived by extending earlier work in two important …

In this paper we consider the stabilization problem for linear continuous-time systems, under
state and control constraints. We show that the largest domain of attraction to the origin can …

We consider the design of reliable neural network (NN)-based approximations of traditional
stabilizing controllers for linear systems affected by polytopic uncertainty, including …

This paper presents a new (geometrical) approach to the computation of polyhedral
(robustly) positively invariant (PI) sets for general (possibly discontinuous) nonlinear discrete …

Model predictive control (MPC) has recently been applied to several relevant classes of
hybrid systems with promising results. These developments generated an increasing …