This tutorial paper is concerned with the identification of hybrid models, ie dynamical models
whose behavior is determined by interacting continuous and discrete dynamics. Methods …

As a powerful modelling method, piecewise linear neural networks (PWLNNs) have proven
successful in various fields, most recently in deep learning. To apply PWLNN methods, both …

During the past several years, there have been increasing research activities in the field of
stability analysis and switching stabilization for switched systems. This paper aims to briefly …

This paper addresses the problem of stability analysis and control synthesis of switched
systems in the discrete-time domain. The approach followed in this paper looks at the …

This paper establishes equivalences among five classes of hybrid systems: mixed logical
dynamical (MLD) systems, linear complementarity (LC) systems, extended linear …

This book provides a comprehensive treatment of the principles underlying optimal
constrained control and estimation. The contents progress from optimisation theory, fixed …

We propose a new technique for the identification of discrete-time hybrid systems in the
piecewise affine (PWA) form. This problem can be formulated as the reconstruction of a …

In this paper, stability analysis of traffic control for two-region urban cities is treated. It is
known in control theory that optimality does not imply stability. If the optimal control is …

In this chapter we study the solution to optimal control problems for discrete time linear
hybrid systems. First, we show that the closed form of the state feedback solution to finite …

This paper proposes a three-stage procedure for parametric identification of piecewise affine
autoregressive exogenous (PWARX) models. The first stage simultaneously classifies the …