This paper addresses the optimal control problem of the continuous-time piecewise affine (PWA) systems with autonomous switching executed at each sampling time, which we call sampl...
In this paper, we formulate the problem of characterizing the stability of a piecewise affine (PWA) system as a verification problem. The basic idea is to take the whole Rn as the ...
Alberto Bemporad, Fabio Danilo Torrisi, Manfred Mo...
Abstract. The use of hybrid dynamical systems to model gene regulation is impelled by the switch-like behaviour of the latter. Piecewise affine differential equations is one of the...
In this paper, we show the optimality of a certain class of disturbance-affine control policies in the context of one-dimensional, constrained, multi-stage robust optimization. Ou...
Dimitris Bertsimas, Dan Andrei Iancu, Pablo A. Par...
This paper focuses on the NP-hard problem of reducing the complexity of piecewise polyhedral systems (e.g. polyhedral piecewise affine (PWA) systems). The results are fourfold. Fi...