relation: http://eprints.imtlucca.it/1811/
title: Stability and Invariance Analysis of Uncertain Discrete-Time Piecewise Affine Systems
creator: Rubagotti, Matteo
creator: Trimboli, Sergio
creator: Bemporad, Alberto
subject: TK Electrical engineering. Electronics Nuclear engineering
description: This note proposes a method to analyze uniform asymptotic stability and uniform ultimate boundedness of uncertain piecewise affine systems whose dynamics are only defined in a bounded and possibly non-invariant set X of states. The approach relies on introducing fake dynamics outside X and on synthesizing a piecewise affine and possibly discontinuous Lyapunov function via linear programming. The existence of such a function proves stability properties of the original system and allows the determination of a region of attraction contained in X. The procedure is particularly useful in practical applications for analyzing the stability of piecewise affine control systems that are only defined over a bounded subset X of the state space, and to determine whether for a given set of initial conditions the trajectories of the state vector remain within the domain X.
publisher: IEEE 
date: 2013-09
type: Article
type: PeerReviewed
identifier:   Rubagotti, Matteo and Trimboli, Sergio and Bemporad, Alberto  Stability and Invariance Analysis of Uncertain Discrete-Time Piecewise Affine Systems.  IEEE Transactions on Automatic Control , 58 (9).  pp. 2359-2365.  ISSN 0018-9286      (2013)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6475975&isnumber=6581905
relation: 10.1109/TAC.2013.2251774