TY  - CHAP
SN  - 978-1-4673-2064-1
AV  - none
N1  - 51st IEEE Conference on Decision and Control December 10-13, 2012. Maui, Hawaii, USA
N2  - This paper analyzes stability of discrete-time piecewise-affine systems defined on non-invariant domains. An algorithm based on linear programming is proposed, in order to prove the exponential stability of the origin and to find a positively invariant estimate of the region of attraction. The theoretical results are based on the definition of a piecewise-affine, possibly discontinuous, Lyapunov function. The proposed method presents a relatively low computational burden, and is proven to lead to feasible solutions in a broader range of cases with respect to a previously proposed approach.
SP  - 4235 
TI  - Stability analysis of discrete-time piecewise-affine systems over non-invariant domains
EP  - 4240
ID  - eprints1472
PB  - IEEE
Y1  - 2012/12//
A1  - Rubagotti, Matteo
A1  - Zaccarian, Luca
A1  - Bemporad, Alberto
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426761&isnumber=6425800
KW  - Closed loop systems; Control theory; Lyapunov methods; Reachability analysis; Stability analysis; Vectors; Xenon
T2  - Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012
ER  -