TY  - JOUR
AV  - restricted
SN  - 0020-7179
ID  - eprints3636
EP  - 959
SP  - 950
TI  - A Lyapunov method for stability analysis of piecewise-affine systems over non-invariant domains
N2  - This paper analyses stability of discrete-time piecewise-affine systems, defined on possibly non-invariant domains, taking into account the possible presence of multiple dynamics in each of the polytopic regions of the system. An algorithm based on linear programming is proposed, in order to prove exponential stability of the origin and to find a positively invariant estimate of its region of attraction. The results are based on the definition of a piecewise-affine Lyapunov function, which is in general discontinuous on the boundaries of the regions. The proposed method is proven to lead to feasible solutions in a broader range of cases as compared to a previously proposed approach. Two numerical examples are shown, among which a case where the proposed method is applied to a closed-loop system, to which model predictive control was applied without a-priori guarantee of stability.
JF  - International Journal of Control
UR  - http://doi.org/10.1080/00207179.2015.1108456
A1  - Rubagotti, Matteo
A1  - Zaccarian, Luca
A1  - Bemporad, Alberto
Y1  - 2016///
VL  - 89
IS  - 5
ER  -