TY  - JOUR
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6475975&isnumber=6581905
IS  - 9
KW  - Model predictive control (MPC); piecewise affine (PWA);   piecewise quadratic (PWQ)

AV  - none
ID  - eprints1811
TI  - Stability and Invariance Analysis of Uncertain Discrete-Time Piecewise Affine Systems
SP  - 2359
A1  - Rubagotti, Matteo
A1  - Trimboli, Sergio
A1  - Bemporad, Alberto
VL  - 58
EP  - 2365
PB  - IEEE 
JF  - IEEE Transactions on Automatic Control 
N2  - 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.
Y1  - 2013/09//
SN  - 0018-9286
ER  -