TY  - CHAP
T2  - Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)
EP  - 7403
N1  - This work was partially supported by the European Commission under project FP7-INFSO-ICT-248858 ?MOBY-DIC ? Model-based synthesis of digital electronic circuits for embedded control?.
ID  - eprints1211
UR  - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6160843&isnumber=6159299
TI  - Stability and invariance analysis of uncertain PWA systems based on linear programming
AV  - none
Y1  - 2011/12//
KW  - Asymptotic stability
KW  -  Control systems
KW  -  Economic indicators
KW  -  Lyapunov methods
KW  -  Numerical stability
KW  -  Stability analysis
KW  -  Xenon 
SP  - 7398 
N2  - This paper analyzes stability of discrete-time uncertain piecewise-affine systems whose dynamics are defined on a bounded set ?; that is not necessarily invariant. The objective is to prove the uniform asymptotic stability of the origin and to find an invariant domain of attraction. This goal is attained by defining a suitable extended dynamics (which is partially fictitious), and by using a numerical procedure based on linear programming. The theoretical results are based on the definition of a piecewise-affine, possibly discontinuous, Lyapunov function.
A1  - Trimboli, Sergio
A1  - Rubagotti, Matteo
A1  - Bemporad, Alberto
PB  - IEEE
SN  - 978-1-61284-800-6
ER  -