TY - GEN
T1 - Stability and invariance analysis of uncertain PWA systems based on linear programming
AU - Trimboli, Sergio
AU - Rubagotti, Matteo
AU - Bemporad, Alberto
PY - 2011/12/1
Y1 - 2011/12/1
N2 - This paper analyzes stability of discrete-time uncertain piecewise-affine systems whose dynamics are defined on a bounded set X 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.
AB - This paper analyzes stability of discrete-time uncertain piecewise-affine systems whose dynamics are defined on a bounded set X 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.
UR - http://www.scopus.com/inward/record.url?scp=84860654514&partnerID=8YFLogxK
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U2 - 10.1109/CDC.2011.6160843
DO - 10.1109/CDC.2011.6160843
M3 - Conference contribution
AN - SCOPUS:84860654514
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 7398
EP - 7403
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -