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Stability analysis of discrete-time piecewise-affine systems over non-invariant domains

Rubagotti, Matteo and Zaccarian, Luca and Bemporad, Alberto Stability analysis of discrete-time piecewise-affine systems over non-invariant domains. In: Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012. IEEE, 4235 -4240. ISBN 978-1-4673-2064-1 (2012)

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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.

Item Type: Book Section
Identification Number: 10.1109/CDC.2012.6426761
Additional Information: 51st IEEE Conference on Decision and Control December 10-13, 2012. Maui, Hawaii, USA
Uncontrolled Keywords: Closed loop systems; Control theory; Lyapunov methods; Reachability analysis; Stability analysis; Vectors; Xenon
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 13 Feb 2013 07:46
Last Modified: 13 Feb 2013 07:46
URI: http://eprints.imtlucca.it/id/eprint/1472

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