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)
Full text not available from this repository.Abstract
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: | https://doi.org/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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