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On the computation of lambda-contractive sets for linear constrained systems

Abstract:
We present two theoretical results on the computation of λ-contractive sets for linear systems with state and input constraints. First, we show that it is possible to a priori compute a number of iterations that is sufficient to approximate the maximal λ-contractive set with a given precision using 1-step sets. Second, based on the former result, we provide a procedure for choosing λ so that the associated maximal λ-contractive set is guaranteed to approximate the maximal controlled invariant set with a given accuracy.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1109/TAC.2016.2579742

Authors


Schulze Darup, M More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Publisher:
IEEE Publisher's website
Journal:
IEEE Transactions on Automatic Control Journal website
Volume:
63
Issue:
3
Pages:
1498-1504
Publication date:
2016-06-10
Acceptance date:
2016-06-07
DOI:
EISSN:
1558-2523
ISSN:
0018-9286
URN:
uuid:f644e27e-d774-47c2-8081-d26458e2cf50
Source identifiers:
629607
Local pid:
pubs:629607

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