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On the construction of invariant proper C-polytopic sets for continuous-time linear systems

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3 Author(s)
Nikolaos Athanasopoulos ; Department of Electrical Engineering, Eindhoven University of Technology, The Netherlands ; Mircea Lazar ; George Bitsoris

This paper presents a method for iteratively enlarging a given invariant (contractive) proper C-polytopic set for continuous-time linear systems. It is proven that the proposed algorithm generates a monotonic sequence of invariant (contractive) proper C-polytopic sets. The distinguishing feature of the algorithm is a novel, geometric approach to the set expansion problem. Several examples demonstrate the effectiveness of the proposed method.

Published in:

System Theory, Control and Computing (ICSTCC), 2012 16th International Conference on

Date of Conference:

12-14 Oct. 2012