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.
|Title of host publication||Proceedings of the 16th International Conference on System Theory, Control and Computing (ICSTCC), October 11-13 2012, Sinaia, Romania|
|Place of Publication||Piscataway|
|Publisher||Institute of Electrical and Electronics Engineers|
|Publication status||Published - 2012|