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

N. Athanasopoulos; M. Lazar; G. Bitsoris

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

N. Athanasopoulos, M. Lazar, G. Bitsoris

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

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.

Original language	English
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
Pages	1-6
ISBN (Print)	978-1-4673-4534-7
Publication status	Published - 2012

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title = "On the construction of invariant proper C-polytopic sets for continuous-time linear systems",

abstract = "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.",

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On the construction of invariant proper C-polytopic sets for continuous-time linear systems. / Athanasopoulos, N.; Lazar, M.; Bitsoris, G.

Proceedings of the 16th International Conference on System Theory, Control and Computing (ICSTCC), October 11-13 2012, Sinaia, Romania. Piscataway : Institute of Electrical and Electronics Engineers, 2012. p. 1-6.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - 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.

AB - 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.

M3 - Conference contribution

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BT - Proceedings of the 16th International Conference on System Theory, Control and Computing (ICSTCC), October 11-13 2012, Sinaia, Romania

PB - Institute of Electrical and Electronics Engineers

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