On Duality for Lyapunov Functions of Nonstrict Convex Processes

Jaap Eising; M. Kanat Camlibel

doi:10.1109/CDC42340.2020.9304205

On Duality for Lyapunov Functions of Nonstrict Convex Processes

Jaap Eising, M. Kanat Camlibel

Systems, Control and Applied Analysis

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

1 Citation (Scopus)

81 Downloads (Pure)

Abstract

This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used definitions. In addition the paper presents conditions under which a weak Lyapunov function for a convex process yields a strong Lyapunov function for the dual of the convex process.

Original language	English
Title of host publication	2020 59th IEEE Conference on Decision and Control, CDC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1288-1293
Number of pages	6
ISBN (Electronic)	9781728174471
DOIs	https://doi.org/10.1109/CDC42340.2020.9304205
Publication status	Published - 14-Dec-2020
Event	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of Duration: 14-Dec-2020 → 18-Dec-2020

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2020-December
ISSN (Print)	0743-1546

Conference

Conference	59th IEEE Conference on Decision and Control, CDC 2020
Country/Territory	Korea, Republic of
City	Virtual, Jeju Island
Period	14/12/2020 → 18/12/2020

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10.1109/CDC42340.2020.9304205

On Duality for Lyapunov Functions of Nonstrict Convex ProcessesFinal publisher's version, 274 KBLicence: Taverne

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Eising, J., & Camlibel, M. K. (2020). On Duality for Lyapunov Functions of Nonstrict Convex Processes. In 2020 59th IEEE Conference on Decision and Control, CDC 2020 (pp. 1288-1293). Article 9304205 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC42340.2020.9304205

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abstract = "This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used definitions. In addition the paper presents conditions under which a weak Lyapunov function for a convex process yields a strong Lyapunov function for the dual of the convex process.",

author = "Jaap Eising and Camlibel, {M. Kanat}",

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doi = "10.1109/CDC42340.2020.9304205",

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Eising, J & Camlibel, MK 2020, On Duality for Lyapunov Functions of Nonstrict Convex Processes. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9304205, Proceedings of the IEEE Conference on Decision and Control, vol. 2020-December, Institute of Electrical and Electronics Engineers Inc., pp. 1288-1293, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 14/12/2020. https://doi.org/10.1109/CDC42340.2020.9304205

On Duality for Lyapunov Functions of Nonstrict Convex Processes. / Eising, Jaap; Camlibel, M. Kanat.
2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 1288-1293 9304205 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December).

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

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AB - This paper provides a novel definition for Lyapunov functions for difference inclusions defined by convex processes. It is shown that this definition reflects stability properties of nonstrict convex processes better than previously used definitions. In addition the paper presents conditions under which a weak Lyapunov function for a convex process yields a strong Lyapunov function for the dual of the convex process.

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On Duality for Lyapunov Functions of Nonstrict Convex Processes

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