Switched mRPI Sets are Strictly Contained in Time-Delay mRPI Sets

Title: Switched mRPI Sets are Strictly Contained in Time-Delay mRPI Sets
Creator: Townsend, Christopher; Olaru, Sorin; Seron, Maria M.; De Dona, Jose
Relation: 2020 Australian and New Zealand Control Conference (ANZCC). Proceedings of the 2020 Australian and New Zealand Control Conference (ANZCC) (Gold Coast, Qld. 26-27 November, 2020) p. 7-11
Publisher Link: http://dx.doi.org/10.1109/ANZCC50923.2020.9318370
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2020
Description: We examine the relationship between the minimal robust positively invariant sets, mRPI, of discrete-time switched and time-delay systems. Assuming the existence of the mRPI sets for each system, we show that the mRPI set of a finitely many sub-system switched system is strictly contained in the mRPI of a corresponding time delay system. We further demonstrate that the minimal convex robust positively invariant set of either a time-delay or, the corresponding, switched system is the convex hull of the mRPI of either system.
Subject: switched systems; economic indicators; switches; delay effects; linear systems
Identifier: http://hdl.handle.net/1959.13/1433716
Identifier: uon:39333
Identifier: ISBN:9781728199924
Language: eng
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