Stability of simultaneously block triangularisable switched systems with partial state reset

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Bras, I (Author) Other; Carapito, AC (Author) Other; Rocha, P (Author) FEUP

Journal

Title: International Journal of Control

Vol. 90

Pages: 428-437

ISSN: 0020-7179

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 4 Citations

Other information

Authenticus ID: P-00M-JGE

DOI: 10.1080/00207179.2016.1183174

Abstract (EN): We study the stability of a certain class of switched systems where discontinuous jumps (resets) on some of the state components are allowed, at the switching instants. It is known that, if all components of the state are available for reset, the system can be stabilisable by an adequate choice of resets. However, this question may have negative answer if there are forbidden state components for reset. We give a sufficient condition for the stabilisability of a switched system, under arbitrary switching, by partial state reset in terms of a block simultaneous triangularisability condition. Based on this sufficient condition, we show that the particular class of systems with partially commuting stable system matrices is stabilisable by partial state reset. We also provide an algorithm that allows testing whether a switched system belongs to this particular class of systems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10