Structurally quotient fixed modest

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Guilherme Ramos (Author) FEUP; António Pedro Aguiar (Author) FEUP; Sérgio Pequito (Author) Other

Journal

Title: Systems and Control Letters

Vol. 151

Pages: 1-7

ISSN: 0167-6911

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00T-SM4

DOI: 10.1016/j.sysconle.2021.104914

Abstract (EN): We provide a necessary and sufficient graph-theoretical characterization of quotient fixes modes occurring in parametric decentralized control systems. Specifically, we introduce the notion of structurally quotient fixed modes (SQFMs) that generically captures the quotient fixed modes and only depends on the system & rsquo;s structure. Additionally, we provide an efficient polynomial-time algorithm for the verification of this graph-theoretical condition. We show that this algorithm can be parallelized, and linear-time computational complexity approximation algorithms can be considered to attain a sub-optimal solution. Lastly, we discuss the implications of the actuation & ndash;sensing & ndash;communication capabilities and the systems & rsquo; interconnections on the existence of SQFM.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7