Stability of Switched Linear Differential Systems

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Jonathan Carlos Mayo-Maldonado (Author) Other; Paolo Rapisarda (Author) Other; Paula Rocha (Author) FEUP

Journal

Title: IEEE Transactions on Automatic Control

Vol. 59

Pages: 2038-2051

ISSN: 0018-9286

Publisher: IEEE

Indexing

ISI Web of Knowledge - 21 Citations

ISI Web of Science

Scopus - 22 Citations

Scientific classification

FOS: Engineering and technology

Other information

Authenticus ID: P-009-QSC

DOI: 10.1109/tac.2014.2314521

Abstract (EN): We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14