Lyapunov stability of 2D finite-dimensional behaviours

• Type: Article in International Scientific Journal
• Date: 2011

Authors

Napp Avelli, DN (Author) Other; Rapisarda, P (Author) Other; Rocha, P (Author) FEUP

Journal

Title: International Journal of Control

Vol. 84

Pages: 737-745

ISSN: 0020-7179

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 12 Citations

ISI Web of Science

Scopus - 12 Citations

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-002-XH0

DOI: 10.1080/00207179.2011.575800

Abstract (EN): In this article we investigate a Lyapunov approach to the stability of finite-dimensional 2D systems. We use the behavioural framework and consider a notion of stability following the ideas in Pillai and Shankar [H. Pillai and S. Shankar (1998). A Behavioral Approach to Control of Distributed Systems, SIAM Journal of Control and Optimization, 37, 388-408], Rocha [P. Rocha (2008). Stabilization of Multidimensional Behaviors, Multidimensional Systems and Signal Processing, 19, 273-286], Valcher [M. Valcher (2000). Characteristic Cones and Stability Properties of Two-dimensional Autonomous Behaviors, IEEE Transactions on Circuits and Systems, Part I, CAS-47, 290-302]. We characterise stability in terms of the existence of a (quadratic) Lyapunov function and provide a constructive algorithm for the computation of all such Lyapunov functions.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9