Topology-Independent Robust Stability of Homogeneous Dynamic Networks

Blanchini, Franco; Casagrande, Daniele; Giordano, G.; Viaro, Umberto

Topology-Independent Robust Stability of Homogeneous Dynamic Networks

Journal article (2017)

Authors

Franco Blanchini Università degli Studi di Udine

Daniele Casagrande Università degli Studi di Udine

G. Giordano Lund University

Umberto Viaro Università degli Studi di Udine

Affiliation

External organisation

Feedback Robust stability Dynamical networks Directed graphs Nyquist diagram

To reference this document use:

http://resolver.tudelft.nl/uuid:7c77089c-dbfe-4f4e-bc06-efec84b76949

More Info

expand_more

Published Date

01-07-2017

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Affiliation

External organisation

Abstract

The paper presents conditions for the stability of a dynamical network described by a directed graph, whose nodes represent dynamical systems characterised by the same transfer function F(s) and whose edges account for the interactions between pairs of nodes. In turn, these interactions depend via a transference G(s) on the outputs of the subsystems associated with the connected nodes. The stability conditions are topology-independent, in that they hold for all possible connections of the nodes, and robust, in that they allow for uncertainties in the determination of the transferences. Two types of interactions are considered: bidirectional and unidirectional. In the first case, if nodes i and j are connected, both node i affects node j and node j affects node i, while in the second case only one of the two occurrences is admitted. The robust stability conditions are expressed as constraints for the Nyquist diagram of H = FG.