Topology-Independent Robust Stability Conditions for Uncertain MIMO Networks

Journal article (2021)

Authors

C.A. Devia Pinzon Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering

G. Giordano Università di Trento

Research Group

Team Tamas Keviczky (Mechanical, Maritime and Materials Engineering) (TU Delft)

DOI: https://doi.org/10.1109/LCSYS.2020.3000854

Network analysis and control Uncertain systems Stability of linear systems

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Published Date

2021

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Tamas Keviczky

Abstract

We give a sufficient and a necessary condition for the topology-independent robust stability of networked systems formed by uncertain MIMO systems. Both conditions involve constants associated with the nominal node dynamics and arc interconnection matrices, the uncertainty bounds, and the maximum connectivity degree of the network; they are scalable (they can be checked locally), independent of the network topology and even of the number of nodes and arcs, and hold for networks of heterogeneous MIMO systems and interconnection matrices, with heterogeneous uncertainties. The dual cases of 1-norm and ∞-norm bounds are considered. In both cases, if the systems at the nodes are diagonal, we get a necessary and sufficient condition. We apply our results to the topology-independent robust stability analysis of a case-study from cancer biology.

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