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Spatial decay analysis in interconnected dynamical systems using vector Lyapunov functions

Deroo, Frederik; Hirche, Sandra; Anderson, Brian

Description

In this paper we analyze the propagation of input signals in a large-scale network of dynamical systems. Using vector Lyapunov functions, the individual multidimensional subsystems are first reduced to an approximating scalar representation in the form of the evolution of their weighted norm. The norm simultaneously qualifies as a local Lyapunov function for the isolated subsystem. Employing properties of M-matrices, we then derive linear system dynamics which provide an upper bound for the...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Conference paper
URI: http://hdl.handle.net/1885/20533
Source: Critical Observations in a Diagnostic Problem
DOI: 10.1109/CDC.2014.7039958

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