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Structural indistinguishability between uncontrolled (autonomous) nonlinear analytic systems

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UNSPECIFIED. (2004) Structural indistinguishability between uncontrolled (autonomous) nonlinear analytic systems. AUTOMATICA, 40 (11). pp. 1947-1953. ISSN 0005-1098

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Official URL: http://dx.doi.org/10.1016/j.automatica.2004.06.002

Abstract

In this paper, an approach for analysing the structural indistinguishability between two uncontrolled (or autonomous) analytic systems is presented. The approach involves constructing, if possible, a smooth mapping between the trajectories of two candidate models. If either of the models satisfies an observability criterion, then such a transformation always exists when the models are indistinguishable from their outputs. The approach is illustrated by examples from epidemiology and chemical reaction kinetics. One important outcome is that the susceptible, infectious, recovered (SIR) and SIR with temporary immunity (SIRS) models are shown to be indistinguishable when a proportion of the number of infectives is measured. (C) 2004 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Journal or Publication Title: AUTOMATICA
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
ISSN: 0005-1098
Date: November 2004
Volume: 40
Number: 11
Number of Pages: 7
Page Range: pp. 1947-1953
Identification Number: 10.1016/j.automatica.2004.06.002
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/7915

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