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Diffusive representation for pseudo-differentially damped nonlinear systems

Montseny, Gérard and Audounet, Jacques and Matignon, Denis Diffusive representation for pseudo-differentially damped nonlinear systems. (2001) In: Nonlinear control in the year 2000 volume 2. (Lecture Notes in Control and Information Sciences). Springer London, 163-182. ISBN 978-1-85233-364-5

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Official URL: http://dx.doi.org/10.1007/BFb0110300

Abstract

A large class of visco-elastic and elasto-plastic systems, frequently encountered in physics, are based on causal pseudo-differential operators, which are hereditary: the whole past of the state is involved in the dynamic expression of the system evolution. This generally induces major technical difficulties. We consider a specific class of pseudo-differential damping operators, associated to the so-called diffusive representation which enables to built augmented state-space realizations without heredity. Dissipativity property is expressed in a straightforward and precise way. Thanks to state-space realizations, standard analysis and approximation methods as well as control-theory concepts may therefore be used.

Item Type:Book Section
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Ecole nationale supérieure des Télécommunications - ENST (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Other partners > Telecom ParisTech (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: Denis Matignon
Deposited On:30 Sep 2016 12:27

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