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Diffusive representation for pseudo-differentially damped nonlinear systems

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Nonlinear control in the year 2000 volume 2

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 259))

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.

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Author information

Authors and Affiliations

  1. LAAS/CNRS, 7 avenue du Colonel Roche, 31077, Toulouse cedex 4, France

    Gérard Montseny

  2. MIP/CNRS, Université Paul Sabatier, 118 route de Narbonne, 31068, Toulouse cedex 4, France

    Jacques Audounet

  3. ENST, URA CNRS 820, dpt TSI, 46 rue Barrault, 75634, Paris cedex 13, France

    Denis Matignon

Authors
  1. Gérard Montseny
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  2. Jacques Audounet
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  3. Denis Matignon
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Editor information

Alberto Isidori Françoise Lamnabhi-Lagarrigue Witold Respondek

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© 2001 Springer-Verlag London Limited

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Montseny, G., Audounet, J., Matignon, D. (2001). Diffusive representation for pseudo-differentially damped nonlinear systems. In: Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W. (eds) Nonlinear control in the year 2000 volume 2. Lecture Notes in Control and Information Sciences, vol 259. Springer, London. https://doi.org/10.1007/BFb0110300

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  • DOI: https://doi.org/10.1007/BFb0110300

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-364-5

  • Online ISBN: 978-1-84628-569-1

  • eBook Packages: Springer Book Archive

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