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Advances in Time-Delay Systems pp 123–135Cite as

Identifiability and Identification of Linear Systems with Delays

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 38))

Abstract

Parameter identifiability and identification are studied for linear differential delay equations of neutral type and with distributed delays. It is shown how the identifiability property can be fonnulated in terms of controllability conditions, namely approximate controllability for the general case, and weak controllability for the retarded case with finitely many lumped delays in the state vector and control input. The notion of sufficiently rich input, which enforces identifiability, is also addressed, and the results are obtained assuming knowledge of the solution on a bounded time interval. Once the parameter identifiability is guaranteed, synthesis of an adaptive parameter identifier is developed for systems with finitely many lumped delays in the state vector and control input. Theoretical results arc supported by numerical simulations.

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Author information

Authors and Affiliations

  1. LAIL, Universite des Sciences el Technologies de Lille, France

    Lotfi Belkoura

  2. LAIL, Ecole Centrale de Lille, France

    Michel Dambrine & Jean-Pierre Richard

  3. CICESE Research Center, Electronics and Telecom Dpt., San Diego, USA

    Yuri Orlov

Authors
  1. Lotfi Belkoura
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  2. Michel Dambrine
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  3. Yuri Orlov
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  4. Jean-Pierre Richard
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Editor information

Editors and Affiliations

  1. Centre de Recherche de Royallieu, Universite de Technologie de Compiègne, UMR CNRS 6022, 60205, Compiègne, France

    Silviu-Iulian Niculescu

  2. Department of Mechanical and Industrial Engineering, Southern Illinois University, Edwardsville, IL, 62025-1805, USA

    Keqin Gu

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© 2004 Springer-Verlag Berlin Heidelberg

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Belkoura, L., Dambrine, M., Orlov, Y., Richard, JP. (2004). Identifiability and Identification of Linear Systems with Delays. In: Niculescu, SI., Gu, K. (eds) Advances in Time-Delay Systems. Lecture Notes in Computational Science and Engineering, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18482-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-18482-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20890-7

  • Online ISBN: 978-3-642-18482-6

  • eBook Packages: Springer Book Archive

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