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      • Department of Electrical and Electronics Engineering
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      Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics

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      Author
      Özbay, Hitay
      Bonnet, C.
      Clairambault, J.
      Date
      2008-12
      Source Title
      Proceedings of the IEEE Conference on Decision and Control, 2008
      Publisher
      IEEE
      Pages
      2050 - 2055
      Language
      English
      Type
      Conference Paper
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      Abstract
      We consider linear systems with distributed delays where delay kernels are assumed to be finite duration impulse responses of finite dimensional systems. We show that stability analysis for this class of systems can be reduced to stability analysis of linear systems with discrete delays, for which many algorithms are available in the literature. The results are illustrated on a mathematical model of hematopoietic cell maturation dynamics. © 2008 IEEE.
      Keywords
      Discrete delays
      Distributed delays
      Finite dimensional systems
      Finite durations
      Hematopoietic cells
      Stability analysis
      Dynamics
      Linear systems
      System stability
      Permalink
      http://hdl.handle.net/11693/26773
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/CDC.2008.4738654
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      • Department of Electrical and Electronics Engineering 3524
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