Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics

Date
2008-12
Advisor
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Co-Advisor
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Source Title
Proceedings of the IEEE Conference on Decision and Control, 2008
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
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.

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Keywords
Discrete delays, Distributed delays, Finite dimensional systems, Finite durations, Hematopoietic cells, Stability analysis, Dynamics, Linear systems, System stability
Citation
Published Version (Please cite this version)