Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics
Author
Özbay, Hitay
Bonnet, C.
Clairambault, J.
Date
2008-12Source Title
Proceedings of the IEEE Conference on Decision and Control, 2008
Publisher
IEEE
Pages
2050 - 2055
Language
English
Type
Conference PaperItem Usage Stats
124
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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 delaysDistributed delays
Finite dimensional systems
Finite durations
Hematopoietic cells
Stability analysis
Dynamics
Linear systems
System stability