DocumentCode
2237027
Title
Stability analysis of systems with distributed delays and application to hematopoietic cell maturation dynamics
Author
Özbay, Hitay ; Bonnet, Catherine ; Clairambault, Jean
Author_Institution
Dept. of Electr.&Electron. Eng., Bilkent Univ., Ankara, Turkey
fYear
2008
fDate
9-11 Dec. 2008
Firstpage
2050
Lastpage
2055
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.
Keywords
cellular biophysics; delays; linear systems; multidimensional systems; physiological models; stability; transient response; distributed delay; finite dimensional system; finite duration impulse response; hematopoietic cell maturation dynamics; linear system; mathematical model; stability analysis; Control systems; Delay effects; Delay systems; Kernel; Linear systems; Logistics; Mathematical model; Microorganisms; Stability analysis; Traffic control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location
Cancun
ISSN
0191-2216
Print_ISBN
978-1-4244-3123-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2008.4738654
Filename
4738654
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