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
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;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738654
