Some remarks on the delay effects on the stability of biochemical networks

Author

Morarescu, C.-I. ; Niculescu, Silviu Iulian

Author_Institution

BIPOP team project, INRIA Rhone-Alpes, Montbonnot

fYear

2008

fDate

25-27 June 2008

Firstpage

801

Lastpage

805

Abstract

This paper provides some qualitative results concerning the asymptotic stability of some dynamical systems encountered in biochemical networks. We adopt a frequency-domain approach combined with a simple geometric interpretation and we give a complete characterization of the dynamical behavior of the linearized system under consideration. The conclusion of the analysis can be resumed as follows: the linearized system is either delay-independent stable/unstable or it has only one delay stability interval.

Keywords

asymptotic stability; biochemistry; biotechnology; delays; frequency-domain analysis; linearisation techniques; time-varying systems; asymptotic stability; biochemical networks; delay effects; delay stability interval; dynamical systems; frequency-domain approach; linearized system; Asymptotic stability; Chemicals; Control systems; Delay effects; Delay systems; Equations; Negative feedback; Oscillators; Proteins; Stability analysis; Biochemical networks; Delays; Linear systems; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2008 16th Mediterranean Conference on

Conference_Location

Ajaccio

Print_ISBN

978-1-4244-2504-4

Electronic_ISBN

978-1-4244-2505-1

Type

conf

DOI

10.1109/MED.2008.4602104

Filename

4602104