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

被引：0
|
作者：
Morarescu, Constantin-Irinel [1 ]
Niculescu, Silviu-Iulian [2 ]
机构：
[1] INRIA Rhone Alpes, BIPOP Team Project, 655 Ave Europe, F-38330 Montbonnot St Martin, France
[2] CNRS, UMR 8506, F-91192 Gif Sur Yvette, France
来源：
2008 MEDITERRANEAN CONFERENCE ON CONTROL AUTOMATION, VOLS 1-4 | 2008年
关键词：
Stability analysis; Delays; Linear systems; Biochemical networks;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：820 / +
页数：2
相关论文
共 50 条
  • [1] Some remarks on global asymptotic stability of neural networks with constant time delay
    Singh, Vimal
    CHAOS SOLITONS & FRACTALS, 2007, 32 (05) : 1720 - 1724
  • [2] Some Remarks on Stability and Robustness of Production Networks Based on Fluid Models
    Scholz-Reiter, Bernd
    Wirth, Fabian
    Dashkovskiy, Sergey
    Schoenlein, Michael
    Makuschewitz, Thomas
    Kosmykov, Michael
    DYNAMICS IN LOGISTICS, SECOND INTERNATIONAL CONFERENCE, LDIC 2009, 2011, : 27 - 35
  • [3] Some Remarks on Delay Effects in Motion Synchronization in Shared Virtual Environments
    Cheong, Joono
    Niculescu, Silviu-Iulian
    Oh, Yonghwan
    Morarescu, Irinel Constantin
    TOPICS IN TIME DELAY SYSTEMS: ANALYSIS, ALGORITHMS AND CONTROL, 2009, 388 : 359 - +
  • [4] Stability analysis of delay neural networks with impulsive effects
    Yang, Zhichun
    Xu, Daoyi
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 (05): : 563 - 573
  • [5] Stability analysis of delay neural networks with impulsive effects
    Yang, ZC
    Xu, DY
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (08) : 517 - 521
  • [6] Some remarks on Jacobi stability
    Sabau, S. V.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E143 - E153
  • [7] SOME REMARKS ON ABSOLUTE STABILITY
    LEHOCZKY, J
    PERIODICA POLYTECHNICA-ELECTRICAL ENGINEERING, 1970, 14 (02): : 113 - +
  • [8] A generalization of some complete stability conditions for cellular neural networks with delay
    Takahashi, N
    Nishi, T
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2002, E85A (09): : 2044 - 2051
  • [9] INTRODUCTORY-REMARKS AND SOME BIOCHEMICAL CONSIDERATIONS
    SPUDICH, JA
    METHODS IN CELL BIOLOGY, 1987, 28 : 3 - 8
  • [10] Potential Effects of Delay on the Stability of a Class of Impulsive Neural Networks
    Zhan, Nan
    Wu, Ailong
    COMPLEXITY, 2022, 2022
12345