Model reduction for switched genetic regulatory networks with time-varying delays

The model reduction problem is studied in this work for the switched genetic regulatory networks (GRNs) with time-varying delays. The attention is focused on constructing a reduced-order model to approximate the considered high-order GRNs under that the switching signal is subject to some certain co...

Full description

Saved in:
Bibliographic Details
Published inChinese Control Conference pp. 245 - 250
Main Authors Mengqi Xue, Yang Tang, Ligang Wu, Feng Qian
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, CAA 01.07.2017
Subjects
Delays
Differential equations
Genetic Regulatory Networks
Genetics
Mathematical model
Model Reduction
Reduced order systems
Switched System
Switches
Symmetric matrices
Time-Varying Delays
Online AccessGet full text

Cover

More Information
Summary:The model reduction problem is studied in this work for the switched genetic regulatory networks (GRNs) with time-varying delays. The attention is focused on constructing a reduced-order model to approximate the considered high-order GRNs under that the switching signal is subject to some certain constraints, such that the error system between the original system and the reduced-order one is exponentially stable with a weighted H ∞ performance. By utilizing the bounding technique as well as the dwell time method, the stability conditions and the weighted H ∞ performance are established for the error system. Then, the solvability conditions for the reduced-order models for the GRNs are also established by using the projection method. Finally, numerical simulation is presented to illustrate the effectiveness of the proposed method.
ISSN:1934-1768
DOI:10.23919/ChiCC.2017.8027350