Title
Finite-time adaptive stability of gene regulatory networks.
Abstract
This paper is concerned with the finite-time adaptive stability of genetic regulatory networks(GRNs). Traditionally, the finite-time stability criterion is often established based on the prior information on gene regulatory parameters. However, it is difficult to acquire the above prior information for GRNs. To overcome the above difficulty, we design controllers in non-switching and switching gene regulatory networks with adaptive technique, respectively. Then, we derive a sufficient criterion for system to achieve finite-time stability under the action of an adaptive controller and give an estimate of the steady-state time. Furthermore, we can also shorten the setting time required for the system to achieve finite-time stability under the designed adaptive controller. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method.
Year
DOI
Venue
2019
10.1016/j.neucom.2019.02.011
Neurocomputing
Keywords
Field
DocType
Gene regulatory network,Adaptive control,Finite-time stability,Switching topology
Stability criterion,Control theory,Control theory,Artificial intelligence,Gene regulatory network,Mathematics,Machine learning,Finite time
Journal
Volume
ISSN
Citations 
338
0925-2312
0
PageRank 
References 
Authors
0.34
12
4
Name
Order
Citations
PageRank
Lulu Wu100.34
Kexin Liu23111.27
Lv Jinhu32906244.29
Haibo Gu4817.33