Title
Partial and Global Stabilization at An Attractor for k-valued Logical Control Networks
Abstract
In this paper, the partial and global stability (stabilization) for a class of k-valued logical (control) networks at one of attractors (point attractors or dynamic attractors) are investigated. To address such issues, a so-called “digital transformation approach” has been introduced. Firstly, the concepts of partial stability (and stabilization) of k-valued logical (control) networks are extended from a point attractor to a dynamic attractor. Secondly, based on the semi-tensor product method, the remainder operation and the digital transformation method, the necessary and sufficient conditions for the partial and global stability (stabilization) of k-valued logical (control) networks (with given state feedback) at an attractor are obtained. Finally, examples are given to demonstrate the feasibility of the proposed techniques.
Year
DOI
Venue
2020
10.1016/j.jfranklin.2020.04.054
Journal of the Franklin Institute
DocType
Volume
Issue
Journal
357
11
ISSN
Citations 
PageRank 
0016-0032
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Tao Sun116816.47
Rui Wang2554.40
Xudong Zhao3202794.90
Sun Pengfei42715.73