Title | ||
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Partial and Global Stabilization at An Attractor for k-valued Logical Control Networks |
Abstract | ||
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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 |
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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 Sun | 1 | 168 | 16.47 |
Rui Wang | 2 | 55 | 4.40 |
Xudong Zhao | 3 | 2027 | 94.90 |
Sun Pengfei | 4 | 27 | 15.73 |