DocumentCode
1729330
Title
Synchronization of interconnected multi-valued logical networks
Author
Meng Min ; Feng Jun-e
Author_Institution
Sch. of Math., Shandong Univ., Jinan, China
fYear
2013
Firstpage
6496
Lastpage
6501
Abstract
This paper studies the synchronization between two interconnected k-valued logical networks based on their algebraic representations. First, one necessary and sufficient criterion of synchronization is established via the definition of synchronization. Then another equivalent condition of synchronization is given combining synchronization with fixed points and limit cycles. Furthermore, with some special properties of semi-tensor product, the third necessary and sufficient condition is raised in terms of transition matrices. At last, the examples are presented to illustrate effectiveness of the results.
Keywords
matrix algebra; multivalued logic; algebraic representation; interconnected k-valued logical network; interconnected multivalued logical network; semitensor product; synchronization; transition matrices; Equations; Interconnected systems; Limit-cycles; Mathematical model; Matrix converters; Synchronization; Vectors; interconnected; k-valued logical networks; semi-tensor product; synchronization;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2013 32nd Chinese
Conference_Location
Xi´an
Type
conf
Filename
6640579
Link To Document