Title :
Complete synchronisation for two coupled logical systems
Author :
Fangfei Li ; Xiwen Lu
Author_Institution :
Dept. of Math., East China Univ. of Sci. & Technol., Shanghai, China
Abstract :
This brief article studies the complete synchronisation of two logical systems coupled in the drive-response configuration, where the drive system is a Boolean network (BN), and the response system is a switched BN. Necessary and sufficient conditions are given when the transition matrix of the drive system is invertible, semi-convergent or neither is. Finally, examples are worked out to illustrate the proposed results.
Keywords :
Boolean algebra; matrix algebra; network theory (graphs); synchronisation; Boolean network; drive system; drive-response configuration; necessary and sufficient conditions; switched BN response system; transition matrix; two coupled logical system synchronisation;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2013.0452
