Back to Search
Start Over
Synchronization of Arbitrarily Switched Boolean Networks
- Source :
- IEEE Transactions on Neural Networks and Learning Systems. 28:612-619
- Publication Year :
- 2017
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2017.
-
Abstract
- This paper investigates the complete synchronization problem for the drive-response switched Boolean networks (SBNs) under arbitrary switching signals, where the switching signals of the response SBN follow those generated by the drive SBN at each time instant. First, the definition of complete synchronization is introduced for the drive-response SBNs under arbitrary switching signals. Second, the concept of switching reachable set starting from a given initial state set is put forward. Based on it, a necessary and sufficient condition is derived for the complete synchronization of the drive-response SBNs. Last, we give a simple algebraic expression for the switching reachable set in a given number of time steps, and two computable algebraic criteria are obtained for the complete synchronization of the SBNs. A biological example is given to demonstrate the effectiveness of the obtained main results.
- Subjects :
- 0209 industrial biotechnology
Computer Networks and Communications
02 engineering and technology
Computer Science Applications
Controllability
Set (abstract data type)
020901 industrial engineering & automation
Boolean network
Artificial Intelligence
Control theory
Simple (abstract algebra)
Synchronization (computer science)
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
State (computer science)
Algebraic expression
Boolean function
Software
Mathematics
Subjects
Details
- ISSN :
- 21622388 and 2162237X
- Volume :
- 28
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Neural Networks and Learning Systems
- Accession number :
- edsair.doi.dedup.....6b6fb83053b0794d7c2de18de0c789bc