Observability of Boolean Control Networks With State Time Delays

This brief deals with the problem of the observability for the Boolean control networks with time delays in states. First, using semi-tensor product of matrices and the matrix expression of logic, the Boolean control networks with state delays can be converted into discrete time delay dynamics. Then...

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Veröffentlicht in:	IEEE transaction on neural networks and learning systems 2011-06, Vol.22 (6), p.948-954
Hauptverfasser:	Li, Fangfei, Sun, Jitao, Wu, Qi-Di
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applied sciences Artificial intelligence Biological systems Boolean algebra Boolean control networks Computer science control theory systems Computer Simulation Connectionism. Neural networks Delay Delay effects Dynamics Exact sciences and technology Information retrieval. Graph Mathematical analysis Matrices Matrix converters Models, Theoretical Networks Neural networks Neural Networks (Computer) Observability Pattern Recognition, Automated - methods Systematics Systems biology Theoretical computing Time delay
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Beschreibung
Zusammenfassung:	This brief deals with the problem of the observability for the Boolean control networks with time delays in states. First, using semi-tensor product of matrices and the matrix expression of logic, the Boolean control networks with state delays can be converted into discrete time delay dynamics. Then, the observability of the Boolean control networks via two kinds of inputs is investigated by giving necessary and sufficient conditions. Finally, examples are given to illustrate the efficiency of the obtained results.
ISSN:	1045-9227 2162-237X 1941-0093 2162-2388
DOI:	10.1109/TNN.2011.2126594