Title :
Observability of Boolean Control Networks With State Time Delays
Author :
Li, Fangfei ; Sun, Jitao ; Wu, Qi-di
Author_Institution :
Dept. of Math., Tongji Univ., Shanghai, China
fDate :
6/1/2011 12:00:00 AM
Abstract :
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.
Keywords :
Boolean algebra; biology; delays; discrete time systems; matrix algebra; observers; Boolean control network observability; discrete time delay dynamics; logic matrix expression; semitensor matrix product; state time delays; Biological systems; Delay; Delay effects; Matrix converters; Observability; Systematics; Systems biology; Boolean control networks; observability; systems biology; time delay; Algorithms; Computer Simulation; Models, Theoretical; Neural Networks (Computer); Pattern Recognition, Automated;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2011.2126594
