Title :
Observability of Boolean networks with time delays in states and controls
Author :
He Yun ; Li Junmin
Author_Institution :
Dept. of Math., Shaanxi Xueqian Normal Univ., Xi´an, China
Abstract :
This paper investigates the observability of a temporal Boolean network with the time varying. First, using the theory of semi-tensor product of matrices, the logical systems can be converted into a discrete time dynamical systems. Then, the necessary and sufficient conditions of the observability for a temporal Boolean networks via two kinds of inputs are proved, respectively. Finally, examples are given to illustrate the efficiency of the obtained results.
Keywords :
Boolean algebra; delays; matrix multiplication; network theory (graphs); observability; time-varying systems; discrete time dynamical systems; logical systems; necessary and sufficient conditions; semitensor matrix product; temporal Boolean network observability; time delays; Biological system modeling; Controllability; Delay effects; Delays; Mathematical model; Matrix converters; Observability; observability; semi-tensor product; temporal Boolean network;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895627
