Title :
Reachability of a kind of boolean control networks with delays in both state and control
Author :
Zhang, Li ; Zhao, Mingming ; Liu, Xinyun ; Zhu, Jiandong
Author_Institution :
Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, PR China
Abstract :
This paper mainly investigates the reachability of a kind of Boolean control networks with delays in both state and control. By a system transformation, the reachability problem of the delayed Boolean control network becomes that of a Boolean control network without delays. The relationship between the transformed network and the original network is revealed. A necessary and sufficient condition for the reachability of the delayed Boolean control network is obtained. An example is given to illustrate the effectiveness of the obtained theoretical result.
Keywords :
Biological system modeling; Controllability; Delays; Mathematics; Stability analysis; Sun; Boolean control network; Delay; Reachability; Semi-tensor product;
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
DOI :
10.1109/ChiCC.2015.7259645
