boolean control network
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2020 ◽  
Vol 10 (20) ◽  
pp. 7180
Author(s):  
Cailu Wang ◽  
Yuegang Tao

The conversion between logic and algebraic expressions of Boolean control networks plays a worthy role in the analysis and design of digital circuits. In this paper, for a single Boolean function, a direct conversion between the minterm canonical form and the structure matrix is provided. For a Boolean control network consisting of systems of Boolean functions, two algorithms are developed to achieve the mutual conversion between the logic and algebraic expressions. The presented algorithms decrease exponentially the complexity of the semi-tensor product based method. Some numerical examples are given to demonstrate the algorithms and to compare our method with the existing ones.



2016 ◽  
Vol 10 (4) ◽  
pp. 65-76
Author(s):  
M. Humayun Kabir ◽  
M. Robiul Hoque ◽  
Hyungyu Seo ◽  
Sung-Hyun Yang


2016 ◽  
Vol 10 (3) ◽  
pp. 285-292
Author(s):  
M. Humayun Kabir ◽  
M. Robiul Hoque ◽  
Sung-Hyun Yang


2015 ◽  
Vol 05 (11) ◽  
pp. 661-668
Author(s):  
M. Humayun Kabir ◽  
M. Robiul Hoque


2014 ◽  
Vol 26 (5) ◽  
pp. 573-579 ◽  
Author(s):  
Zhiqiang Li ◽  
◽  
Jinli Song ◽  
Huimin Xiao

The reachability and controllability of switched Boolean (control) network are discussed in this paper. Based on semi-tensor product, using the vector form of Boolean logical variable, the switched Boolean (control) network is expressed as a discrete time system with state and control variables. For the switched Boolean network without control, the stabilization by suitable switching signal is discussed. Also, the controllability of the periodic switching signal is learned, and the conditions for stability and controllability of periodic switched Boolean networks avoiding states setCare obtained.



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