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JRM Vol.26 No.5 pp. 573-579
doi: 10.20965/jrm.2014.p0573
(2014)

Paper:

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Reachability and Controllability Analysis of Periodic Switched Boolean Control Networks

Zhiqiang Li, Jinli Song, and Huimin Xiao

School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou Henan 450046, China

Received:
March 10, 2014
Accepted:
July 17, 2014
Published:
October 20, 2014
Creative Commons License
Keywords:
controllability, reachability, periodic switched Boolean control network, semi-tensor product
Abstract
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 set C are obtained.
Cite this article as:
Z. Li, J. Song, and H. Xiao, “Reachability and Controllability Analysis of Periodic Switched Boolean Control Networks,” J. Robot. Mechatron., Vol.26 No.5, pp. 573-579, 2014.
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