The equivalence issue of two kinds of controllers in Boolean control networks

Meilin Li, Jianquan Lu, Jungang Lou, Yang Liu and Fuad E. Alsaadi

Applied Mathematics and Computation, 2018, vol. 321, issue C, 633-640

Abstract: In this paper, the equivalence issue between state feedback controller and free sequence controller in Boolean control network (BCN) is investigated. Based on the algebraic representation of Boolean networks, we prove that a Boolean control network can be stabilized to a cycle or a fixed point via free sequence controller if and only if there is a state feedback controller which can derive the Boolean control network to the cycle or the fixed point. Then, two algorithms are provided to find the state feedback controller. After that, we prove that a BCN can be globally controllable by free sequence controller, while the BCN is not necessarily globally controllable by state feedback controller. At last, an example is given to illustrate the results.

Keywords: Boolean control networks; Semi-tensor product; Free sequence controller; State feedback controller (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:321:y:2018:i:c:p:633-640

DOI: 10.1016/j.amc.2017.11.011

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