Robust Stability and Stabilisation of Delayed Boolean Networks With Disturbance

In this paper, we study a type of delayed Boolean networks(DBNs) which are affected by disturbances. We study the stability problems of this kind of DBNs based on algebraic form, which can be constructed by the semi-tensor product(STP) method. Firstly, the robust stability of DBNs without control is...

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Bibliographic Details
Published inIEEE access Vol. 8; pp. 159471 - 159478
Main Authors Jiang, Chunfeng, Fu, Shihua, Zhao, Jianli
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Boolean
Boolean algebra
Boolean functions
Control stability
DBNs
Delay effects
disturbance inputs
Feedback control
Networks
Robust control
robust stabilisation
Robust stability
Robust stabilization
Robustness
Stability analysis
State feedback
STP
Tensors
Trajectory
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Summary:In this paper, we study a type of delayed Boolean networks(DBNs) which are affected by disturbances. We study the stability problems of this kind of DBNs based on algebraic form, which can be constructed by the semi-tensor product(STP) method. Firstly, the robust stability of DBNs without control is investigated, and the decision condition for robust stability is derived. Then, the robust stabilisation and control design problems are considered. Based on the algebraic representation of the delayed Boolean control networks(DBCNs), a necessary and sufficient condition is established to judge the robust stabilisation of the system, moreover, a state feedback control is also designed to robustly stabilize the DBCNs. Finally, we give an example to support our new results.
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ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.3021020