Robust set stabilization of Boolean control networks with impulsive effects
Articles
Xiaojing Xu
Shandong Normal University, China
Yansheng Liu
Shandong Normal University, China
Haitao Li
Shandong Normal University, China
Fuad E. E. Alsaadi
King Abdulaziz University, Saudi Arabia
Published 2018-08-10
https://doi.org/10.15388/NA.2018.4.6
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Keywords

Boolean control network
impulsive effects
set stabilization
robust control
semi-tensor product of matrices

How to Cite

Xu, X. (2018) “Robust set stabilization of Boolean control networks with impulsive effects”, Nonlinear Analysis: Modelling and Control, 23(4), pp. 553–567. doi:10.15388/NA.2018.4.6.

Abstract

This paper addresses the robust set stabilization problem of Boolean control networks (BCNs) with impulsive effects via the semi-tensor product method. Firstly, the closed-loop system consisting of a BCN with impulsive effects and a given state feedback control is converted into an algebraic form. Secondly, based on the algebraic form, some necessary and sufficient conditions are presented for the robust set stabilization of BCNs with impulsive effects under a given state feedback control and a free-form control sequence, respectively. Thirdly, as applications, some necessary and sufficient conditions are presented for robust partial stabilization and robust output tracking of BCNs with impulsive effects, respectively. The study of two illustrative examples shows that the obtained new results are effective.

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