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Fault detectability of boolean control networks via nonaugmented methods

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Science China(Information Sciences) 2023年第12期66卷 94-106页

作者： Rong ZHAO Caixia WANG Yongyuan YU Jun-E FENG School of Mathematics Shandong University

This study is concerned with the fault detectability of boolean control networks(BCNs) by two nonaugmented methods. Firstly, the equivalent system-based approach is considered, and the equivalence of BCNs is applied to analyze weak active fault detectability. Further, an iterative matrix set-based approach is proposed, by which, several novel criteria for strong and weak active fault detectability are presented.Meanwhile, effective algorithms are designed to check strong and weak active fault detectability and generate all feasible input sequences with the minimum length. In comparison, our results reduce the computational complexity dramatically than the existing studies.

关键词： boolean control network fault detectability equivalent system nonaugmented method semi-tensor product

controllability of boolean control networks with state-dependent constraints

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Science China(Information Sciences) 2016年第3期59卷 162-175页

作者： Yuqian GUO School of Information Science and Engineering Central South University

This paper investigates the controllability of boolean control networks(BCNs) with state-dependent constraints. A kind of input transformation is proposed to transfer a BCN with state-dependent input constraints into a BCN with free control input. Based on the proposed technique, a necessary and sufficient condition for controllability is obtained. It is shown that state-dependent constraints for the state can be equivalently expressed as input constraints. When a BCN has both input and state constraints, there is a possibility that the sets of admissible controls for some states are the empty set. To treat this kind of BCN, a variation of the input transformation is proposed and the problem of controllability is solved. An illustrative example is provided to explain the proposed method and results.

关键词： boolean control network state-dependent constraint controllability semi-tensor product input transformation

Observability of boolean control networks

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Science China(Information Sciences) 2018年第9期61卷 156-167页

作者： Qunxi ZHU Yang LIU Jianquan LU Jinde CAO College of Mathematics Physics and Information Engineering Zhejiang Normal University College of Mathematical Sciences Fudan University School of Mathematics Southeast University School of Mathematical Sciences Shandong Normal University

We show some new results on the observability of boolean control networks(BCNs). First, to study the observability, we combine two BCNs with the same transition matrix into a new BCN. Then, we propose the concept of a reachable set that results in a given set of initial states, and we derive four additional necessary and sufficient conditions for the observability of BCNs. In addition, we present an algorithm and construct an observability graph to determine the observability of BCNs. Finally, we illustrate the obtained results using three numerical examples.

关键词： boolean control network observability semi-tensor product

Output reachability analysis and output regulation control design of boolean control networks

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Science China(Information Sciences) 2017年第2期60卷 18-29页

作者： Haitao LI Yuzhen WANG Peilian GUO School of Mathematical Science Shandong Normal University School of control Science and Engineering Shandong University

This paper investigates the output reachability and output regulation control design of boolean control networks(BCNs) by using the semi-tensor product method, and presents a number of new results.First, the concept of output reachability is proposed for BCNs, and some necessary and sufficient conditions are presented for the verification of output reachability. Second, based on the output reachability of BCNs and the attractor set of the reference boolean network, an effective method is proposed for the control design of the output regulation problem. The study of an illustrative example shows the effectiveness of the obtained new results.

关键词： boolean control network output reachability output regulation control design semi-tensor prod uct of matrices

controllability of boolean control networks avoiding states set

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Science China(Information Sciences) 2014年第3期57卷 263-275页

作者： LI ZhiQiang SONG JinLi Department of Mathematics and Information Science Henan University of Economics and Law

In this paper,using semi-tensor product and the vector form of boolean logical variables,the boolean control network(BCN)is expressed as a bilinear discrete time system about state and control variables.Based on the algebraic form,the reachability and controllability avoiding undesirable states set are discussed.The reachability and controllability discussed here are under certain constraint and the definitions of reachability and controllability avoiding undesirable states set have practical meaning.Also,the necessary and sufcient conditions for reachability and controllability are given.At last,the control sequence that steers one state to another is constructed.

关键词： reachability controllability boolean control network nonnegative matrices

On feedback invariant subspace of boolean control networks

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Science China(Information Sciences) 2020年第12期63卷 257-259页

作者： Aixin LIU Haitao LI School of Mathematics and Statistics Shandong Normal University

Dear editor,Subspace theory is important in the study of nonlinear systems. The model of boolean networks(BNs) was firstly established by Kauffman for the regulation of genes. boolean networks with inputs and outputs ... 详细信息

关键词： boolean control network semi-tensor product feedback invariant subspace coordinate transformation matrix equation

Morgan＇s problem of boolean control networks

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control Theory and Technology 2017年第4期15卷 316-326页

作者： Fu, Shihua Wang, Yuanhua Cheng, Daizhan Liu, Jiangbo School of control Science and Engineering Shandong University Jinan Shandong China School of Management Science and Engineering Shandong Normal University Jinan Shandong China Department of Computer Science and Information Systems Bradley University Peoria U.S.A.

This paper investigates the Morgan＇s problem of boolean control networks. Based on the matrix expression of logical functions, two key steps are proposed to solve the problem. First, the boolean control network is converted into an output- decomposed form by constructing a set of consistent outputfriendly subspaces, and a necessary and sufficient condition for the existence of the consistent output-friendly subspaces is obtained. Secondly, a type of state feedback controllers are designed to solve the Morgan＇s problem if it is solvable. By solving a set of matrix equations, a necessary and sufficient condition for converting an output-decomposed form to an input-output decomposed form is given, and by verifying the output controllability matrix, the solvability of Morgan＇s problem is obtained.

关键词： boolean control network Morgan＇s problem regular subspace y-friendly subspace semi-tensor product ofmatrices

Structural controllability of boolean control networks with an unknown function structure

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Science China(Information Sciences) 2020年第11期63卷 321-323页

作者： Shuang LIANG Haitao LI Shuling WANG School of Mathematics and Statistics Shandong Normal University

Dear editor,boolean networks represent one of the most popular models for gene regulatory networks. In a boolean network, genes are perceived as nodes in a network graph, and the dynamics of each node are determined b... 详细信息

关键词： boolean control network Structural controllability Algebraic state space representation Semi-tensor product Gene regulatory network

Robust Sampled-data control Invariance for boolean control networks

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Robust Sampled-data Control Invariance for Boolean Control N...