Template for Preparation of Papers for Chinese Control Conference
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- 英文论文题名：Template for Preparation of Papers for Chinese Control Conference
- 论文作者：Jingxue Xu ; Yuhu Wu ; Xi-Ming Sun
- 英文论文作者：Jingxue Xu ; Yuhu Wu ; Xi-Ming Sun ; School of Control Science and Engineering ; Dalian University of Technology
- 年：2017
- 作者机构：School of Control Science and Engineering,Dalian University of Technology;
- 英文论文关键词：Boolean multiplex networks ; STP ; observability
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：6
- 文件大小：232k
- 原文格式：D
- 会议级别：全国
摘要
In this article, the observability of the Boolean multiplex(multiplevel) networks(BMNs) is studied. First, the dynamical model and structure of BMNs are constructed. By using of Semi-Tensor Product(STP) approach, the logical dynamics of BMNs is converted into an equivalent algebraic representation. Then, the observability of the BMNs is investigated by giving necessary and sufficient conditions. Finally, an example is given to illustrate the efficiency of the obtained theoretical results.
In this article, the observability of the Boolean multiplex(multiplevel) networks(BMNs) is studied. First, the dynamical model and structure of BMNs are constructed. By using of Semi-Tensor Product(STP) approach, the logical dynamics of BMNs is converted into an equivalent algebraic representation. Then, the observability of the BMNs is investigated by giving necessary and sufficient conditions. Finally, an example is given to illustrate the efficiency of the obtained theoretical results.
In this article, the observability of the Boolean multiplex(multiplevel) networks(BMNs) is studied. First, the dynamical model and structure of BMNs are constructed. By using of Semi-Tensor Product(STP) approach, the logical dynamics of BMNs is converted into an equivalent algebraic representation. Then, the observability of the BMNs is investigated by giving necessary and sufficient conditions. Finally, an example is given to illustrate the efficiency of the obtained theoretical results.
引文
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[14]Cheng,D.,Qi,H.&Li,Z.Controllability and observability of boolean control networks.Automatica 45,1659–1667(2009).
[15]Li,F.,Sun,J.&Wu,Q.D.Observability of boolean control networks with state time delays.IEEE Transactions on Neural Networks 22,948–954(2011).
[16]Zhang,L.&Zhang,K.Controllability and observability of boolean control networks with time-variant delays in states.IEEE Transactions on Neural Networks&Learning Systems24,1478–1484(2013).
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[18]Mucha,P.J.&Onnela,J.P.Community structure in timedependent,multiscale,and multiplex networks.Science 328,876–878(2010).
[19]Cozzo,E.,Arenas,A.&Moreno,Y.Stability of boolean multilevel networks.Physical Review E Statistical Nonlinear&Soft Matter Physics 86,2569–2575(2012).
[20]Cheng,D.,Qi,H.&Zhao,Y.An Introduction to Semi-Tensor Product of Matrices and Its Applications(World Scientific Publishing Co.Pte.Ltd.,2012).
[2]Kauffman,S.A.Metabolic stability and epigenesis in randomly constructed genetic nets.Journal of Theoretical Biology 22,437–467(1969).
[3]Kauffman,S.A.&(OUP),O.U.P.Origins of order:selforganization and selection in evolution.Journal of Evolutionary Biology 13,133–144(1993).
[4]Kauffman,S.A.At home in the universe.Mathematical Social Sciences 33,94–95(1995).
[5]Aldana,M.Boolean dynamics of networks with scale-free topology.Physica D Nonlinear Phenomena 185,45–66(2003).
[6]Heidel,J.,Maloney,J.,Farrow,C.&Rogers,J.A.Finding cycles in synchronous boolean networks with applications to biochemical systems.International Journal of Bifurcation&Chaos 13,535–552(2011).
[7]Farrow,C.,Heidel,J.,Maloney,J.&Rogers,J.Scalar equations for synchronous boolean networks with biological applications.IEEE Transactions on Neural Networks 15,348–354(2004).
[8]Huang,S.&Ingber,D.E.Shape-dependent control of cell growth,differentiation,and apoptosis:Switching between attractors in cell regulatory networks.Experimental Cell Research 261,91–103(2000).
[9]Huang,S.Regulation of cellular states in mammalian cells from a genomewide view.In Gene Regulations and Metabolism-Postgenomic Computational Approaches,181–220(2002).
[10]Akutsu,T.,Miyano,S.&Kuhara,S.Inferring qualitative relations in genetic networks and metabolic pathways.Bioinformatics 16,727–734(2000).
[11]Albert,R.&Barabasi,A.L.Dynamics of complex systems:scaling laws for the period of boolean networks.Physical Review Letters 84,5660–5663(2000).
[12]Wu,Y.&Shen,T.An algebraic expression of finite horizon optimal control algorithm for stochastic logical dynamical systems.Systems&Control Letters 82,108–114(2015).
[13]Cheng,D.,Li,Z.&Qi,H.Realization of boolean control networks.Automatica(Journal of IFAC)46,62–69(2010).
[14]Cheng,D.,Qi,H.&Li,Z.Controllability and observability of boolean control networks.Automatica 45,1659–1667(2009).
[15]Li,F.,Sun,J.&Wu,Q.D.Observability of boolean control networks with state time delays.IEEE Transactions on Neural Networks 22,948–954(2011).
[16]Zhang,L.&Zhang,K.Controllability and observability of boolean control networks with time-variant delays in states.IEEE Transactions on Neural Networks&Learning Systems24,1478–1484(2013).
[17]Kitano,H.Systems biology:a brief overview.Science 295,1662–1664(2002).
[18]Mucha,P.J.&Onnela,J.P.Community structure in timedependent,multiscale,and multiplex networks.Science 328,876–878(2010).
[19]Cozzo,E.,Arenas,A.&Moreno,Y.Stability of boolean multilevel networks.Physical Review E Statistical Nonlinear&Soft Matter Physics 86,2569–2575(2012).
[20]Cheng,D.,Qi,H.&Zhao,Y.An Introduction to Semi-Tensor Product of Matrices and Its Applications(World Scientific Publishing Co.Pte.Ltd.,2012).