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| 1 | Controllability of time-variant Boolean control networks and its application to Boolean control networks with finite memories显示文摘This paper investigates the controllability of time-variant Boolean control networks(BCNs).For the time-variant BCNs,a necessary and sufcient condition for the controllability is given,and a control design algorithm is presented.For a BCN with fnite memories,an equivalent transformation to a time-variant BCN is constructed.Then a necessary and sufcient condition for the controllability and a control design algorithm are obtained. | ZHANG LiJun ZHANG KuiZe | 2013 | Science China(Information Sciences)2013，56，10： | 10 |
| 2 | Observability of Boolean Control Networks with Time-Variant Delays in States显示文摘这份报纸由在矩阵的半张肌产品的框架下面使用图论的方法在一个温和假设下面处于状态与时间变体延期为布尔控制网络(BCN ) 的 observability 给一个相等的条件。首先,在考虑下面的 BCN 被分成没有时间延期的分系统的一个有限数字。第二, BCN 的 observability 被测试所谓的 observability 的 observability 验证构造路径(没有时间延期的一个特殊分系统) 基于图理论。这些结果在 BCN 的 observability 上扩大最近的相关结果。例子被显示说明结果的有效性。 | JIANG Dapeng ZHANG Kuize | 2018 | Journal of Systems Science & Complexity2018，31，2： | 3 |
| 3 | Controllability of probabilistic Boolean control networks with time-variant delays in states显示文摘This paper investigates the controllability of probabilistic Boolean control networks(PBCNs) with time-variant delays in states. By cutting the time sequence, we split the network into at most countably infinitely many subnetworks with no delays, where any one of the longest subnetworks is called a controllability constructed path(CCP). When the CCP is of infinite length, we prove that the network is controllable iff any CCP is controllable, and give an equivalent condition for the controllability of the network. When it is of finite length, we give a necessary condition and a sufficient condition for the controllability of the network, and show that the controllability of the network is not equivalent to the controllability of a CCP. | Kuize ZHANG Lijun ZHANG | 2016 | Science China(Information Sciences)2016，59，9： | 2 |
| 4 | Some results on group inverses of block matrices over skew fields 显示文摘 | Bu Changjiang Zhao Jiemei Zhang Kuize | 2009 | ELA2009，，18： | 1 |
| 5 | Group in- verse for the block matrices with an invertible subblock 显示文摘 | BU Changjiang LI Min ZHANG Kuize | 2009 | Applied mathematics and Computation2009，215，： | 1 |
| 6 | The explicit representa- tions of the Drazin inverses 显示文摘 | BU Changjiang ZHANG Kuize | 2010 | Electronic Journal of of a class of block matrices Linear Algebra2010，20，： | 1 |
| 7 | Some results on group inverses of block matrices over skew fields显示文摘 | BU Changjiang ZHAO Jiemei ZHANG Kuize | 2009 | Electronic Journal of Linear Algebra2009，18，： | 1 |
| 8 | Group inverse for the block matrices with an invertible subblock显示文摘 | BU Changjiang LI Min ZHANG Kuize | 2009 | Applied Mathematics and Computation2009，215，： | 1 |
| 9 | Group inverse for the block matrices with an invertible subblock显示文摘 | BU Changjiang LI Min ZHANG Kuize | 2009 | Applied Mathematics and Computation2009，215，1： | 1 |
| 10 | Some results on the group inverse of the block matrix with a subblock of linear combination or product combination of matrices over skew fields 显示文摘 | BU Changjiang ZHANG Kuize ZHAO Jiemei | 2010 | Linear Muhilinear Algebra2010，58，8： | 1 |
| 11 | Embedding Cross-Dimensional Vector Space into ℓ^(2)显示文摘The cross-dimensional dynamical systems have received increasing research attention in recent years.This paper characterizes the structure features of the cross-dimensional vector space.Specifically,it is proved that the completion of cross-dimensional vector space is an infinite-dimensional separable Hilbert space.Hence,it means that one can isometrically and linearly embed the crossdimensional vector space into theℓ^(2),which is known as the space of square summable sequences.This result will be helpful in the modeling and analyzing the dynamics of cross-dimensional dynamical systems. | XUE Shengli ZHANG Lijun XIE Zhiqi YAN Weijun ZHANG Kuize | 2023 | Journal of Systems Science & Complexity2023，36，6： | 0 |
| 12 | Basis for the quotient space of matrices under equivalence显示文摘Dear editor,The semi-tensor product(STP)of matrices,proposed by Cheng in 2001[1],is a generalization of the conventional matrix product and well defined at every two finite-dimensional matrices.In2016,Cheng[2]proposed a new concept of semitensor addition(STA),which is a generalization of the conventional matrix addition and well defined at every two finite-dimensional matrices with the same ratio between the numbers of rows and columns. | Kuize ZHANG | 2020 | Science China(Information Sciences)2020，63，8： | 0 |
| 13 | Dynamics and control of evolutionary congestion games显示文摘Dear editor,Congestion games(CGs)proposed in[1]are noncooperative games in which a collection of players compete over a finite set of resources.In CGs,the cost incurred by each player depends only on the resource that the player chooses and the number of players choosing the same resource.Because of their potential across a range of fields,CGs have been applied to practical problems such as network routing and road pricing.Furthermore,CGs can be modeled as evolutionary congestion games(ECGs)if they are played repeatedly. | Xiaoye GAO Jinhuan WANG Kuize ZHANG | 2020 | Science China(Information Sciences)2020，63，6： | 0 |
| 14 | Asurvey onob vabilit of Boolean control networks显示文摘Observability is a fundamental property of a partially observed dynamical system,which means whether one can use an input sequence and the corresponding output sequence to determine the initial state.Observability provides bases for many related problems,such as state estimation,identification,disturbance decoupling,controller synthesis,etc.Until now,fundamental improvement has been obtained in observability of Boolean control networks(BCNs)mainly based on two methods-Edward F.Moore's partition and our observability graph or their equivalent representations found later based on the semitensor product(STP)of matrices(where the STP was proposed by Daizhan Cheng),including necessary and sufficient conditions for different types of observability,extensions to probabilistic Boolean networks(PBNs)and singular BCNs,even to nondeterministic finite-transition systems(NFTSs);and the development(with the help of the STP of matrices)in related topics,such as com-putation of smallest invariant dual subspaces of BNs containing a set of Boolean functions,multiple-experiment observability verification/decomposition in BCNs,disturbance decoupling in BCNs,etc.This paper provides a thorough survey for these topics.The contents of the paper are guided by the above two methods.First,we show that Moore's partition-based method closely relates the following problems:computation of smallest invariant dual subspaces of BNs,multiple-experiment observ-ability verification/decomposition in BCNs,and disturbance decoupling in BCNs.However,this method does not apply to other types of observability or nondeterministic systems.Second,we show that based on our observability graph,four different types of observability have been verified in BCNs,verification results have also been extended to PBNs,singular BCNs,and NFTSs.In addition,Moore's partition also shows similarities between BCNs and linear time-invariant(LTI)control systems,e.g.,smallest invariant dual subspaces of BNs containing a set of Boolean functions in BCNs vs unobservable subspaces of LTI control systems,the forms of quotient systems based on observability decomposition in both types of systems.However,there are essential differences between the two types of systems,e.g.,'all plausible definitions of observability in LTI control systems turn out to be equivalent'(by Walter M.Wonham 1985),but there exist nonequivalent definitions of observability in BCNs;the quotient system based on observability decomposition always exists in an LTI control system,while a quotient system based on multiple-experiment observability decomposition does not always exist in a BCN. | Kuize Zhang | 2023 | Control Theory and Technology2023，21，2： | 0 |
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