Via semi-tensor product of matrices and the matrix expression of logical functions, two kinds of the condensed algebraic expressions of singular Boolean networks are obtained. The normalization problem of singular Boolean networks is addressed; that is, under what condition singular Boolean networks can...
matrices. Key words: Boolean Vector Spaces, Boolean matrices, Boolean inner product. 1991 MSC: 15A03, 15A51, 06E99 1 Introduction A Boolean space L n (B) is the set of all n-tuples of elements of a fixed Boolean algebra B. The elements of L n (B) are called Boolean vectors an...
布尔控制网络矩阵半张量积能控性时滞Boolean control networksSemi-tensor product of matricesControllabilityTime delayIn this paper,the problem of controllability of... 李一峰,王兰 - 《信息与电子工程前沿:英文版》 被引量: 0发表: 2023年 From Boolean algebra to Boolean calculus从布尔代数到布尔微积分 Bool...
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Semi-tensor product of matricesThis paper analyzes the cluster synchronization of Boolean networks (BNs) subject to deterministic function perturbation. Firstly, the perturbation injection matrix is constructed based on the structure matrix of original BNs and the information of function perturbation to ...
Let ⊗ denotes the Kronecker product of matrices. Firstly, we introduce a bijective correspondence between Boolean vectors X ∈ and vectors x ∈ Δ, which is defined by the relationship: Then, we introduce semi-tensor product (STP) “” between matrices (and in particular, vectors...
Using a new matrix product, called semi-tensor product of matrices, a logical function can be expressed as an algebraic function. This expression can covert the Boolean networks into discrete-time linear dynamic systems. Similarly, the Boolean control networks can also be converted into discrete ...
This article analyzes the stability of probabilistic Boolean networks (PBNs) with switching discrete probability distribution (DPD). First, the dynamics of PBNs with switching DPD is converted to an algebraic form by using the semitensor product of matrices. Second, based on the algebraic form, ...
study certain categorical and algebraical concepts of the category Boo-S, such as congruences, indecomposable objects, coproducts, pushouts, and free ... H Barzegar - 《Journal of Mathematics》 被引量: 0发表: 2023年 Matrices and $\\alpha $-Stable Bipartite Graphs A square (0,1)-matrix ...
Applications of the theory and computations of boolean matrices are of fundamental importance to study a variety of discrete structural models. But the increasing ability of data collection systems to store huge volumes of multidimensional data, the boolean matrix representation of data analysis is not...