Exponentiation Representation of Boolean Matrices in the Framework of Semi-Tensor Product of Matrices [PDF]
IEEE Access, 2019 Semi-tensor product of matrices (STP of matrices) is a new matrix product and has been successfully applied to many fields, especially to logical dynamic systems.
Jumei Yue, Yongyi Yan
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Algebraic Expression and Construction of Control Sets of Graphs Using Semi-Tensor Product of Matrices [PDF]
IEEE Access, 2019 Using a new matrix analysis tool, called semi-tensor product of matrices (STP) developed in recent years, this paper investigates the problem of finding control sets (or dominating sets) of graphs mathematically.
Yongyi Yan +3 more
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Generalised semi‐tensor product of matrices [PDF]
IET Control Theory & Applications, 2020 By introducing matrix multiplier and vector multiplier two kinds of semi‐tensor products (STPs), called matrix–matrix (MM) STPs and matrix–vector (MV) STPs, are introduced. They are generalisations of conventional matrix product, and contain standard STP as a particular case. Certain properties are revealed.
Cheng, Daizhan +3 more
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Topologies on quotient space of matrices via semi‐tensor product [PDF]
Asian Journal of Control, 2019 AbstractAn equivalence of matrices via semi‐tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential arrangements of the natural projection on different shapes of matrices lead to the product topology and quotient topology respectively. Then the Frobenious inner product of matrices is extended to
Daizhan Cheng, Zequn Liu
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Survey on Mathematical Models and Methods of Complex Logical Dynamical Systems
Mathematics, 2022 Logical dynamical systems (LDSs) have wide applications in gene regulation, game theory, digital circuits, and so on. In LDSs, phenomena such as impulsive effect, time delays, and asynchronous behavior are not negligible, which generate complex LDSs ...
Xiangshan Kong, Qilong Sun, Haitao Li
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SEMI-TENSOR PRODUCT OF MATRICES AND ITS SOME APPLICATIONS TO PHYSICS [PDF]
Methods and Applications of Analysis, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CHENG, DAIZHAN, DONG, YALI
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IEEE Access, 2023 This article concentrates on the function perturbation impact on robust stability and robust stabilization of Boolean networks with disturbance inputs (DBNs).
Lei Deng +3 more
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Robust Stabilization of Impulsive Boolean Control Networks with Function Perturbation
Mathematics, 2022 This paper studies the robust stabilization of impulsive Boolean control networks (IBCNs) with function perturbation. A Boolean control network (BCN) with a state-dependent impulsive sequence is converted to an equivalent BCN by the semi-tensor product ...
Qilong Sun, Haitao Li
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Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]
, 2014 Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Chen, Haibin, Qi, Liqun
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On Robust Stability and Stabilization of Networked Evolutionary Games with Time Delays
Mathematics, 2022 This paper investigates the robust stability and stabilization of networked evolutionary games (NEGs) with time delays. First, a mathematical model is presented to describe the dynamics of NEG with time-varying delays and disturbances.
Qiguang An, Hongfeng Guo, Yating Zheng
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