Results 1 to 10 of about 173,664,564 (290)
Solving Quaternion Linear System Based on Semi-Tensor Product of Quaternion Matrices
Symmetry, 2022 In this paper, we use semi-tensor product of quaternion matrices, L-representation of quaternion matrices, and GH-representation of special quaternion matrices such as quaternion (anti)-centrosymmetric matrices to solve the special solutions of quaternion matrix equation.
Xueling Fan
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Sensors, 2022 A random matrix needs large storage space and is difficult to be implemented in hardware, and a deterministic matrix has large reconstruction error. Aiming at these shortcomings, the objective of this paper is to find an effective method to balance these
Junying Liang +3 more
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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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Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition
Mathematics, 2021 Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with Boolean semi-tensor product composition.
Shuling Wang, Haitao Li
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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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IET Control Theory and Applications, 2017 In this study, the problem of calculating the skeleton matrix for asynchronous sequential machine (ASMs) is addressed in the framework of the semi‐tensor product (STP) of matrices. By applying the STP of matrices and Boolean algebra, a new algebraic expression of ASMs is deduced. By utilising the algebraic expression, the skeleton matrix of ASMs can be
Zengqiang Chen, Xiaoguang Han
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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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Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
Mathematics, 2021 The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
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Robust Output Tracking of Boolean Control Networks over Finite Time
Mathematics, 2022 With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao +3 more
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Algebraic Representation of Topologies on a Finite Set
Mathematics, 2022 Since the 1930s, topological counting on finite sets has been an interesting work so as to enumerate the number of corresponding order relations on the sets.
Hongfeng Guo +3 more
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