Results 211 to 220 of about 1,950 (244)

Model matching of input/output asynchronous sequential machines based on the semi-tensor product of matrices

Future Generation Computer Systems, 2018
Abstract This paper investigates the model matching problem of input/output asynchronous sequential machines (ASMs) based on the semi-tensor product (STP) of matrices. The controller of the model matching problem is separated to an observer B and a control unit F .
Zengqiang Chen, Xiaoguang Han
exaly   +2 more sources

Semi‐tensor product of quaternion matrices and its application

Mathematical Methods in the Applied Sciences, 2022
Unlike real or complex numbers, quaternion multiplication does not satisfy the commutative law. This makes it impossible to generalize some conclusions on semi‐tensor product to quaternion directly, which is valid on real or complex number fields. In this paper, we define semi‐tensor product of quaternion matrices and study the properties of semi ...
Xueling Fan, Ying Li, Wenxv Ding, Jianli Zhao   +3 more
openaire   +1 more source

Stabilization of probabilistic finite automata based on semi-tensor product of matrices

Journal of the Franklin Institute, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhipeng Zhang, Zengqiang Chen 0001, Xiaoguang Han 0002, Zhongxin Liu 0001   +3 more
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Matching Algorithms of Minimum Input Selection for Structural Controllability Based on Semi-Tensor Product of Matrices

Journal of Systems Science and Complexity, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naqi Fan, Lijun Zhang 0004, Shenggui Zhang, Jiuqiang Liu   +3 more
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Semi-tensor Product of Matrices

2011
This chapter provides a basic introduction to the semi-tensor product of matrices. We will emphasize concepts, geometric interpretations, and some fundamental properties. All proofs are omitted as we refer to Cheng and Qi (Semi-tensor Product of Matrices—Theory and Applications, Science Press, Beijing, 2007) for them.
Daizhan Cheng, Hongsheng Qi, Zhiqiang Li
openaire   +1 more source

Modelling combined automata via semi-tensor product of matrices

Proceedings of the 33rd Chinese Control Conference, 2014
Using semi-tensor product of matrices (STP), a new matrix analysis tool, this paper investigates the problem of modelling combined automata, which are constructed in three ways: parallel, serial and feedback. By representing the states, input and output symbols in vector forms, the transition and output functions are expressed as algebraic equations of
Yongyi Yan, Zengqiang Chen, Zhongxin Liu
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Algebraic method of simplifying Boolean networks using semi‐tensor product of Matrices

Asian Journal of Control, 2019
AbstractThe huge state space of large Boolean networks makes analysis and synthesis difficult. This paper, using a new matrix analysis tool called semi‐tensor product of matrices, to explain a simplification method of Boolean networks in a mathematical manner. The idea consists of two steps.
Yongyi Yan, Jumei Yue, Zengqiang Chen
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An Introduction to Semi-Tensor Product of Matrices and Its Applications

2011
Multi-Dimensional Data Semi-Tensor Product of Matrices Multilinear Mappings Among Vector Spaces Right and General Semi-Tensor Products Rank, Pseudo-Inverse, and Positivity of STP Matrix Expression of Logic Mix-Valued Logic Logical Matrix, Fuzzy Set and Fuzzy Logic Fuzzy Relational Equation Fuzzy Control with Coupled Fuzzy Relations Boolean Function ...
Daizhan Cheng, Hongsheng Qi, Yin Zhao
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Language acceptability of finite automata based on theory of semi‐tensor product of matrices

Asian Journal of Control, 2019
AbstractUsing the theories of many‐valued logic and semi‐tensor product of matrices (STP), this paper investigates how to mathematically determine whether or not a regular language is recognized by finite automata (FA). To this end, the dynamic behaviour of FA is first formulated as bilinear dynamic equations, which provides a uniform model for ...
Jumei Yue, Yongyi Yan, Zengqiang Chen
openaire   +1 more source

Observability analysis of combined finite automata based upon semi-tensor product of matrices approach

Transactions of the Institute of Measurement and Control, 2020
As a fundamental subject, the state estimation of deterministic finite automata has received considerable attention. Especially, it is increasingly necessary to study various problems based on more complex systems. In this paper, the observability of three kinds of combining automata, structured in parallel, serial and feedback manners, are ...
Zengqiang Chen 0001, Yingrui Zhou, Zhipeng Zhang, Zhongxin Liu 0001   +3 more
openaire   +1 more source