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A new semi-tensor product of matrices
Control Theory and Technology, 2019A new matrix product, called the second semi-tensor product (STP-II) of matrices is proposed. It is similar to the classical semi-tensor product (STP-I). First, its fundamental properties are presented. Then, the equivalence relation caused by STP-II is obtained. Using this equivalence, a quotient space is also obtained.
Daizhan Cheng, Zequn Liu
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Singular Boolean networks: Semi-tensor product approach
Science China Information Sciences, 2012Singular Boolean networks are introduced in this paper. 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 ...
JunE Feng, Juan Yao, Peng Cui
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Storage Constrained Smart Meter Sensing using Semi-Tensor Product
2019 IEEE International Conference on Systems, Man and Cybernetics (SMC), 2019Utility companies are an integral part of the smart grid, providing consumers with a broad range of energy management programs. The quality of service is based on the measurements obtained from smart metering infrastructures, which can further be improved by sensing at finer resolutions.
Joshi A. +3 more
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On Semi-tensor Product of Matrices and Its Applications
Acta Mathematicae Applicatae Sinica, English Series, 2003Similarly to the left semi-tensor product the authors introduce the right semi-tensor product. Certain properties are presented. The major differences between the left and the right semi-tensor products are discussed. Then two new applications are investigated. The first one is its application to the connection.
Cheng, Daizhan, Zhang, Lijun
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Semi-tensor Product of Matrices
2011This 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
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A semi-tensor product approach for Probabilistic Boolean Networks
2014 8th International Conference on Systems Biology (ISB), 2014Modeling genetic regulatory networks is an important issue in systems biology. Various models and mathematical formalisms have been proposed in the literature to solve the capture problem. The main purpose in this paper is to show that the transition matrix generated under semi-tensor product approach (Here we call it the probability structure matrix ...
Qiu, Y, Cheng, X, Hou, W, Ching, WK
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Optimization of expert system via semi-tensor product
2017 32nd Youth Academic Annual Conference of Chinese Association of Automation (YAC), 2017An expert system (ES) is a computer system that emulates the decision-making ability of a human expert. And it is designed to solve complex problems by reasoning about knowledge, represented primarily as IF-THEN rules. However, the control accuracy is determined by the complexity of the IF-THEN rules, which are designed according to the practical ...
Ping Jiang, Hongliang Yu, Siguang Wang
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Fuzzy graph coloring via semi-tensor product method
2015 34th Chinese Control Conference (CCC), 2015This paper considers the fuzzy graph coloring problem. Using the matrix semi-tensor product, two necessary and sufficient conditions are put forward for the fuzzy colorability, based on which a new algorithm is designed to find all the fuzzy coloring schemes for any fuzzy graph.
Xu Meirong, Wang Yuzhen, Jiang Ping
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Minimum coloring problem via semi-tensor product method
2017 29th Chinese Control And Decision Conference (CCDC), 2017This paper considers the minimum coloring problem by using the matrix semi-tensor product, and obtains a number of new results and algorithms. Firstly, the minimum coloring problem is expressed into a kind of optimization problem taking in an algebraic form of matrices, based on which an algorithm is designed to find all the minimum coloring schemes ...
Meirong Xu, Yige Zhao
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Solvability of matrix equations , under semi-tensor product
Linear and Multilinear Algebra, 2016In this paper we consider the solvability of the matrix equations , with respect to the semi-tensor product. Using the concept of the semi-tensor product which was initially proposed by Cheng et al. [An introduction to Semi-Tensor product of matrices and its applications, World Scientific, 2012], firstly we investigate the matrix–vector equations ...
Jiao-fen Li +4 more
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