An Introduction To Semi Tensor Product Of Matrices And Its Applications


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An Introduction to Semi-tensor Product of Matrices and Its Applications


An Introduction to Semi-tensor Product of Matrices and Its Applications

Author: Dai-Zhan Cheng

language: en

Publisher: World Scientific

Release Date: 2012


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A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations.This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

An Introduction to Semi-tensor Product of Matrices and Its Applications


An Introduction to Semi-tensor Product of Matrices and Its Applications

Author: Daizhan Cheng

language: en

Publisher: World Scientific

Release Date: 2012


DOWNLOAD





Proposes a generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP). This book offers a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

An Introduction To Semi-tensor Product Of Matrices And Its Applications


An Introduction To Semi-tensor Product Of Matrices And Its Applications

Author: Daizhan Cheng

language: en

Publisher: World Scientific

Release Date: 2012-05-31


DOWNLOAD





A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations.This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.