Introduction To Semi-tensor Product Of Matrices And Its Applications, An
| By: | Cheng Daizhan |
| Publisher: | World Scientific Publishing |
| Print ISBN: | 9789814374682 |
| eText ISBN: | 9789814374699 |
| Edition: | 0 |
| Format: | Page Fidelity |
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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.