INTRODUCTION TO SEMI-TENSOR PRODUCT OF MATRICES AND ITS APPLICATIONS, AN - Hardcover

Cheng Daizhan

Hardcover

ISBN 10: 9814374687 ISBN 13: 9789814374682

Publisher: World Scientific Pub Co Inc, 2012

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: World Scientific Pub Co Inc
• Publication date: 2012
• Language: English
• ISBN 10: 9814374687
• ISBN 13: 9789814374682
• Binding: Hardcover
• Edition number: 1
• Number of pages: 587