Introduction To Semi-tensor Product Of Matrices And Its Applications, An
By: Hongsheng Qi (author), Daizhan Cheng (author), Yin Zhao (author)HardbackUp to 2 WeeksUsually despatched within 2 weeks
Description
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.Contents
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 with Galois Field Structure; Decomposition of Logical Functions; Boolean Calculus; Lattice, Graph, and Universal Algebra; Boolean Network; Boolean Control System; Game Theory; Multi-Variable Polynomials; Some Applications to Differential Geometry and Algebra; Morgan's Problem; Linearization of Nonlinear Control Systems; Stability Region of Dynamic System.Product Details
- publication date: 21/08/2012
- ISBN13: 9789814374682
- Format: Hardback
- Number Of Pages: 612
- ID: 9789814374682
- ISBN10: 9814374687
Delivery Information
- Saver Delivery: Yes
- 1st Class Delivery: Yes
- Courier Delivery: Yes
- Store Delivery: Yes
