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.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Graduates, researchers, scientists and engineers studying Semi-Tensor Product (STP).
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 235 mm
Breite: 157 mm
Dicke: 37 mm
Gewicht
ISBN-13
978-981-4374-68-2 (9789814374682)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Chinese Academy Of Sciences, China
Chinese Academy Of Sciences, China
Chinese Academy Of Sciences, China
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.
