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An Introduction to Semi-Tensor Product of Matrices and Its Applications de Daizhan Cheng

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

Autor Daizhan Cheng, Hongsheng Qi, Yin Zhao
en Limba Engleză Hardback – 30 mai 2012
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.
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Specificații

ISBN-13: 9789814374682
ISBN-10: 9814374687
Pagini: 612
Dimensiuni: 155 x 229 x 38 mm
Greutate: 0.98 kg
Ediția:New.
Editura: World Scientific Publishing Company

Cuprins

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.