TY  - BOOK
AU  - Cheng,Daizhan
AU  - Qi,Honsheng
AU  - Zhao,Yin
TI  - An introduction to semi-tensor product of matrices and its applications
SN  - 9814374687
AV  - QA329 .T74 2012eb
U1  - 515.724 22
PY  - 2012///
CY  - Singapore, Hackensack, NJ
PB  - Distributed by World Scientific Pub.
KW  - Operator theory
KW  - Matrices
KW  - Spectral theory (Mathematics)
KW  - Théorie des opérateurs
KW  - Spectre (Mathématiques)
KW  - MATHEMATICS
KW  - Calculus
KW  - bisacsh
KW  - Mathematical Analysis
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references (pages 573-581) and index; 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 -- Representation of boolean functions -- 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 systems
N2  - 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=478628
ER  -