From dimension-free matrix theory to cross -dimensional dynamic systems /

"From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature promi...

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Bibliographic Details
Main Author:	Cheng, Daizhan (Author)
Corporate Author:	ScienceDirect (Online service)
Format:	eBook
Language:	English
Published:	London, United Kingdom ; San Diego, CA, United States : Academic Press, an imprint of Elsevier, [2019]
Series:	Mathematics in science and engineering.
Subjects:	Matrices. Lie algebras. Lie groups. Dynamics. Tensor products. Algèbres de Lie. Groupes de Lie. Dynamique. Produits tensoriels. SCIENCE > Mechanics > General. SCIENCE > Mechanics > Solids. Matrices Tensor products Dynamics Lie algebras Lie groups Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Semi-tensor product of matrices
Boolean networks
Finite games
Equivalence and lattice structures
Topological structure on quotient space
Differential geometry on set of matrices
Cross-dimensional Lie algebra and Lie group
Second matrix-matrix semi-tensor product
Structure on set of vectors
Dimension-varying linear system
Dimension-varying linear control system
Generalized dynamic systems
Dimension-varying nonlinear dynamic systems.