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
Call Number:Libro Electrónico
Main Author: Cheng, Daizhan (Author)
Format: Electronic eBook
Language:Inglés
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.
Alg�ebres de Lie.
Groupes de Lie.
Dynamique.
Produits tensoriels.
SCIENCE > Mechanics > General.
SCIENCE > Mechanics > Solids.
Matrices
Tensor products
Dynamics
Lie algebras
Lie groups
Online Access:Texto completo
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.

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