%0 Journal Article
%T Tensor-Product Representation for Switched Linear Systems
%A Dengyin Jiang
%A Lisheng Hu
%J Journal of Applied Mathematics and Physics
%P 322-337
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.33045
%X This
paper presents the method for the construction of tensor-product representation
for multivariate switched linear systems, based on a suitable tensor-product
representation of vectors and matrices. We obtain a representation theorem for
multivariate switched linear systems. The stability properties of the
tensor-product representation are investigated in depth, achieving the
important result that any stable switched systems can be constructed a stable
tensor-product representation of finite dimension. It is shown that the
tensor-product representation provides a high level framework for describing
the dynamic behavior. The interpretation of expressions within the
tensor-product representation framework leads to enhanced conceptual and
physical understanding of switched linear systems dynamic behavior.
%K Switched Linear Systems
%K Tensor-Product Representation
%K Stability
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=55165