TITLE:
Tensor-Product Representation for Switched Linear Systems
AUTHORS:
Dengyin Jiang, Lisheng Hu
KEYWORDS:
Switched Linear Systems, Tensor-Product Representation, Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.3,
March
30,
2015
ABSTRACT: 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.