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has been cited by the following article:

• 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.