Author(s)

Dengyin Jiang, Lisheng Hu^*

Department of Automation, Shanghai Jiao Tong University, Shanghai, China.

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.

Switched Linear Systems, Tensor-Product Representation, Stability

Jiang, D. and Hu, L. (2015) Tensor-Product Representation for Switched Linear Systems. Journal of Applied Mathematics and Physics, 3, 322-337. doi: 10.4236/jamp.2015.33045.