Semi-tensor Product of Matrices and Its Applications
主 题: Semi-tensor Product of Matrices and Its Applications
报告人: Prof. Daizhan Cheng(Institute of Systems Science, Chinese Academy of Sciences)
时 间: 2011-04-21 15:00-16:00
地 点: 理科一号楼1303
Semi-tensor product of matrices is a generalization of conventional matrix product to two matrices with arbitrary dimensions. The generalization keeps all major properties of the conventional matrix product unchanged. In this talk, after a brief introduction to this new matrix product, two kinds of its applications are discussed: (1) Analysis and control of Boolean networks.
Boolean network is a proper model of gene regulatory network etc. Its topology and basic control problems are discussed. (2) Application to nonlinear dynamic systems: Estimation of region of attraction of a stable equilibrium of nonlinear systems; the linearization of nonlinear systems, and the applications to some physical/mathematical problems etc. are presented.