Semi-tensor Product of Matrices

摘要: This chapter provides a basic introduction to the semi-tensor product of matrices. We will emphasize concepts, geometric interpretations, and some fundamental properties. All proofs are omitted as we refer Cheng Qi (Semi-tensor Product Matrices—Theory Applications, Science Press, Beijing, 2007) for them. The theory consists mainly two parts: algebraic calculation differential calculation. A survey can be found in (Proc. 4th International Congress Chinese Mathematicians, pp. 641–668, Higher Edu. Int. Hangzhou, 2007). book involves only first part, which is introduced this chapter. Mei et al. Approach Transient Analysis Power Systems, Tsinghua Univ. 2010) applications power systems, where second part (differential calculation) used.