报 告 人：程代展 研究员，中国科学院数学与系统科学研究院
报告题目：On Cross-Dimensional Dynamic Systems
内容简介：Cross-dynamic systems have various of scientific and engineering backgrounds, such as insect population dynamics, spacecraft docking/undocking, power generator modeling, superstring, etc.
Under the semi-tensor product (STP, or MM-product) of matrices, the set of matrices (M) with arbitrary dimensions becomes a monoid (semi-group with identity). The set of vectors (V) with arbitrary dimensions is considered as the state space of cross-dimensional dynamic systems. The action of M on V is proposed as the MV-product, which satisfies the requirement of S-system. Define a (generalized) inner product on V, which provides a topological structure on $V$. Then the action becomes a cross-dimensional linear system. The following problems are discussed in this talk: (1) calculation of trajectories of cross-dimensional systems; (2) modeling of cross-dimensional control systems; (3) projection of a dynamic system of higher dimension onto a lower dimensional vector space; (4) some further topics.
报告人简介：Prof. Daizhan Cheng graduated from Tsinghua University in 1970, received M.S. from Graduate School, Chinese Academy of Sciences in 1981, and Ph.D. from Washington University, St. Louis, in 1985. Since 1990, he is a professor with Institute of Systems Science, AMSS, Chinese Academy of Sciences. He is the author/coauthor of 14 Books, over 250 Journal Papers and over 150 Conference Papers. He was member of IEEE CSS Board of Governors (2009, 2015), and IFAC Council Member (2011-2014). He is IEEE Fellow (2006-), IFAC Fellow (2008-). He received Second National Natural Science Award twice (in 2008 and 1014), Outstanding Science and Technology Achievement Price of CAS (2015), and the Automatica Best Paper Award (2008-2010), bestowed by IFAC.