报告题目： Cross-Dimensional Linear Systems
报告人: Daizhan Cheng

摘要: A linear system can be considered as an action of matrix on vector space. To construct a cross-dimensional linear system (CDLS), three factors have to be considered: (1) State Space (V): The set of vector spaces with various dimensions is considered as the state space of CDLS. A vector space structure and a topology have been proposed on such a set of cross-dimensional vector spaces. (2) Set of Matrices (M): Matrices of various dimensions form this set. Semi-tensor product (or MM product) makes this set a monoid (i.e. semi-group with identity). (3) Action: The action of M on V is proposed as an MV-product. This action becomes an S-system, which produces CDLS. Corresponding control CDLS is also proposed. Trajectory calculation and some properties are investigated.

报告时间：2018年4月17日（周二）15:30

报告地点：长清校区B434报告厅

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