D Cheng, Z Ji - arXiv preprint arXiv:2206.04461, 2022 - arxiv.org
Starting from the vector multipliers, the inner product, norm, distance, as well as addition of two vectors of different dimensions are proposed, which makes the spaces into a topological …
J Feng, B Wang, Y Yu - International Journal of Control, Automation and …, 2021 - Springer
This letter investigates the variance of state dimensions of linear discrete dimension- unbounded systems, which are a class of cross-dimensional systems. First, the dimensional …
程代展, 赵荣, 冯俊娥 - Control Theory & Applications …, 2024 - search.ebscohost.com
(1. Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100190, China; 2. School of Mathematics, Shandong …
D Cheng - arXiv preprint arXiv:2406.12920, 2024 - arxiv.org
When investigating the set of matrices and vectors with mixed dimensions (MVMD), which are posed by cross-dimensional operators: semi-tensor product (STP) and semi-tensor …
Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with …
Y Liu, H Li - 2021 40th Chinese Control Conference (CCC), 2021 - ieeexplore.ieee.org
This paper investigates the relations of controllability and observability between continuous- time linear system and its projective system. By using the V-addition, the projective system …
S Xue, L Zhang, Z Xie, W Yan, K Zhang - Journal of Systems Science and …, 2023 - Springer
The cross-dimensional dynamical systems have received increasing research attention in recent years. This paper characterizes the structure features of the cross-dimensional vector …
D Cheng, Z Liu, Z Xu, T Shen - IET Control Theory & …, 2020 - Wiley Online Library
By introducing matrix multiplier and vector multiplier two kinds of semi‐tensor products (STPs), called matrix–matrix (MM) STPs and matrix–vector (MV) STPs, are introduced. They …