From dimension-free manifolds to dimension-varying control systems
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 …
two vectors of different dimensions are proposed, which makes the spaces into a topological …
The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach
S Zhu, J Feng - Applied Mathematics and Computation, 2021 - Elsevier
In this paper, the authors address the set stabilization problem for Markovian jump Boolean
control networks (MJBCNs) by state feedback control. Based on the semi-tensor product, a …
control networks (MJBCNs) by state feedback control. Based on the semi-tensor product, a …
Semi‐tensor product of quaternion matrices and its application
X Fan, Y Li, W Ding, J Zhao - Mathematical Methods in the …, 2023 - Wiley Online Library
Unlike real or complex numbers, quaternion multiplication does not satisfy the commutative
law. This makes it impossible to generalize some conclusions on semi‐tensor product to …
law. This makes it impossible to generalize some conclusions on semi‐tensor product to …
Solving reduced biquaternion matrices equation [k. summation over (i= 1)][A. sub. i] X [B. sub. i]= C with special structure based on semi-tensor product of matrices.
W Ding, Y Li, A Wei, Z Liu - AIMS Mathematics, 2022 - go.gale.com
In this paper, we propose a real vector representation of reduced quaternion matrix and
study its properties. By using this real vector representation, Moore-Penrose inverse, and …
study its properties. By using this real vector representation, Moore-Penrose inverse, and …
[PDF][PDF] Solving reduced biquaternion matrices equation
W Ding, Y Li, A Wei, Z Liu - 2022 - aimspress.com
In this paper, we propose a real vector representation of reduced quaternion matrix and
study its properties. By using this real vector representation, Moore-Penrose inverse, and …
study its properties. By using this real vector representation, Moore-Penrose inverse, and …
Algebraic Relations among Four Types of Right Semi‐Tensor Product
N Chen, M Lin, Y Li - Mathematical Problems in Engineering, 2021 - Wiley Online Library
In this paper, algebraic relations among four kinds of right semi‐tensor product (STP) are
discussed. Firstly, this paper provides definitions of right STPs, consisting of the first right …
discussed. Firstly, this paper provides definitions of right STPs, consisting of the first right …