no code implementations • 22 Apr 2023 • Daizhan Cheng, Xiao Zhang, Zhengping Ji
The first kind of representation is state-based, which converts a BCN into a TS with either distinct control or non-distinct control.
no code implementations • 25 Mar 2023 • Zhengping Ji, Xiao Zhang, Daizhan Cheng
Then the overall network can be approximated by the quotient systems of each blocks, which is called the aggregated simulation.
no code implementations • 11 Mar 2023 • Daizhan Cheng, Xiao Zhang, Zhengping Ji
Some basic properties of the STP of matrices are extended to the STP of hypermatrices.
no code implementations • 23 Nov 2022 • Xiao Zhang, Min Meng, Zhengping Ji
The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach.
no code implementations • 1 Sep 2022 • Daizhan Cheng, HongSheng Qi, Xiao Zhang, Zhengping Ji
Finally, the relationship between state invariant subspace and dual invariant subspace of a network is investigated.
no code implementations • 9 Jun 2022 • Daizhan Cheng, Zhengping Ji
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 vector space, called the Euclidean space of different dimension (ESDD).
no code implementations • 25 Nov 2021 • Xiao Zhang, Zhengping Ji, Daizhan Cheng
It is a common belief that the order of a Boolean network is mainly determined by its attractors, including fixed points and cycles.