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Algebraic method for LU decomposition in commutative quaternion based on semi‐tensor product of matrices and application to strict image authentication

Mathematical methods in the applied sciences
As a kind of commutative and associative four‐dimensional algebra, commutative quaternion has better applications in color image and signal processing than quaternion.
Wenxv Ding   +4 more
semanticscholar   +1 more source

Synchronization Design of Boolean Networks via the Semi-Tensor Product Method

IEEE Transactions on Neural Networks and Learning Systems, 2013
We provide a general approach for the design of a response Boolean network (BN) to achieve complete synchronization with a given drive BN. The approach is based on the algebraic representation of BNs in terms of the semi-tensor product of matrices. Instead of designing the logical dynamic equations of a response BN directly, we first construct its ...
Rui Li
exaly   +3 more sources

Application of Matrix Semi-Tensor Product in Chaotic Image Encryption

Journal of the Franklin Institute, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Suo Gao, Xingyuan Wang
exaly   +3 more sources

Semi-tensor product approach to controllability, reachability, and stabilizability of extended finite state machines

Frontiers of Information Technology & Electronic Engineering
This paper uses the semi-tensor product (STP) of matrices and adopts algebraic methods to study the controllability, reachability, and stabilizability of extended finite state machines (EFSMs). First, we construct the bilinear dynamic system model of the
Chao Dong   +3 more
semanticscholar   +1 more source

Nonsingularity of Trivium-like cascade FSRs over finite fields via semi-tensor product

International Journal of Control, 2022
In stream cipher designing, nonsingularity is a crucial requirement to ensure that the feedback shift registers (FSRs) do not produce keys that are equivalent to one another.
Zhe Gao, Jun-e Feng
semanticscholar   +1 more source

Updated formulas for semi-tensor product of matrices

2017 36th Chinese Control Conference (CCC), 2017
Some main formulas about semi-tensor product (STP) of matrices are presented in their mostly updated forms. The formulas consist of (i) fundamental formulas about STP; (ii) swap and permutation related formulas; (iii) formulas for the application of STP to logical systems; (iv) the relationship of STP with Kronecker products; (v) formulas for the ...
Yaqi Hao, Xiao Zhang, Daizhan Cheng
openaire   +1 more source

Image Compression and Encryption Based on Compressive Sensing and Game of Life With Semi-Tensor Product

IEEE Internet of Things Journal
This article proposes an image compression and encryption algorithm based on 3-D logistic-sine-memristor coupled map (3D-LSMCM), compressed sensing (CS), and the game-of-life scrambling with semi-tensor product (STP-GoL) to solve the problems of ...
Yi-Ting Guo   +4 more
semanticscholar   +1 more source

Game-based control systems: A semi-tensor product formulation

2012 12th International Conference on Control Automation Robotics & Vision (ICARCV), 2012
A class of control systems, which are emerged from dynamic games, are considered. Using semi-tensor product of matrices, the set of strategies can be described as a set of matrices. Then the dynamics of such systems can be converted from logical type dynamics into standard discrete-time dynamic systems.
Daizhan Cheng, Yin Zhao
openaire   +1 more source

Parallelizable Exact Synthesis of Quantum Circuits via Semi-Tensor Product

arXiv.org
Exact synthesis is a key infrastructure in quantum circuit synthesis and optimization, which provides optimal implementations of small circuit shards and is widely used as a circuit re-synthesis optimization kernel.
Chen-Jian Li   +5 more
semanticscholar   +1 more source

On degeneracy problem of NFSRs via semi-tensor product

2020 39th Chinese Control Conference (CCC), 2020
The degeneracy problem of nonlinear feedback shift registers (NFSRs) is investigated in this paper. A new method for finding sub-families included in a family of NFSR sequences is proposed. First, the algebraic form of Fibonacci NFSR is proposed by viewing the NFSR as a Boolean network. Some properties of the algebraic expression are provided.
Xinyu Zhao   +3 more
openaire   +1 more source

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