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International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 04/2013, Volume 23, Issue 6, pp. 638 - 652
Journal Article
Asian Journal of Control, ISSN 1561-8625, 11/2019, Volume 21, Issue 6, pp. 2614 - 2623
An equivalence of matrices via semi‐tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential... 
quotient topology | metric topology | equivalence class | quotient space | product topology | semi‐tensor product | ALGORITHM | OBSERVABILITY | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS | semi-tensor product
Journal Article
Automatica, ISSN 0005-1098, 10/2018, Volume 96, pp. 393 - 397
In this paper, a novel way is proposed to investigate the transformation between Galois nonlinear feedback shift registers (NLFSRs) and Fibonacci NLFSRs.... 
Galois NLFSRs | Fibonacci NLFSRs | Semi-tensor product | Absolute equivalence | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Electrical engineering | Swarm intelligence
Journal Article
IEEE Transactions on Systems, Man, and Cybernetics: Systems, ISSN 2168-2216, 03/2017, Volume 47, Issue 3, pp. 531 - 536
Journal Article
Asian Journal of Control, ISSN 1561-8625, 11/2019, Volume 21, Issue 6, pp. 2634 - 2643
Using the theories of many‐valued logic and semi‐tensor product of matrices (STP), this paper investigates how to mathematically determine whether or not a... 
matrix approach | finite automata | semi‐tensor product of matrices | finite‐valued systems | logical systems | BOOLEAN NETWORKS | OBSERVABILITY | finite-valued systems | AUTOMATION & CONTROL SYSTEMS | semi-tensor product of matrices
Journal Article
Asian Journal of Control, ISSN 1561-8625, 11/2019, Volume 21, Issue 6, pp. 2569 - 2577
The huge state space of large Boolean networks makes analysis and synthesis difficult. This paper, using a new matrix analysis tool called semi‐tensor product... 
Semi‐tensor product of matrices | Logical dynamic systems | Boolean Networks | finite‐valued systems | Matrix approach | DESIGN | MODELS | Semi-tensor product of matrices | finite-valued systems | AUTOMATION & CONTROL SYSTEMS
Journal Article
Asian Journal of Control, ISSN 1561-8625, 01/2020, Volume 22, Issue 1, pp. 500 - 510
In this paper, we present a comprehensive modeling technique for bounded Petri net systems (BPNSs) in the framework of the semi‐tensor product (STP) of... 
semi‐tensor product (STP) of matrices | reachability | controllability | Petri nets (PNs) | marking evolution equation (MEE) | semi-tensor product (STP) of matrices | GRAPH | SYSTEMS | NETWORKS | AUTOMATION & CONTROL SYSTEMS
Journal Article
IEEE Access, ISSN 2169-3536, 2019, Volume 7, pp. 153819 - 153828
Journal Article
Automatica, ISSN 0005-1098, 02/2015, Volume 52, pp. 340 - 345
In this paper, we propose a new approach to investigate the controllability and reachability of probabilistic Boolean control networks (PBCNs) with forbidden... 
Controllability | Probabilistic Boolean control network | Semi-tensor product | Transition probability matrix | Probabilistic | Boolean control network | SYNCHRONIZATION | INPUT | SYSTEMS | AUTOMATION & CONTROL SYSTEMS | GENETIC REGULATORY NETWORKS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal of the Franklin Institute, ISSN 0016-0032, 12/2019, Volume 356, Issue 18, pp. 11638 - 11667
This paper proposes a new image encryption method based on matrix semi-tensor product theory. Using Hyperchaotic Lorenz system to generate chaotic sequences,... 
Image encryption | Hyperchaotic Lorenz system | Positioning sort scrambled | Matrix semi-tensor product | SYSTEM | SUBSTITUTION | ALGORITHM | LEVEL PERMUTATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | HYPER-CHAOS | DIFFUSION | MAP | AUTOMATION & CONTROL SYSTEMS
Journal Article
Information Sciences, ISSN 0020-0255, 01/2020, Volume 507, pp. 16 - 36
This paper studies chaotic image encryption technology and an application of matrix semi-tensor product theory, and a Boolean network encryption algorithm for... 
2D-LASM chaotic system | Chaotic image encryption | Boolean network | Matrix semi-tensor product | SYNCHRONIZATION | CHAOTIC SYSTEM | NEURAL-NETWORKS | STABILITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | DELAYS | DIFFUSION | MAP | Information science | Algorithms
Journal Article
Future Generation Computer Systems, ISSN 0167-739X, 06/2018, Volume 83, pp. 468 - 475
This paper investigates the model matching problem of input/output asynchronous sequential machines (ASMs) based on the semi-tensor product (STP) of matrices.... 
Control unit | Asynchronous sequential machines | Semi-tensor product | Model matching | Observer | RACES | STATE-FEEDBACK | COMPUTER SCIENCE, THEORY & METHODS | ALGORITHMS
Journal Article
IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, 1/2020, pp. 1 - 1
This paper focuses on presenting a state-based matrix approach to the problem of fault detection for discrete event systems (DESs). Firstly, the given system... 
Discrete event systems(DESs) | matrix approach | finite-valued systems | logical systems | fault detection | semi-tensor product of matrices
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 09/2017, Volume 65, Issue 9, pp. 1705 - 1733
In this paper we consider the solvability of the matrix equations [Formula omitted.] , [Formula omitted.] with respect to the semi-tensor product. Using the... 
compatible conditions | necessary and sufficient condition | Matrix equation | semi-tensor product | Recursive algorithms | Matrix algebra | Mathematical analysis | Formulas (mathematics) | Matrix methods
Journal Article
ASIAN JOURNAL OF MATHEMATICS, ISSN 1093-6106, 04/2019, Volume 23, Issue 2, pp. 257 - 347
A new matrix product, called the semi-tensor product (STP), is briefly reviewed. The STP extends the classical matrix product to two arbitrary matrices. Under... 
MATHEMATICS | Semi-tensor product/addition(STP/STA) | bundled manifold/Lie algebra/Lie group(BM/BLA/BLG) | MATHEMATICS, APPLIED | lattice | topology | ALGORITHM | fiber bundle | DECOMPOSITION | EQUATIONS | matrix/vector equivalence (M-/V-) | vector product/addition(VP/VA)
Journal Article
中国科学:信息科学(英文版), ISSN 1674-733X, 2018, Volume 61, Issue 1, pp. 66 - 81
Journal Article
Automatica, ISSN 0005-1098, 01/2020, Volume 111, p. 108621
From the new perspective of logical matrix equations, observability of Boolean networks (BNs) is investigated in this paper. First, it is shown that one BN is... 
Boolean network | Matrix equation | Observability | Semi-tensor product of matrices | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Linear and Multilinear Algebra, ISSN 0308-1087, 09/2017, Volume 65, Issue 9, pp. 1705 - 1733
In this paper we consider the solvability of the matrix equations , with respect to the semi-tensor product. Using the concept of the semi-tensor product which... 
compatible conditions | necessary and sufficient condition | Matrix equation | semi-tensor product
Journal Article
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