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International Journal of Robust and Nonlinear Control, ISSN 1049-8923, 01/2017, Volume 27, Issue 1, pp. 3 - 14
Summary This paper studies bipartite consensus problems for continuous‐time multi‐agent system over signed directed graphs. We consider general linear agents... 
bipartite consensus | signed graph | multi‐agent system | multi-agent system | SYNCHRONIZATION | MATHEMATICS, APPLIED | NETWORKS | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Robust control | Design engineering | State feedback | Multiagent systems | Equivalence | Graph theory | Feedback control | Output feedback
Journal Article
IEEE Transactions on Circuits and Systems II: Express Briefs, ISSN 1549-7747, 08/2019, Volume 66, Issue 8, pp. 1436 - 1440
In this brief, leader-follower bipartite consensus of a group of linear multiagent systems is studied over a signed directed graph where all the followers are... 
State feedback | bipartite consensus | Laplace equations | Symmetric matrices | Uncertainty | Multiagent systems | mismatched disturbances | Observers | Linear matrix inequalities | signed directed graph | Output feedback | NETWORKS | FEEDBACK | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Journal of the Royal Statistical Society. Series B (Statistical Methodology), ISSN 1369-7412, 1/2010, Volume 72, Issue 1, pp. 111 - 127
Formal rules governing signed edges on causal directed acyclic graphs are described and it is shown how these rules can be useful in reasoning about causality.... 
Descendants | Mathematical monotonicity | Population growth | Reactivity | Covariance | Directed acyclic graphs | Histamine H1 antagonists | Inference | Artificial intelligence | Asthma | Causal inference | Confounding | Structural equations | Bias | DIAGRAMS | INDEPENDENCE | STATISTICS & PROBABILITY | EMPIRICAL-RESEARCH | NETWORKS | Public health
Journal Article
Industrial & Engineering Chemistry Research, ISSN 0888-5885, 06/2014, Volume 53, Issue 23, pp. 9792 - 9804
Signed directed graph (SDG), as a widely applied fault diagnosis approach, is unable to express complicated logic relations other than logic OR and usually... 
ENGINEERING, CHEMICAL | SYSTEMATIC FRAMEWORK | DIGRAPHS | MODEL | SDG | CHEMICAL-PROCESSES | Fault diagnosis | Heaters | Probability theory | Inference | Mathematical models | Probabilistic methods | Graph theory | Logic | Bayesian analysis
Journal Article
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, ISSN 1536-0040, 2019, Volume 18, Issue 1, pp. 458 - 480
Many real-world systems of coupled agents exhibit directed interactions, meaning that the influence of an agent on another is not reciprocal. Furthermore,... 
MATHEMATICS, APPLIED | Kuramoto model | directed graphs | OSCILLATORS | RING | synchronization | NETWORKS | oriented graphs | LOCKING | PHYSICS, MATHEMATICAL
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2019, Volume 523, pp. 392 - 407
This article proposes a new method of clustering based on minimizing the elastic energy functional (EEF) of directed weighted signed graphs. The new method has... 
Elastic energy functional | Clustering detection | Directed weighted graphs | Optimization methods | PHYSICS, MULTIDISCIPLINARY | DETECTING COMMUNITY STRUCTURE | ALGORITHM | NETWORKS
Journal Article
International Journal of Applied Mathematics and Computer Science, ISSN 1641-876X, 03/2012, Volume 22, Issue 1, pp. 41 - 53
This paper is concerned with the fusion of information from process data and process connectivity and its subsequent use in fault diagnosis and process hazard... 
process hazard assessment | fault diagnosis | signed directed graph | process topology | transfer entropy | MATHEMATICS, APPLIED | PROCESS SUPERVISION | SYSTEMATIC FRAMEWORK | DIGRAPHS | CHEMICAL-PROCESS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | FAULT-DIAGNOSIS | AUTOMATION & CONTROL SYSTEMS
Journal Article
IEEE Transactions on Systems, Man, and Cybernetics: Systems, ISSN 2168-2216, 07/2015, Volume 45, Issue 7, pp. 1004 - 1017
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 10/2016, Volume 506, pp. 316 - 328
A theory of orientation on gain graphs (voltage graphs) is developed to generalize the notion of orientation on graphs and signed graphs. Using this... 
Voltage graph | Line graph eigenvalues | Gain graph | Orientation on gain graphs | Complex unit gain graph | Oriented gain graph | MATHEMATICS, APPLIED | WEIGHTED DIRECTED-GRAPHS | BIASED GRAPHS | SIGNED GRAPHS | BALANCE | 3-COLORED DIGRAPHS | D-INFINITY | MATHEMATICS | SYSTEMS
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 06/2017, Volume 523, pp. 281 - 306
The eigenvalues of the Laplacian matrix for a class of directed graphs with both positive and negative weights are studied. The Laplacian matrix naturally... 
Directed signed graph | Eigenvalues of Laplacian matrix | MATHEMATICS | SYNCHRONIZATION | MATHEMATICS, APPLIED | OSCILLATORS | NETWORKS
Journal Article
Ars Combinatoria, ISSN 0381-7032, 04/2018, Volume 138, pp. 119 - 131
Let D = (V, A) be a finite simple directed graph (shortly digraph). A function f : V ->{-1, 1} is called a twin signed total dominating function (TSTDF) if f... 
Twin signed total domination number | Directed graph | Twin signed total dominating function | GENERALIZED DE-BRUIJN | MATHEMATICS | twin signed total domination number | DIGRAPHS | twin signed total dominating function | directed graph
Journal Article
Chemical Engineering Science, ISSN 0009-2509, 2006, Volume 61, Issue 6, pp. 1790 - 1810
Journal Article
RAIRO - Operations Research, ISSN 0399-0559, 10/2017, Volume 51, Issue 4, pp. 1331 - 1343
Let D = (V, A) be a finite simple directed graph (shortly digraph), N-(v) and N+(v) denote the set of in-neighbors and out-neighbors of a vertex v is an... 
Twin signed total k-domination number | Twin signed total k-dominating function | Directed graph | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | twin signed total k-domination number | directed graph | Graphs | Mathematical functions | Graph theory | Weight
Journal Article
Chemical Engineering Research and Design, ISSN 0263-8762, 2007, Volume 85, Issue 10, pp. 1407 - 1422
In this article a combined signed directed graph (SDG) and qualitative trend analysis (QTA) framework for incipient fault diagnosis has been proposed. The SDG... 
denoising | fault diagnosis | Tennessee Eastman process | time series | signed directed graph | process monitoring | trend analysis | Fault diagnosis | Process monitoring | Time series | Trend analysis | Signed directed graph | Denoising | SYSTEM | PLANT | ALGORITHM | REPRESENTATION | COMPONENTS | CLASSIFICATION | DIGRAPHS | IDENTIFICATION | ENGINEERING, CHEMICAL | SDG | QUANTITATIVE MODEL
Journal Article
Journal of Power Sources, ISSN 0378-7753, 2011, Volume 196, Issue 14, pp. 5881 - 5888
Journal Article
Computers and Chemical Engineering, ISSN 0098-1354, 05/2014, Volume 64, pp. 167 - 177
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 06/2012, Volume 436, Issue 11, pp. 4193 - 4222
We consider the normalized Laplace operator for directed graphs with positive and negative edge weights. This generalization of the normalized Laplace operator... 
Eigenvalues | Directed graphs | Directed acyclic graphs | Normalized graph Laplace operator | Neighborhood graph | MATHEMATICS | MATHEMATICS, APPLIED | BOUNDS | MATRICES
Journal Article
Tamkang Journal of Mathematics, ISSN 0049-2930, 09/2016, Volume 47, Issue 3, pp. 357 - 371
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 20, pp. 6367 - 6378
Let D = (V, A) be a finite simple directed graph (digraph). A function f : V -> {-1, 1} is called a twin signed k-dominating function (TSkDF) if f (N [v]) >= k... 
Twin signed k-dominating function | Twin signed k-domination number | Directed graph | MATHEMATICS | MATHEMATICS, APPLIED | LOWER BOUNDS | twin signed k-dominating function | twin signed k-domination number | directed graph
Journal Article
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