Partial synchronization in community networks based on the intra- community connections Article Swipe
Jianbao Zhang
,
Xiangyong Chen
,
Jinde Cao
,
Jianlong Qiu
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3934/math.2021385
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3934/math.2021385
In this paper, we propose a novel criterion on the partial synchronization in a generalized linearly coupled network by employing Lyapunov stability theory and linear matrix inequality. The obtained criterion is only dependent on intra-community connections, and the information of inter-community connections is not necessary. Therefore, it provides more convenience in reducing network sizes in practice. Compared with the previous classical criterion, the threshold derived from the obtained criterion is no less than the classical threshold. We give some particular cases in which the obtained threshold is equal to the classical threshold. Finally, we show numerical simulations to verify the validity of the proposed criteria and comparisons.
Related Topics
Concepts
Synchronization (alternating current)
Stability criterion
Stability (learning theory)
Mathematics
Computer science
Applied mathematics
Lyapunov stability
Matrix (chemical analysis)
Control theory (sociology)
Mathematical optimization
Topology (electrical circuits)
Artificial intelligence
Statistics
Control (management)
Discrete time and continuous time
Composite material
Machine learning
Materials science
Combinatorics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3934/math.2021385
- OA Status
- gold
- Cited By
- 3
- References
- 28
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3153682953
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W3153682953Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3934/math.2021385Digital Object Identifier
- Title
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Partial synchronization in community networks based on the intra- community connectionsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-01-01Full publication date if available
- Authors
-
Jianbao Zhang, Xiangyong Chen, Jinde Cao, Jianlong QiuList of authors in order
- Landing page
-
https://doi.org/10.3934/math.2021385Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://doi.org/10.3934/math.2021385Direct OA link when available
- Concepts
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Synchronization (alternating current), Stability criterion, Stability (learning theory), Mathematics, Computer science, Applied mathematics, Lyapunov stability, Matrix (chemical analysis), Control theory (sociology), Mathematical optimization, Topology (electrical circuits), Artificial intelligence, Statistics, Control (management), Discrete time and continuous time, Composite material, Machine learning, Materials science, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2024: 2Per-year citation counts (last 5 years)
- References (count)
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28Number of works referenced by this work
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-
10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W2046808776, https://openalex.org/W1975409019, https://openalex.org/W2099129142, https://openalex.org/W2004960067, https://openalex.org/W2935233765, https://openalex.org/W2912380953, https://openalex.org/W1970442252, https://openalex.org/W2057150059, https://openalex.org/W3016553314, https://openalex.org/W2019749489, https://openalex.org/W2782074894, https://openalex.org/W2924971773, https://openalex.org/W2573485269, https://openalex.org/W2904448246, https://openalex.org/W2017261411, https://openalex.org/W2131488242, https://openalex.org/W2523747257, https://openalex.org/W1999474357, https://openalex.org/W2793779440, https://openalex.org/W2018660718, https://openalex.org/W1994232608, https://openalex.org/W2021444019, https://openalex.org/W638790480, https://openalex.org/W1966811233, https://openalex.org/W3036953780, https://openalex.org/W2902388117, https://openalex.org/W2912583689, https://openalex.org/W3007792336 |
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| corresponding_author_ids | https://openalex.org/A5083193684 |
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| corresponding_institution_ids | https://openalex.org/I15823474, https://openalex.org/I193775966, https://openalex.org/I76569877 |
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| sustainable_development_goals[0].display_name | Reduced inequalities |
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