Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays Article Swipe
Chengdong Yang
,
Jianlong Qiu
,
Tongxing Li
,
Ancai Zhang
,
Xiangyong Chen
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.3390/e17117298
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.3390/e17117298
This paper addresses the problem of projective exponential synchronization for a class of complex spatiotemporal networks with multiple time delays satisfying the homogeneous Neumann boundary conditions, where the network is modeled by coupled partial differential-difference equations (PDDEs). A distributed proportional-spatial derivative (P-sD) controller is designed by employing Lyapunov’s direct method and Kronecker product. The controller ensures the projective exponential synchronization of the PDDE network. The main result of this paper is presented in terms of standard linear matrix inequality (LMI). A numerical example is provided to show the effectiveness of the proposed design method.
Related Topics
Concepts
Kronecker product
Mathematics
Controller (irrigation)
Synchronization (alternating current)
Class (philosophy)
Exponential function
Kronecker delta
Complex network
Applied mathematics
Control theory (sociology)
Computer science
Topology (electrical circuits)
Mathematical analysis
Control (management)
Biology
Agronomy
Combinatorics
Physics
Artificial intelligence
Quantum mechanics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/e17117298
- https://www.mdpi.com/1099-4300/17/11/7298/pdf?version=1446038705
- OA Status
- gold
- Cited By
- 9
- References
- 39
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W1875107200
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W1875107200Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3390/e17117298Digital Object Identifier
- Title
-
Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time DelaysWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2015Year of publication
- Publication date
-
2015-10-28Full publication date if available
- Authors
-
Chengdong Yang, Jianlong Qiu, Tongxing Li, Ancai Zhang, Xiangyong ChenList of authors in order
- Landing page
-
https://doi.org/10.3390/e17117298Publisher landing page
- PDF URL
-
https://www.mdpi.com/1099-4300/17/11/7298/pdf?version=1446038705Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.mdpi.com/1099-4300/17/11/7298/pdf?version=1446038705Direct OA link when available
- Concepts
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Kronecker product, Mathematics, Controller (irrigation), Synchronization (alternating current), Class (philosophy), Exponential function, Kronecker delta, Complex network, Applied mathematics, Control theory (sociology), Computer science, Topology (electrical circuits), Mathematical analysis, Control (management), Biology, Agronomy, Combinatorics, Physics, Artificial intelligence, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
9Total citation count in OpenAlex
- Citations by year (recent)
-
2021: 1, 2020: 1, 2019: 1, 2018: 2, 2017: 2Per-year citation counts (last 5 years)
- References (count)
-
39Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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