| Autor: |
Zhai Guisheng |
| Jazyk: |
angličtina |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
International Journal of Applied Mathematics and Computer Science, Vol 25, Iss 2, Pp 353-360 (2015) |
| Druh dokumentu: |
article |
| ISSN: |
2083-8492 |
| DOI: |
10.1515/amcs-2015-0027 |
| Popis: |
In order to describe the interconnection among agents with multi-dimensional states, we generalize the notion of a graph Laplacian by extending the adjacency weights (or weighted interconnection coefficients) from scalars to matrices. More precisely, we use positive definite matrices to denote full multi-dimensional interconnections, while using nonnegative definite matrices to denote partial multi-dimensional interconnections. We prove that the generalized graph Laplacian inherits the spectral properties of the graph Laplacian. As an application, we use the generalized graph Laplacian to establish a distributed consensus algorithm for agents described by multi-dimensional integrators. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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