- Tytuł:
- A generalization of the graph Laplacian with application to a distributed consensus algorithm
- Autorzy:
- Zhai, G.
- Powiązania:
- https://bibliotekanauki.pl/articles/331278.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
graph Laplacian
generalized graph Laplacian
adjacency weights
distributed consensus algorithm
cooperative control - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2015, 25, 2; 353-360
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł