TY - GEN

T1 - A notion of generalized graph Laplacian and its application to distributed consensus algorithm

AU - Zhai, Guisheng

PY - 2011/10/12

Y1 - 2011/10/12

N2 - In order to describe the interconnection among agents with multi-dimensional states, we generalize the notion of graph Laplacian by extending the adjacency weights from positive scalars to positive definite matrices. We prove that the generalized graph Laplacian inherits the spectral properties of the graph Laplacian. As an application example, we use the generalized graph Laplacian to establish a distributed consensus algorithm for agents described by multi-dimensional integrators.

AB - In order to describe the interconnection among agents with multi-dimensional states, we generalize the notion of graph Laplacian by extending the adjacency weights from positive scalars to positive definite matrices. We prove that the generalized graph Laplacian inherits the spectral properties of the graph Laplacian. As an application example, we use the generalized graph Laplacian to establish a distributed consensus algorithm for agents described by multi-dimensional integrators.

KW - adjacency weights

KW - cooperative control

KW - distributed consensus algorithm

KW - generalized graph Laplacian

KW - graph Laplacian

UR - http://www.scopus.com/inward/record.url?scp=80053604720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053604720&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:80053604720

SN - 9780955529375

T3 - 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program

SP - 529

EP - 533

BT - 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program

T2 - 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011

Y2 - 11 August 2011 through 13 August 2011

ER -