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 -