Paper Info
Title
Properties of Composite Laplacian Quadratics and Their Applications in Consensus of Linear Differential Inclusions.
Abstract
This technical note introduces a non-quadratic function that is defined in terms of multiple Laplacian quadratics, called the function of composite Laplacian quadratics. The function is mainly used for control synthesis and analysis of multi-agent systems. Some important properties of the function are studied. In particular, the one-level-set dissipation property is established, and the gradient of the function is derived. The function is further applied to solve the consensus problem of linear differential inclusions (LDIs). Finally, a numerical example is given to verify the validity of the derived results.
Year
DOI
Venue
2016
10.1109/TAC.2015.2491739
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Laplace equations,Multi-agent systems,Lyapunov methods,Eigenvalues and eigenfunctions,Topology,Stability analysis,Symmetric matrices
Consensus,Differential inclusion,Mathematical optimization,Technical note,Mathematical analysis,Control theory,Dissipation,Composite number,Symmetric matrix,Multi-agent system,Mathematics,Laplace operator
Journal
Volume
Issue
ISSN
61
8
0018-9286
Citations 
PageRank 
References 
3
0.38
9
Authors
3
Name
Order
Citations
PageRank
Fei Chen124119.47
LinYing Xiang2879.77
Wei Ren 000131166.41