Title
On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions.
Abstract
This paper is devoted to the leader–follower consensus problem for high-order multi-agent systems with inherent nonlinear dynamics evolving on an arbitrary time domain. This problem is investigated using the time scale theory. Based on this theory, some sufficient conditions are derived to guarantee that the tracking errors exponentially converge to zero using the concept of matrix-valued Lyapunov functions when directed interaction topology is considered. An academic example is given to illustrate the pertinence and the feasibility of the theoretical results.
Year
DOI
Venue
2018
10.1016/j.automatica.2018.08.003
Automatica
Keywords
Field
DocType
Time scales,Consensus tracking,Matrix-valued Lyapunov function,Multi-agent systems,Directed graph
Time domain,Consensus,Lyapunov function,Applied mathematics,Nonlinear system,Matrix (mathematics),Control theory,Multi-agent system,Mathematics,Exponential growth
Journal
Volume
Issue
ISSN
97
1
0005-1098
Citations 
PageRank 
References 
1
0.35
16
Authors
4
Name
Order
Citations
PageRank
Serhii Babenko110.35
Michael Defoort243333.97
M. Djemaϊ36916.61
Serge Nicaise419335.30