Title :
Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays
Author :
Liu, Xiwei ; Lu, Wenlian ; Chen, Tianping
Author_Institution :
Dept. of Comput. Sci. & Technol., Tongji Univ., Shanghai, China
Abstract :
In this note, the consensus problem with infinite time-varying delays for linearly coupled static network is investigated. The delay affects only the off-diagonal terms in continuous-time equations. At first, we define an effective consensus ability index. Then, by using the graph theory and a new concept of consensus, we prove that under some mild conditions, the network can realize consensus. An example is given to show the validity of obtained results.
Keywords :
continuous time systems; delays; graph theory; multi-agent systems; time-varying systems; consensus ability index; continuous-time equation; graph theory; linearly coupled static network; multiagent system; off-diagonal term; unbounded time-varying delay; Biological control systems; Biology; Control engineering; Delay lines; Graph theory; History; Laplace equations; Multiagent systems; Physics; Time varying systems; Consensus; delay; graph Laplacian; unbounded;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2054770
