Paper Info
Title
Reaching L-P Consensus In A Network Of Multiagents With Stochastically Switching Topologies
Abstract
We study consensus in networks of multiagents with stochastically switching topologies, where the switching topologies are described as an adapted process, a rather general process including the independent and identically distributed (i.i.d.)process and the Markov process as special cases. First, motivated by some works done in the field of stochastic stability theory, we introduce a new concept of consensus, "L-p consensus" with p >= 1. Then sufficient conditions for a network with stochastically switching topologies to reach L-p consensus are derived for both discrete-time and continuous-time cases. In the discrete-time case, we show that the existence of a spanning tree in the conditional expectation of the union of the graphes of the network topologies across each T-length time interval for some T > 0 is sufficient for L-p consensus of the network. In the continuous-time case, we also give a similar sufficient condition involving the existence of a spanning tree. As direct consequences of the main results we also give some corollaries for two important stochastic processes: the i.i.d. process and homogenous Markov process. Moreover, we compare our results with the results existing in literatures.
Year
DOI
Venue
2009
10.1109/CDC.2009.5399996
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009)
DocType
ISSN
Citations 
Conference
0743-1546
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Bo Liu119811.13
Wenlian Lu237025.19
Tianping Chen33095250.77