Reaching Lp Consensus in A Network of Multiagents with Stochastically Switching Topologies

【作者】 刘波；

【Author】 Bo Liu,Wenlian Lu and Tianping Chen Department of Mathematics,Fudan University

【机构】 Department of Mathematics,Fudan University；

【摘要】 We study the consensus problem in network of multiagents with stochastically switching topology.The network topology switching process is a general stochastic process,which we describe as an adapted stochastic process.This rather general process includes independent and identically distributed(i.i.d.) process and Markov process as special cases.First,motivated by some work done in the field of stochastic stability theory,we introduce a new concept of consensus,"Lp consensus" with p ≥ 1.Then the sufficient conditions for a network with stochastic switching topologies to reach such Lp consensus are derived under both discrete-time and continuoustime cases.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 Lp consensus of the network.As comparison with the previous results,we also give out corollaries of our main results under two important stochastic processes:the i.i.d.process and homogenous Markov process.更多还原

【Abstract】 We study the consensus problem in network of multiagents with stochastically switching topology.The network topology switching process is a general stochastic process,which we describe as an adapted stochastic process.This rather general process includes independent and identically distributed(i.i.d.) process and Markov process as special cases.First,motivated by some work done in the field of stochastic stability theory,we introduce a new concept of consensus,"Lp consensus" with p ≥ 1.Then the sufficient conditions for a network with stochastic switching topologies to reach such Lp consensus are derived under both discrete-time and continuoustime cases.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 Lp consensus of the network.As comparison with the previous results,we also give out corollaries of our main results under two important stochastic processes:the i.i.d.process and homogenous Markov process.更多还原