TY - GEN
T1 - Sufficient conditions on distributed averaging with compound noises and fixed topologies
AU - Wang, Jiexiang
AU - Li, Tao
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/3
Y1 - 2016/8/3
N2 - In this paper, the distributed average consensus of discrete-time multi-agent networks is studied with compound noises and fixed topologies. Each agent updates its state through communication with neighbour agents. The communication model contains both additive and multiplicative noises. To attenuate the additive noises, the time-varying algorithm gain is introduced. By the algebraic graph theory, matrix theory and martingale convergence theory, we get the sufficient conditions for all agents' states converging to a common random variable in mean square and almost surely, whose expectation is right the average of the initial values of all agents, and whose variance is bounded by a quantity related to the maximal weight and in-degree, the time-varying algorithm gain, the number of agents, the agents' initial values, the second-order moment and the intensity coefficients of the noises.
AB - In this paper, the distributed average consensus of discrete-time multi-agent networks is studied with compound noises and fixed topologies. Each agent updates its state through communication with neighbour agents. The communication model contains both additive and multiplicative noises. To attenuate the additive noises, the time-varying algorithm gain is introduced. By the algebraic graph theory, matrix theory and martingale convergence theory, we get the sufficient conditions for all agents' states converging to a common random variable in mean square and almost surely, whose expectation is right the average of the initial values of all agents, and whose variance is bounded by a quantity related to the maximal weight and in-degree, the time-varying algorithm gain, the number of agents, the agents' initial values, the second-order moment and the intensity coefficients of the noises.
KW - Compound noise
KW - Distributed average consensus
KW - Fixed topology
KW - Multi-agent system
UR - https://www.scopus.com/pages/publications/84983750338
U2 - 10.1109/CCDC.2016.7531099
DO - 10.1109/CCDC.2016.7531099
M3 - 会议稿件
AN - SCOPUS:84983750338
T3 - Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016
SP - 832
EP - 837
BT - Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 28th Chinese Control and Decision Conference, CCDC 2016
Y2 - 28 May 2016 through 30 May 2016
ER -