On asymptotic properties of continuous-time stochastic approximation type consensus protocols

被引:0
作者
Tang, Huaibin [1 ]
Li, Tao [2 ]
机构
[1] Shandong Univ, Sch Informat Sci & Engn, Jinan 250100, Peoples R China
[2] Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200072, Peoples R China
来源
2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年
关键词
MULTIAGENT SYSTEMS; SUFFICIENT CONDITIONS; COMMUNICATION NOISES; COORDINATION; AGENTS; ALGORITHMS; TOPOLOGIES; SEEKING; DELAYS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
For the multi-agent consensus with stochastic communication noises, the stochastic approximation type protocol is an effective method. In this paper, we will analyze the asymptotic properties of continuous-time stochastic approximation type consensus protocols in both mean square and probability one. We clarify the relationship between the convergence rate of the consensus error and a representative class of consensus gains. Different from the previous literature in which stochastic Lyapunov functions and the supermartingale convergence theorem were used, basic results of stochastic analysis and algebraic graph theory are used in this paper. By the law of the iterated logarithm of stochastic integrals, more precise estimates of the convergence rate are given.
引用
收藏
页码:2210 / 2215
页数:6
相关论文
共 50 条
[41]   Resilient Continuous-Time Consensus in Fractional Robust Networks [J].
LeBlanc, Heath J. ;
Zhang, Haotian ;
Sundaram, Shreyas ;
Koutsoukos, Xenofon .
2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, :1237-1242
[42]   Transient Reward Approximation for Continuous-Time Markov Chains [J].
Hahn, Ernst Moritz ;
Hermanns, Holger ;
Wimmer, Ralf ;
Becker, Bernd .
IEEE TRANSACTIONS ON RELIABILITY, 2015, 64 (04) :1254-1275
[43]   Consensus of High-Order Nonlinear Continuous-Time Systems With Uncertainty and Limited Communication Data Rate [J].
Dong, Wenjie .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (05) :2100-2107
[44]   Unbiased Kalman Filters for Consensus of Continuous-Time Sensor Networks with Switching Topology [J].
Li, Zonggang ;
Gao, Pu ;
Yang, Xinzhu ;
Li, Zhongxue .
ISIE: 2009 IEEE INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS, 2009, :671-675
[45]   Continuous-Time Group Consensus Using Distributed Event-Triggered Control [J].
Ma, Hongwen ;
Wang, Ding ;
Liu, Derong ;
Li, Chao .
2015 SEVENTH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTATIONAL INTELLIGENCE (ICACI), 2015, :174-178
[46]   Containment control for distributed networks subject to multiplicative and additive noises with stochastic approximation-type protocols [J].
Du, Yingxue ;
Wang, Yijing ;
Zuo, Zhiqiang ;
Zhang, Wentao .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (02) :665-684
[47]   Consensus design for continuous-time multi-agent systems with communication delay [J].
Wang Zhenhua ;
You Keyou ;
Xu Juanjuan ;
Zhang Huanshui .
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 27 (04) :701-711
[48]   Bayesian Estimation for Continuous-Time Sparse Stochastic Processes [J].
Amini, Arash ;
Kamilov, Ulugbek S. ;
Bostan, Emrah ;
Unser, Michael .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2013, 61 (04) :907-920
[49]   Continuous-Time Opinion Dynamics With Stochastic Multiplicative Noises [J].
Liang, Haili ;
Su, Housheng ;
Wang, Ying ;
Peng, Chen ;
Fei, Minrui ;
Wang, Xiaofan .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2019, 66 (06) :988-992
[50]   On the Boundary Value of the Time-Delay and the Asymptotic Behavior of a Continuous First-Order Consensus Protocol [J].
Agaev, R. P. ;
Khomutov, D. K. .
AUTOMATION AND REMOTE CONTROL, 2024, 85 (06) :533-542