计算机科学 ›› 2018, Vol. 45 ›› Issue (1): 228-232.doi: 10.11896/j.issn.1002-137X.2018.01.040
李甲地,李德权
LI Jia-di and LI De-quan
摘要： 研究了切换网络的多个体分布式次梯度优化算法。在有向切换网络是周期强连通的且对应的邻接矩阵是随机的而非双随机的条件下,利用非二次李雅普诺夫函数方法证明了所提多个体分布式次梯度优化算法的收敛性。最后,通过仿真实例验证了所提算法的有效性。
| [1] HONG Y G,ZHANG Y Q.Distributed optimization:algorithm design and convergence analysis[J].Control Theory and Appli -cations,2014,1(7):850-857.(in Chinese) 洪奕光,张艳琼.分布式优化:算法设计和收敛性分析[J].控制理论与应用,2014,31(7):850-857. [2] LI D Q,CHEN P.Distributed Random Projection Gradient-Free Optimization Algorithm for Multi-Agent Networks[J].Journal of Frontiers of Computer Science and Technology,2016(11):1564-1570.(in Chinese) 李德权,陈平.多个体网络分布式随机投影无梯度优化算法[J].计算机科学与探索,2016(11):1564-1570. [3] TSITSIKLIS J N,ATHANS M.Convergence and asymptoticagreement in distributed decision problems[J].IEEE Transactions on Automatic Control,1984,29(1):42-50. [4] TSITSIKLIS J N.Problems in decentralized decision making and computation[D].Cambridge:Massachusetts Institute of Technology,MA,1984. [5] LI D Q.On quantized and robust consensus for mult-agent systems with directed network topologies[D].Shanghai:Shanghai Jiao Tong University,2012.(in Chinese) 李德权.有向网络多个体系统的量化与鲁棒一致性研究[D].上海:上海交通大学,2012. [6] LIN P,REN W.Distributed Constrained Consensus in the Pre-sence of Unbalanced Switching Graphs and Communication Delays[C]∥51st IEEE Conference on Decision and Control.Maui,Hawaii,USA,2012:2238-2243. [7] NEDIC A,OZDAGLAR A.Distributed subgradient methods for Multi-Agent optimization [J].IEEE Transactions on Automatic Control,2009,54(1):48-61. [8] JOHANSSON B,KEVICZKY T,JOHANSSON M,et al.Sub- gradient methods and consensus algorithms for solving convex optimization problems[C]∥IEEE Conference on Decision and Control (CDC).2008. [9] NEDIC A,OZDAGLAR A,TSITSIKLIKS J N.DistributedSubgradient Methods and Quantization Effects[C]∥IEEE Conference on Decision and Control.2008:9-11. [10] LOBEL I,OZDAGLAR A.Distributed subgradient methods for convex optimization over random networks[J].IEEE Transactions on Automatic Control,2011,56(6):1291-1306. [11] YI P,HONG Y G.Quantized Subgradient Algorithm and Data-Rate Analysis for Distributed Optimization[J].IEEE Transactions on Control of Network Systems,2014,1(4):380-392. [12] SUNDARAM S,GHARESI B.Distributed Optimization Under Adversarial Nodes[J].arXiv:1606.08939vl,29,6,2016. [13] ZHU M H,MARTINEZ S.Discrete-time dynamic average consensus[J].Automatic,2010,6(2):322-329. |
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