Distributed delay control of multi-agent systems with nonlinear dynamics: Stochastic disturbance
Distributed delay control of multi-agent systems with nonlinear dynamics: Stochastic disturbance
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DOI：
10.1016/j.neucom.2014.11.007
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发表时间：
2015-03
期刊：
影响因子：
6
通讯作者：
Jia Liu;Liuxiao Guo;Manfeng Hu;Yongqing Yang
中科院分区：
文献类型：
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作者：
Jia Liu;Liuxiao Guo;Manfeng Hu;Yongqing Yang
对于多智能体系统，由于环境的不确定性，固有的非线性和随机噪声显著增加了动力学行为的复杂性。研究了具有内在非线性动力学的多智能体系统的均方有界一致性问题，其中每个智能体都受到随机噪声的影响。考虑到以前非线性代理行为的影响，我们提出了一种新型的积分分布延迟协议，该协议由所有时间间隔[t−τ，t]上历史信息交换的加权和构成。与前人的工作相比，本文的协议表达更具一般性，并且包含了许多传统协议作为其特例。基于Lyapunov方法，结合矩阵理论和代数图论的结果，得到了均方有界共识的充分条件。用非线性均匀混沌智能体的仿真实例验证了理论结果。
For multi-agent systems, significantly adding to the complexity of dynamical behaviors are intrinsic nonlinearity and stochastic noises due to environmental uncertainties. This paper deals with the mean square bounded consensus problem of multi-agent systems with intrinsic nonlinear dynamics, where each agent is affected by stochastic noises. Considering the impact of the former behaviors of nonlinear agents, we put forward a novel type of integral distributed delay protocol which is formed as a weighted sum of historical information exchange over all time interval [t− τ, t]. Compared with the previous work, the protocol expression of this paper is more general and includes many traditional protocols as its special cases. Based on a Lyapunov-based approach, together with results from matrix theory and algebraic graph theory, sufficient conditions are derived for the mean square bounded consensus. Simulation examples with nonlinear even chaotic agents illustrate the theoretical results.