Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises
Stochastic Consentability of Linear Systems With Time Delays and Multiplicative Noises
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DOI：
10.1109/tac.2017.2732823
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发表时间：
2018-04
影响因子：
6.8
通讯作者：
Xiaofeng Zong;Tao Li;G. Yin;L. Wang;Ji-feng Zhang
中科院分区：
文献类型：
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作者：
Xiaofeng Zong;Tao Li;G. Yin;L. Wang;Ji-feng Zhang
研究了具有时滞和乘性噪声的线性多智能体系统的随机一致性问题。首先，研究了乘性噪声驱动下的随机微分时滞方程的随机稳定性，建立了一类广义代数Riccati方程正定解的存在性。然后，基于所建立的随机稳定性和GAREs，推导出均方性和几乎确定的一致性和稳定性的充分条件。共识协议是为具有无向和领导者跟随拓扑的线性多智能体系统设计的。结果表明，多智能体的一致性依赖于系统的一些特征参数，包括线性系统动力学、通信图、信道不确定性和确定性项的时延。证明了二阶积分器多智能体系统对于任何给定的噪声强度和时滞都是无条件均方且几乎肯定一致的，并且根据一定的显式条件仔细选择控制增益可以达到均方且几乎肯定一致。
This paper develops stochastic consentability of linear multiagent systems with time delays and multiplicative noises. First, the stochastic stability for stochastic differential delay equations driven by multiplicative noises is examined, and the existence of the positive definite solution for a class of generalized algebraic Riccati equations (GAREs) is established. Then, sufficient conditions are deduced for the mean square and almost sure consentability and stabilization based on the developed stochastic stability and GAREs. Consensus protocols are designed for linear multiagent systems with undirected and leader-following topologies. It is revealed that multiagent consentability depends on certain characterizing system parameters, including linear system dynamics, communication graph, channel uncertainties, and time delay of the deterministic term. It is shown that a second-order integrator multiagent system is unconditionally mean square and almost surely consentable for any given noise intensities and time delay, and that the mean square and almost sure consensus can be achieved by carefully choosing the control gain according to certain explicit conditions.