In this paper, the consensus problem is investigated for discrete-time multi-agent systems with additive process noises. Due to the presence of additive noises in the system dynamics, consensus cannot be achieved. The main contribution of this paper is to give the exact consensus error. In particular, control gain depending on the agent dynamics and network topology is designed based on the technique dealing with the simultaneous stabilization. Finally, a numerical simulation is provided to demonstrate the effectiveness of the proposed theoretical results.

中文翻译：

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具有加性噪声的多主体系统的精确共识误差

在本文中，研究了具有加性过程噪声的离散多主体系统的共识问题。由于系统动力学中存在附加噪声，因此无法达成共识。本文的主要贡献是给出确切的共识误差。特别地，基于处理同时稳定的技术来设计取决于代理动态和网络拓扑的控制增益。最后，提供了一个数值模拟来证明所提出的理论结果的有效性。