Finite-time tracking consensus in probability for multi-agent system with noises and time delay

Mingyan Tuo, Fenglan Sun, Feng Wang, Hao Li
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Abstract

This paper studies the finite-time tracking consensus in probability of multi-agent systems with noises and time delay. By using the method of pinning control and observer, the system both with and without the leader as the root of a spanning tree is considered. According to algebraic graph theory, stochastic Lyapunov stability theory and control theory, sufficient conditions for the tracking consensus are given. Numerical simulations are given to verify the effectiveness of the main results.
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具有噪声和时滞的多智能体系统的有限时间跟踪一致性
研究了具有噪声和时滞的多智能体系统的有限时间跟踪一致性问题。采用钉住控制和观测器的方法,考虑了有和没有领导者作为生成树根的系统。根据代数图论、随机Lyapunov稳定性理论和控制理论,给出了跟踪一致性的充分条件。通过数值仿真验证了主要结果的有效性。
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