测量噪声下具有时变领导者的领导者一致跟随问题
Leader-following Consensus Problems with a Time-varying Leader under Measurement Noises
摘要：
在本文中，我们考虑了一个连续时间的积分代理网络的领导者以下的一致性问题与一个时变的领导下的测量噪声。我们提出了一个基于邻居的状态估计协议，每个代理跟踪领导者，和时变的共识增益被引入到衰减的噪声。通过结合随机分析和代数图论的工具，我们研究了这个多智能体系统的均方收敛定向固定以及切换互连拓扑结构。在这两种情况下，均方共识的充分条件。最后，通过一个数值例子来说明我们的理论结果.
英文摘要：
In this paper, we consider a leader-following consensus problem for networks of continuous-time integrator agents with a time-varying leader under measurement noises. We propose a neighbor-based state-estimation protocol for every agent to track the leader, and time-varying consensus gains are introduced to attenuate the noises. By combining the tools of stochastic analysis and algebraic graph theory, we study mean square convergence of this multi-agent system under directed fixed as well as switching interconnection topologies. Sufficient conditions are given for mean square consensus in both cases. Finally, a numerical example is given to illustrate our theoretical results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
