This article brings a distributed adaptive protocol for consensus and synchronization in multiagent systems on directed communication networks. Agents are modeled as general linear time‐invariant systems. The proposed protocol introduces a novel adaptation scheme allowing control coupling gains to decay to their reference values. This approach improves upon existing adaptive consensus protocols which may result in overly large or even unbounded coupling gains. The protocol design in this article does not rely on any centralized information; hence it is distributed. Nevertheless, the price to pay for this is the need to estimate those reference values. Convergence of the overall network dynamics is guaranteed for correctly estimated references; otherwise, the trajectory of the system is only uniformly ultimately bounded. Two estimation algorithms are proposed: one based on the interval‐halving method and the other based on a distributed estimation of Laplacian eigenvalues. Numerical simulations validate the proposed approach.

中文翻译：

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具有衰减增益的分布式自适应共识协议

本文提出了一种分布式自适应协议，用于定向通信网络上多代理系统中的共识和同步。代理被建模为一般的线性时不变系统。所提出的协议引入了一种新颖的自适应方案，该方案允许控制耦合增益衰减到其参考值。这种方法对现有的自适应共识协议进行了改进，该协议可能会导致过大或什至无限的耦合增益。本文中的协议设计不依赖任何集中信息；因此它是分布式的。然而，为此付出的代价是需要估计那些参考值。对于正确估计的参考，可以保证整个网络动力学的收敛。否则，系统的轨迹只能统一地最终定界。提出了两种估计算法：一种基于间隔减半法，另一种基于拉普拉斯特征值的分布式估计。数值模拟验证了该方法的有效性。