论文标题
基于观察者的领导者遵循积极多代理系统的共识，而随着时间的变化图
Observer-based Leader-following Consensus for Positive Multi-agent Systems Over Time-varying Graphs
论文作者
论文摘要
本文解决了在随着时间变化的图表上离散的积极多代理系统的领导者遵循共识问题。我们假设追随者可能具有相互不同的积极动态，这也可能与领导者不同。与大多数现有的积极共识相比，由于阳性需求和高阶异质动力学之间的相互作用，配方的问题更为笼统和具有挑战性。为了解决该问题，我们为积极多代理系统提供了现有基于观察者的设计的扩展版。借助通用的二次Lyapunov功能技术，我们表明追随者将保持其状态变量在正矫正中，并最终达到领导者指定的输出共识。数值示例用于验证我们算法的功效。
This paper addresses the leader-following consensus problem for discrete-time positive multi-agent systems over time-varying graphs. We assume that the followers may have mutually different positive dynamics which can also be different from the leader. Compared with most existing positive consensus works for homogeneous multi-agent systems, the formulated problem is more general and challenging due to the interplay between the positivity requirement and high-order heterogeneous dynamics. To solve the problem, we present an extended version of existing observer-based design for positive multi-agent systems. By virtue of the common quadratic Lyapunov function technique, we show the followers will maintain their state variables in the positive orthant and finally achieve an output consensus specified by the leader. A numerical example is used to verify the efficacy of our algorithms.
