论文标题
多种系统的时变和非线性扩展的共识：一种通用的吸引法律方法
Time-Varying and Nonlinearly Scaled Consensus of Multiagent Systems: A Generic Attracting Law Approach
论文作者
论文摘要
本文介绍了多种系统的有限/固定时间缩放共识的设计和分析。一项关于一项通用吸引法律的研究，即以有限/固定时间收敛的吸引者的某些类别的非线性系统，首先是出于共识目的而给予的。通过两阶段分析提供了沉降时间函数上下限和上限的估计值。给定的估计值是初始状态依赖性的，但是持续时间是有限的，而没有初始状态所采用的值。根据通用的吸引法律，提出了分布式协议，该协议分别针对具有无方向性和细节均衡的有向图的多种系统，其中采用了比例策略，包括时变和非线性尺度。结果表明，即使在代理之间都采用了时间变化和非线性尺度，仍可以实现对多基因系统的有限/固定时间共识。给出了两个说明性示例的数值模拟，以验证提出的有限持续共识方案的有效性。
This paper presents the design and analysis of the finite/fixed-time scaled consensus for multiagent systems. A study on a generic attracting law, the certain classes of nonlinear systems that admit attractors with finite/fixed-time convergence, is at first given for the consensus purpose. The estimates for the lower and upper bounds on the settling time functions are provided through the two-phase analysis. The given estimates are initial state dependent, but the durations are finite, without regarding the values that the initial states take. According to the generic attracting law, distributed protocols are proposed for multiagent systems with undirected and detail-balanced directed graphs, respectively, where the scaled strategies, including time-varying and nonlinear scales, are adopted. It is shown that the finite/fixed-time consensus for the multiagent system undertaken can still be achieved, even though both time-varying and nonlinear scales are taken among agents. Numerical simulation of two illustrative examples are given to verify effectiveness of the proposed finite-duration consensus protocols.
