Consensus of discrete-time multi-agent systems with transmission nonlinearity
Consensus of discrete-time multi-agent systems with transmission nonlinearity
复制标题
具有传输非线性的离散时间多智能体系统的共识
DOI：
10.1016/j.automatica.2013.02.021
复制
发表时间：
2013-06-01
期刊：
影响因子：
6.4
通讯作者：
Lin, Zongli
中科院分区：
文献类型：
--
作者：
Chen, Yao;Lu, Jinhu;Lin, Zongli
多智能体系统（MAS）由多个智能体组成，每个智能体都受到一个局部规则的影响，该规则代表了它与其他智能体的交互。最近的研究离散时间MAS集中在本地规则是线性的，不处理代理之间的信息交换的通信约束。然而，在真实的世界中，代理之间的局部交互更可能由非线性规则支配，并且存在时变延迟。研究了一类具有传输非线性和时变时滞的离散MAS系统的一致性问题。特别是，基于一个有代表性的一般非线性模型，我们得到了几个基本的标准的一致性的MAS。这些结果涵盖了几个现有的结果作为其特殊情况。此外，我们考虑的模型不满足凸性假设，这通常被视为离散时间MAS的共识的重要条件。我们对非线性传递函数所做的假设是必要的，因为如果不满足这些假设，就可以构造一个不保证一致性的连通拓扑。(C)2013爱思唯尔有限公司保留所有权利。
A multi-agent system (MAS) consists of multiple agents, each under the influence of a local rule that represents its interaction with other agents. Most recent research on discrete-time MASs concentrates on local rules that are linear and does not deal with communication constraints on the information exchange among agents. However, local interactions between agents in the real world are more likely governed by nonlinear rules and are in the presence of time-varying delays. This paper aims to investigate the consensus of a discrete-time MAS with transmission nonlinearity and time-varying delays. In particular, based on a representative general nonlinear model, we obtain several basic criteria for the consensus of the MAS. These results cover several existing results as their special cases. Moreover, the model we consider does not satisfy the convexity assumption which was commonly taken as an important condition for the consensus of discrete-time MASs. The assumptions we make on the nonlinear transmission function are necessary in the sense that, if they are not satisfied, a connected topology can be constructed that does not guarantee consensus. (C) 2013 Elsevier Ltd. All rights reserved.