时标上多智能体系统的动力学分析

发布时间：2018-02-27 21:13

本文关键词： 时标多智能体系统分布时滞稳定性一致性　出处：《集美大学》2016年硕士论文　论文类型：学位论文

【摘要】：近年来,随着多智能体系统的迅速发展,合作协调控制成为控制领域研究的一个热点.有限时间集群稳定性和一致性问题作为智能体系统合作协调控制的基础,越来越受到各个领域学者们的关注.时标上微积分理论统一了微分动力系统连续和离散的情形,不仅对研究复杂微分系统的动力学提供重要工具,而且对研究时标上多智能体系统有着重要的理论意义与应用.本文分析了时标上具有有限分布时滞的多智能体系统集群行为和一致性问题.主要内容和研究成果包含三个方面:(1)讨论了 hZ时标上具有有限分布时滞的集群行为.基于Lyapunov稳定性方法和时标上的微积分理论,研究了多智能体的有限时间集群稳定性.(2)研究了时标上具有有限分布时滞的集群行为.运用时标上的积分中值定理和Lyapunov稳定性方法,获得了多智能体的有限时间集群稳定性.(3)研究了时标上具有分布时滞的一致性问题.利用Lyapunov稳定性方法以及线性矩阵不等式工具,获得了该多智能体系统达成全局指数型一致性的新标准.
[Abstract]:In recent years, with the rapid development of multi-agent system, cooperative coordinated control has become a hot topic in the field of control. The stability and consistency of finite time cluster is the basis of cooperative coordinated control of agent system. The calculus theory on time scale unifies the continuous and discrete case of differential dynamical system, which not only provides an important tool for studying the dynamics of complex differential system, but also provides an important tool for studying the dynamics of complex differential system. Moreover, it has important theoretical significance and application to study multi-agent system on time scale. In this paper, the cluster behavior and consistency of multi-agent system with finite distributed time delay on time scale are analyzed. The main contents and research results are also given. In this paper, the cluster behavior with finite distributed time delay on the hZ scale is discussed. Based on the Lyapunov stability method and the calculus theory on the time-scale, In this paper, the finite time cluster stability of multi-agent is studied. (2) the cluster behavior with finite distributed time delay on time scale is studied. The integral mean value theorem on time scale and Lyapunov stability method are used. The finite time cluster stability of multi-agent is obtained. The consistency problem with distributed time delay on time scale is studied. The Lyapunov stability method and the linear matrix inequality (LMI) method are used to solve the problem. A new standard for global exponential consistency of the multi-agent system is obtained.
【学位授予单位】：集美大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TP18

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