基于牵制触发控制动态网络的有限时间镇定

赵玮; 任凤丽

doi:10.21656/1000-0887.450072

基于牵制触发控制动态网络的有限时间镇定

doi: 10.21656/1000-0887.450072

赵玮,
任凤丽^,

南京航空航天大学数学学院，南京 211106

基金项目:

国家自然科学基金 61104031

详细信息

作者简介:
赵玮(1995—), 男, 硕士(E-mail: wzhao960@163.com)

通讯作者:
任凤丽(1978—), 女, 副教授, 博士(通讯作者. E-mail: flren@nuaa.edu.cn)

中图分类号: O357.41
计量
- 文章访问数: 70
- HTML全文浏览量: 25
- PDF下载量: 13
- 被引次数: 0
出版历程
- 收稿日期: 2024-03-22
- 修回日期: 2024-05-22
- 刊出日期: 2025-03-01

Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

ZHAO Wei,
REN Fengli^,

School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P.R.China

摘要

摘要: 该文研究了基于牵制触发控制动态网络的有限时间镇定. 不同于已有结果有限时间事件触发镇定, 考虑到控制成本和控制大规模节点数目的困难性, 提出了牵制自适应事件触发控制保证动态网络的有限时间镇定. 由于动态网络系统存在维数高的问题, 分析牵制事件触发有限时间镇定相当困难. 通过设计恰当的协议, 借助Lyapunov稳定性理论，得到了动态耦合网络有限时间镇定的充分性条件. 最后, 通过数值仿真验证了定理的有效性.
- 动态耦合网络 /
- 有限时间镇定 /
- 牵制控制 /
- 事件触发机制
Abstract: The finite time stabilization problem of dynamical directed networks under pinning adaptive event-triggered control was addressed. Unlike the existing results as for finite time stabilization with event-triggered protocol, in view of the difficulties of the control cost and the large node number, a novel pinning event-triggered protocol was designed. Given its high dimension, the analysis of the finite time stabilization under the pinning event-triggered control for dynamical networks is challenging. Based on the Lyapunov stability theory and the appropriately designed protocol, sufficient conditions were derived to guarantee the finite time stabilization. Finally, an example was given to demonstrate the effectiveness of the theoretical results.
- dynamical coupled network /
- finite time stabilization /
- pinning control /
- event-triggered scheme

HTML全文

图 1 混沌吸引子和耦合网络在牵制触发控制(6)的状态变量(2)

Figure 1. The chaotic attractor and the state trajectory (2) under pinning triggered control (6)

下载: 全尺寸图片幻灯片

图 2 受牵制节点的自适应反馈强度和触发次数

Figure 2. The adaptive feedback strength and the numbers of triggering times of pinned nodes

下载: 全尺寸图片幻灯片

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