文献类型：期刊文献

中文题名：具有未知参数混沌系统的有限时间和固定时间混合函数投影同步

英文题名：Finite-time and fixed-time hybrid function projection synchronization of chaotic systems with unknown parameters

作者：李德奎[1]

第一作者：李德奎

机构：[1]甘肃中医药大学(定西校区)理科教学部,甘肃定西743000

第一机构：甘肃中医药大学定西校区

年份：2023

卷号：59

期号：4

起止页码：512

中文期刊名：兰州大学学报（自然科学版）

外文期刊名：Journal of Lanzhou University(Natural Sciences)

收录：CSTPCD;;Scopus;北大核心:【北大核心2020】；CSCD:【CSCD2023_2024】；

基金：Supported by the National Natural Science Foundation of China(11161027);Natural Science Foundation of Gansu Province(21JR1RA259,20JR10RA329);Foundation of Gansu Education Bureau(2020A-191)。

语种：中文

中文关键词：有限时间同步;固定时间同步;混合函数投影同步;参数辨识;同步时间

外文关键词：finite-time synchronization;fixed-time synchronization;hybrid function projection synchronization;parameter identification;synchronization time

摘要：研究具有未知参数混沌系统的有限时间和固定时间混合函数投影同步.基于Lyapunov稳定性定理和同步控制策略,在有限时间同步和固定时间同步条件下,构造两种自适应控制器,分别实现驱动系统和响应系统的混合函数投影同步.分别估计两种情况下的同步时间上界,发现有限时间同步的同步时间依赖于系统初值,固定时间同步的同步时间不依赖于系统的初值.利用构造的参数辨识法则,准确辨识驱动系统和响应系统的所有未知参数.给出两个数值例子,说明结论的正确性和有效性.
Finite-time and fixed-time hybrid function projection synchronization of chaotic systems with unknown parameters were studied in this paper.Based on the Lyapunov stability theorem and synchronization control strategy,two adaptive controllers were constructed to realize a hybrid function projection synchronization of the drive system and response one under the finite-time and fixed-time condition,respectively.The upper bounds of the synchronization time were estimated in the two situations,respectively,and we found that the synchronization time of finite-time synchronization depended on the initial value,but the synchronization time of the fixed-time synchronization was independent of the initial value.All the unknown parameters of the drive system and response system were identified by using the constructed parameter identification laws.Two numerical examples were presented to illustrate the correctness and effectiveness of the results.