文献类型：期刊文献

英文题名：Saturated delayed impulsive effects for fractional order nonlinear system with piecewise Caputo derivative and its application

作者：Wang, Fei[1];Zhang, Chuan[1];Li, Ning[2]

第一作者：Wang, Fei

通讯作者：Wang, F[1]

机构：[1]Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China;[2]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China

第一机构：Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

通讯机构：[1]corresponding author), Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China.

年份：2023

卷号：126

外文期刊名：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录：;EI(收录号：20233614696330);Scopus(收录号：2-s2.0-85169923383);WOS:【SCI-EXPANDED(收录号:WOS:001051973000001)】；

基金：Funding This research is supported by the Shandong Provincial Natural Science Foundation (No: ZR2022QF075) , the China Postdoctoral Science Foundation (No: 2020M672024) , the National Natural Science Foundation of China (Nos: 62073122, 61973183, 62003189) , the Youth Creative Team Sci-Tech Program of Shandong Universities (No: 2019KJI007) , the Key Program of Higher Education of Henan Province (No: 21A120001) , the Science & Technology Innovation Talents in Universities of Henan Province (No: 20HASTIT024) , the Outstanding Youth Science Foundation Project of Henan Province (No: 222300420022) .

语种：英文

外文关键词：Saturated impulses; Fractional order; Short memory; Delayed impulses; Complex dynamical networks

摘要：Fractional order nonlinear systems with saturated delayed impulses and short-term memory is investigated in this paper. Models in this paper are described by piecewise Caputo derivative. First, sufficient conditions for local exponential stability are derived based on the fractional order Lyapunov function method and saturated control theory. Then, the optimization model to estimate the domain of attraction is built, which is constrained by some LMIs. Third, the application of synchronization for fractional order complex dynamical networks via distributed saturated delayed impulsive control is studied. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.& COPY; 2023 Elsevier B.V. All rights reserved.