Periodic Orbits of n-Dimensional Impulsive Switched Systems

被引：0

作者：

Pan, Shiyao ^{[1
]}

Wu, Ke ^{[2
]}

Wang, Guoshun ^{[3
]}

Li, Gang ^{[4
]}

机构：

[1] Wenzhou Univ Technol, Sch Data Sci & Artificial Intelligence, Wenzhou 325035, Zhejiang, Peoples R China

[2] Wenzhou Vocat Coll Sci & Technol, Network Informat Ctr, Wenzhou 325006, Peoples R China

[3] Hangzhou Normal Univ, Sch Math, Hangzhou 310036, Zhejiang, Peoples R China

[4] Shandong Univ Sci & Technol, Sch Math & Syst Sci, Qingdao 265590, Shandong, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2023年 / 43卷 / 3期

关键词：

Impulsive periodic orbit; Zhukovskii quasi-stability; Harvesting fishery model; The moving Poincare section; FISHERY MODEL; LIMIT-SETS;

D O I：

10.1007/s00034-023-02546-5

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, we generalize the index of impulsive periodic orbits defined in planar systems to n-dimensional impulsive switched systems. The moving Poincare section is applied, which extends the classical Poincare section and makes it possible to always preserve the transversal property at the corresponding time t with the help of reparametrization. Further, we combine it with the implicit function theorem and linear approximation to rewrite the original n-dimensional differential equation, which contributes to the definitions of indexes of impulsive periodic orbits of arbitrary finite order m. Based on these indexes, we further obtain sufficient conditions to judge the Zhukovskii quasi-stability, which permits a time lag and focuses on the study of approximate synchronization between orbits with the existence of impulsive switchings. At last, an example of harvesting fishery model with mutual impacts of infection and abrupt harvesting firstly is presented and some sufficient criteria based on model parameters are obtained to illustrate our results.

引用

页码：1414 / 1428

页数：15