Stability of Differential Systems with Impulsive Effects

Chunxiang Li, Fangshu Hui and Fangfei Li ()
Additional contact information
Chunxiang Li: Department of Mathematics and Physics, Faculty of Military Medical Services, Naval Medical University, Shanghai 200433, China
Fangshu Hui: Department of Mathematics and Physics, Faculty of Military Medical Services, Naval Medical University, Shanghai 200433, China
Fangfei Li: School of Mathematics, East China University of Science and Technology, Shanghai 200237, China

Mathematics, 2023, vol. 11, issue 20, 1-23

Abstract: In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered. These systems include impulsive differential systems, stochastic impulsive differential systems and differential systems with several specific impulses (non-instantaneous impulses, delayed impulses, impulses suffered by logic choice and impulse time windows). The stability issues as well as the applications in neural networks are discussed in detail.

Keywords: stability; differential systems; impulsive effects; stochastic systems; delay; neural networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/20/4382/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/20/4382/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:20:p:4382-:d:1264617

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().