Exponentially weighted input-to-state stability of stochastic differential systems via event-triggered impulsive control

Mingli Xia, Linna Liu, Jianyin Fang and Boyang Qu

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

Abstract: This paper investigates the stabilization of stochastic differential systems with exogenous disturbance inputs by employing an event-triggered impulsive control (ETIC) strategy. Firstly, an event-triggered mechanism (ETM) is put forward consisting of an exponentially decreasing function and exogenous disturbance terms. Moreover, through the incorporation of a state-dependent waiting time, Zeno phenomenon in the system can be completely avoided. Then sufficient conditions for exponentially weighted input-to-state stability (eλt-ISS) of systems can be obtained based on Lyapunov function method and Itô’s formula under some reasonable criteria. Specifically, theoretical results establish a relationship between waiting time and trigger parameters. By altering the value of trigger parameters, it becomes feasible to adjust event-triggered time and control the frequency of activated impulses accordingly. In the end, two numerical examples are given to demonstrate the feasibility of devised ETIC strategy.

Keywords: Stochastic differential systems; Event-triggered impulsive control; Zeno behavior; Exponentially weighted input-to-state stability (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924003886
Full text for ScienceDirect subscribers only

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:eee:chsofr:v:182:y:2024:i:c:s0960077924003886

DOI: 10.1016/j.chaos.2024.114836

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().