Stability of delayed switched systems involving impulses: State-dependent switching control approach

Yufei Wang, Ying Xing and Xiaodi Li

Chaos, Solitons & Fractals, 2025, vol. 194, issue C

Abstract: This paper mainly considers the exponential stability problem for delayed switched systems involving impulses via state-dependent switching (SDS) approach, where both stabilizing and destabilizing impulses are considered. Different from traditional SDS method in the framework of continuous state space, we propose an SDS law depending on time delays under impulse environment. Based on the designed SDS strategy, some sufficient conditions are provided to guarantee the global exponential stability (GES) of the system. It shows that in the coexistence environment of impulses and time delays, the stability of the system can still be achieved via the SDS law even if all the modes are unstable. Finally, we present two simulation examples to illustrate the feasibility and validity of our main results.

Keywords: State-dependent switching; Exponential stability; Impulse effect; Time delay; Razumikhin technique (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925002498
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:194:y:2025:i:c:s0960077925002498

DOI: 10.1016/j.chaos.2025.116236

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. ().