Exponential stability and non-weighted L2-gain analysis for switched neutral systems with unstable subsystems

Jiamei Xing, Baowei Wu, Yue-E Wang and Lili Liu

International Journal of Systems Science, 2025, vol. 56, issue 4, 673-689

Abstract: Exponential stability and non-weighted $ L_2 $ L2-gain are studied for switched neutral systems with unstable subsystems. Initially, a time scheduling strategy is introduced to formulate switching-signal-based multiple discontinuous Lyapunov functions. Multiple discontinuous Lyapunov functions can be applied to each subsystem, thereby relaxing the limitations of traditional Lyapunov functions. Meanwhile, mode-dependent average dwell times are utilised to design fast and slow switching signals, ensuring stability in switched neutral systems where the switching between unstable and stable subsystems is arbitrary. Moreover, in the presence of external disturbances, the non-weighted $ L_2 $ L2-gain performance is discussed. Sufficient conditions are proposed to achieve the stability of switched neutral systems and non-weighted $ L_2 $ L2-gain performance using the linear matrix inequality method. The validity of this study is ultimately demonstrated through simulation examples.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2024.2409847 (text/html)
Access to full text is restricted to subscribers.

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:taf:tsysxx:v:56:y:2025:i:4:p:673-689

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2024.2409847

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().