A new method of reachable sets estimation for the nonlinear switched singular system with impulsive performance and time-delay

Zhiguang Feng, Xinyue Zhang, Jason J.R. Liu and Zhengyi Jiang

Applied Mathematics and Computation, 2024, vol. 481, issue C

Abstract: This paper addresses the reachable set problem on nonlinear switched singular systems with impulsive performance and time-delay under bounded disturbance. The goal is to provide a real-time bounding set containing all reachable states. Originally, a real-time bounding criterion is developed by analyzing the variation of subinterval piecewise function and combining the definition of the average impulsive interval. Additionally, a lower bound on the Lyapunov function is provided by introducing an inequality scaling technique to avoid acquiring state bounds based on system decomposition techniques. Subsequently, the real-time bounding closed set, including all reachable states of the system, is estimated by calculating the Dini derivative of the Lyapunov function and using the real-time bounding criterion and the integral inequality technique. Finally, several numerical examples are given to illustrate the validity of the results obtained in this study.

Keywords: Reachable set; Real-time bounding; Switched singular systems; Time-delay; Impulsive performance (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/S0096300324003904
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:apmaco:v:481:y:2024:i:c:s0096300324003904

DOI: 10.1016/j.amc.2024.128929

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().