Exponential stability for discrete-time impulsive positive singular system with time delays

Abstract

This paper investigates the impulsive stability analysis issues of discrete-time positive singular systems with time delay. First, the paper addresses the positivity problem of the system by providing sufficient conditions. Next, a new method based on state transformations is presented to derive a new delay-dependent criterion for the exponential stability of impulsive positive singular systems. Finally, the effectiveness of the proposed conditions is validated through three numerical examples.

Keywords:

• Impulsive system
• positive systems
• discrete-time singular system
• time delays

Acknowledgements

The author would like to thank the editor(s) and anonymous reviewers for their constructive comments which helped to improve the present paper. The authors sincerely thank Vietnam Institute for Advance Study in Mathematics (VIASM) for supporting and providing a fruitful research environment and hospitality for them during the research visit.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

All data generated or analysed during this study are included in this article.

Additional information

Funding

This work was supported by the Hanoi University of Industry [grant number 15-2023-RD/HÐ-ÐHCN].