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

Nguyen Huu Sau, Mai Viet Thuan and Nguyen Thi Phuong

International Journal of Systems Science, 2024, vol. 55, issue 8, 1510-1527

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.

Date: 2024
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DOI: 10.1080/00207721.2024.2309316

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