Exponential stability for discrete-time impulsive positive singular system with time delays
Nguyen Huu Sau, Mai Viet Thuan, Nguyen Thi Phuong · International Journal of Systems Science · 2024
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.