p th moment exponential input-to-state stability of nonlinear discrete-time impulsive stochastic delay systems

2018 ◽  
Vol 28 (17) ◽  
pp. 5590-5604 ◽  
Author(s):  
Xuan Wu ◽  
Yu Zhang
Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 418
Author(s):  
Ting Cai ◽  
Pei Cheng

This paper is concerned with stability analysis of discrete-time stochastic delay systems with impulses. By using the sums average value of the time-varying coefficients and the average impulsive interval, two sufficient criteria for exponential stability of discrete-time impulsive stochastic delay systems are derived, which are more convenient to be applied than those Razumikhin-type conditions in previous literature. Both pth moment asymptotic stability and pth moment exponential stability are considered. Finally, two numerical examples to illustrate the effectiveness.


Author(s):  
Mobin Shahamat ◽  
Javad Askari ◽  
Abdalla Swikir ◽  
Navid Noroozi ◽  
Majid Zamani

2000 ◽  
Vol 33 (14) ◽  
pp. 261-266
Author(s):  
Sophie Tarbouriech ◽  
Germain Garcia ◽  
Pedro L.D. Peres ◽  
Isabelle Queinnec

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