Abstract
In this paper, we introduce a discrete stochastic time-delay system with impulses suffered by logic choice and a pth moment $$(\mu ,\rho )$$-ultimate boundedness concept for this new system. Based on the pth moment ultimate boundedness concept, we give some pth moment $$(\mu ,\rho )$$-ultimate boundedness criteria for this new system. In the end, we illustrate the effectiveness of the criterion by an example.
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