Exponential Stability Analysis for Discrete-Time Singular Systems with Randomly Occurring Delay

摘要

This paper investigates the problem of exponential stability analysis for discrete-time singular systems with time-varying delay. The delay enters into the singular systems in a random way, and such randomly occurring delay (ROD) obeys a certain Bernoulli distributed white noise sequence. By employing the linear matrix inequality (LMI) approach, a sufficient condition is established to ensure the considered systems exponentially mean-square stable. Two numerical examples are given to show the usefulness of the obtained result.