Stability Analysis of Stochastic Aperiodic Sampled-data System based on Piecewise Technique

Based on the piecewise technique, a new stability analysis strategy is proposed using stochastic sampled-data and loop-based functional methods. Suppose there are two sampled-data periods that satisfy the Bernoulli distribution. Two stochastic variables are given to describe the relationship between sampled-data period and delay. During the description of this article, a loop-based Lyapunov functional is created, which is completely considers the information within the intervals [t
k
, t] and [t, t
k+1
]. The stability analysis of aperiodic sampled-data is considered by the piecewise technique. The maximum sampled-data period increases with the increase of the number of piecewise. Finally, an example of a spring mass damper verifies the significance of the proposed control strategy.