Abstract:In practical engineering, the sampling intervals of networked control systems are often subject to undesirable physical constraints, which results in noisy sampling intervals.In view of this, we focus on the stabilization of networked control systems with noisy sampling intervals and stochastic time-varying delays.First, a closed-loop stochastic system model, whose system matrix is characterized by high nonlinearity and dual randomness, is obtained by considering the noisy sampling intervals and stochastic time-varying delays in a unified framework.In order to deal with the difficulties arising from the nonlinearity and dual randomness of the system matrices, the confluent Vandermonde matrix approach and Kronecker product operation are utilized, and then the mathematical expectations of the product of three matrices related to the system matrices are calculated.Based on this, a sufficient condition for stochastic stability of the closed-loop system is obtained, and a stabilization controller is designed by solving a linear matrix inequality.Finally, two examples are provided to verify the effectiveness of the designed method.