Stabilization of Networked Systems with Asynchronous Sensors and Controllers: the Random Clock Offsets Case

In this paper, the stabilization of networked systems with asynchronous sensors and controllers is studied, where the offsets between the sensors and controllers clocks are random variables with certain probability distribution. By the Kronecker product operation and confluent Vandermonde matrix, some sufficient conditions for the stochastic stability of corresponding closed-loop systems are given. Meanwhile, a static output feed-back controller is presented. Finally, two simulation examples are given to validate that the proposed design method is effective and applicable.