Stability analysis of networked control systems with asynchronous sampling and input delay

This article proposes a novel approach to assess stability of linear systems with delayed and sampled-data inputs. The paper considers both asynchronous sampling and input delay, the proposed results are based on an extension of a recent research on stability of sampled-data systems to the case where a delay is introduced in the control loop. The proposed method provides easy tractable sufficient conditions for asymptotic stability of sampled-data systems under asynchronous sampling and transmission delays. The period and delay-dependent conditions are expressed using computable linear matrix inequalities. Several examples show the efficiency of the stability criteria.