A novel stability analysis of sampled-data systems with applications to multi-rate sampling and packet loss

Abstract — This paper deals with a new analysis of the stability of linear systems with sampled-data inputs. Inspired by the input-delay approach and the stability of impulsive systems, the proposed method provides novel stability conditions. The stability analysis concerns both constant and time-varying sampling periods. More precisely, this article focus on ensuring stability of systems under two successive sampling periods. This result allows considering one of the periods greater than the theoretical bound, based on an estimation of the convergence rate. The delay-dependent conditions are expressed using computable simple linear matrix inequalities. Several examples show the efficiency and the limitation of such stability criteria. I