1Stability analysis of sampled-data systems using Sum of Squares

Abstract—This article proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares method-ology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence