Stability of aperiodic sampled-data systems - a fragmentation with wirtinger inequality approach

This paper is concerned with stability of aperiodic sampled-data systems. The stability problem is tackled based on a novel Lyapunov approach which integrates continuous-time Lyapunov functional into the discrete-time Lyapunov theorem. The method developed here is an extension of previous results using novel fragmented functional and wirtinger inequality. Numerical example is given to illustrate the result.