New results on stability and H_∞ performance analysis for aperiodic sampled-data systems via augmented Lyapunov functional

This paper focuses on the stability and H_∞ performance analysis problems for aperiodic sampled-data systems. An augmented Lyapunov functional is commonly used to study the stability issue based on Lyapunov-Krasovskii theory. To obtain less-conservative results for aperiodic sampled-data systems, an improved augmented Lyapunov functional, which includes the sampling-instant-dependent state variables more fully, is presented on the basis of the double-side looped-functional technique. This functional provides sufficient cross-terms among state variables, which helps to reduce the conservatism. By the functional, the asymptotical stability and H_∞ performance analysis of the aperiodic sampled-data systems are studied. In the end, four numerical examples are given to verify the superiority of the proposed methods.