Improved results on stability analysis of sampled-data systems

This article is concerned with the stability analysis of sampled-data systems. Two new functionals are introduced to reduce the conservatism of stability conditions based on the looped-functional approach. The first one is called a zero integral functional (ZIF) that is added to the derivative of a common Lyapunov functional. The second is a general looped-functional (GLF), which is traditionally not well defined at sampling instants but redefined as its limits. Single- and double-integral-based ZIFs and GLFs are tailored for stability analysis. By virtue of the ZIFs and GLFs, less conservative stability criteria are derived and presented in terms of linear matrix inequalities. Finally, several numerical examples are given to demonstrate the effectiveness of proposed method.