Absolute stability of switched Lurie systems via dwell time switching

Abstract This article deals with the absolute stability problem of switched Lurie systems. By constructing two types of switched time‐varying Lyapunov–Lurie functions, sufficient conditions in terms of linear‐matrix inequalities are proposed to ensure that the switched Lurie system is absolutely stable under mode‐dependent dwell time switching signals. Furthermore, the conservatism of the proposed method for absolute stability analysis is studied. The given results are illustrated by numerical examples.