Absolute stability of switched lurie systems

This paper investigates the absolute stability problem of switched Lurie systems. Based on two new switched time-varying Lyapunov-Lurie functions, sufficient conditions for the absolute stability of the switched Lurie systems are provided under the framework of mode dependent range dwell time (MDRDT) switching and mode dependent minimum dwell time (MDMDT) switching, respectively. The MDRDT and MDMDT switchings can be respectively transformed into range dwell time (RDT) and minimum dwell time (MDT) switchings. Thus, stability criteria under RDT and MDT switchings are given as corollaries. Finally, a numerical example is provided to demonstrate the validity and practicality of the obtained results.