Time-scheduled control for switched positive systems with mode-dependent hybrid dwell time

This research examines the time-scheduled control for continuous-time switched positive systems utilizing the discontinuous copositive multiple Lyapunov functional approach, which reduces the conservatism of the existing results and obtains a larger feasible region of switching signals. Initially, a switching-signal- and time-dependent scheduler is introduced for switched positive systems. Subsequently, the stability analysis of the concerned system is conducted based on the proposed timescheduled control method. Additionally, a joint-design scheme is carried out for a series of state feedback controllers and mode-dependent average dwell time switching signals tailored for switched positive systems. Ultimately, an exemplary illustration is presented to validate the efficacy and superiority of the derived theoretical outcomes.