Stability analysis for positive switched systems having stable and unstable subsystems based on a weighted average dwell time scheme

By developing two novel switching schemes — the slow and fast weighted average dwell time, the stability problem for positive switched systems with subsystems stable or partially unstable is investigated. It can be seen that the new schemes cover both the average dwell time and mode-dependent average dwell time schemes under some mild conditions, and stability results based on our proposed approach have lower bound and are more flexible than the existing results. Three numerical examples comparing the relevant results are analyzed to illustrate the efficiency of the new findings.