Abstract
This paper proposes a limit Φ-dependent average dwell time containing the slow and fast limit Φ-dependent average dwell time that are applied to stable and unstable subsystems, respectively. By integrating the new strategy with multiple discontinuous Lyapunov function approach, one gets some stability results of switched singular systems with stable and unstable subsystems. Those results obtained contain the corresponding ones based on average dwell time, limiting average dwell time and mode-dependent average dwell time. Finally, a numerical example is presented to verify the effectiveness of the proposed conclusions.
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