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This paper studies the stability of hybrid event systems (HES). By the partition of time set, we formulate the HES model which includes several special cases reported in the literature. Two types of stability notions (the first and the second stability) are proposed to reflect the effect on stability from hybrid events. A new stability analysis method called hybrid-event-time Lyapunov function (HTLF)...
This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the “energy” changes of subsystems and “energy” dissipation in the whole switched system are explained. The uniform stability conditions...
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