Remark 3.7.2 Algorithm 3.7.1 produces a solution on T0; Te/ if the following conditionsare satisfied.1. The algorithm does not get into a situation with t0< Te and S.z/ D ;. Such asituation is called “deadlock.”2. All encountered event times have a finite multiplicity. Stated otherwise, thealgorithm does not end up in an infinite loop consisting of only re-initializationsand mode selections, where a limiting operation is required.3. The event times do not have a finite accumulation point strictly smaller than Te.
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