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Many hybrid control problems of practical interest can be decomposed in a hierarchy of control objectives, where each objective refers to a particular time scale and to a particular level of measurement aggregation.
No evidence was found for a particular time scale since relevant features are scattered throughout all scales.
"I think we'll take our time, and try to make sure we're not locked into any particular time scale," said Brooking.
Figure 5 shows the structure of an MMP with two states and matches its eight parameters to a particular time scale.
Since the growth, death, feeding, and migration of predator and prey individuals always occur periodically, the dynamics of a predator prey system can be observed by a particular time scale, which can be defined by the generation span of the predator and prey populations and measures the regeneration time of both populations.
In order to investigate a particular time scale it is necessary to separate and remove those that are interfering.
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This section is dedicated to the calculation of on some particular time scales.
Moreover, since our main results in Section 4 are valid for arbitrary time scales, similar interval oscillation criteria can be obtained by considering other particular time scales.
Examples, some of which coincide with well-known results on particular time scales, are provided to illustrate the applicability of our results.
However, except BVP of differential and difference equations, that is, for particular time scales ( T = ℝ or T = ℤ ), there are few papers dealing with multi-point boundary value problems more than three-point for first-order systems on time scales.
The setup of this paper is as follows: while we state and prove our main result in Section 2, we consider special cases of particular time scales in Section 3. We state the following lemma, which is an extension of [3, Lemma 2] and improvement of [10, Lemma 2].
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