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Ultimate boundedness of the observation errors is formally proven and an arbitrarily small ultimate bound is then achieved.
To cater to the characteristic of piezoceramics: large ultimate stress, but extremely small ultimate strain, a multi-stage force amplification mechanism is developed in the design.
When disturbances are periodic, frequency analysis technique obtains a less conservative estimate of the ultimate bound of the system, indicating that disturbances with high frequencies lead to relatively small ultimate bounds.
The trade-off between getting a small ultimate boundedness region and tolerating large noises is formulated as an optimization problem under the framework of the linear matrix inequality approach.
The proposed scheme guarantees the stability of the closed-loop system and achieves a very small ultimate boundedness of the tracking error in the presence of matched uncertain parameters and external slow disturbances.
For example, within many ant subfamilies (predominantly within in the poneroid clade but also some formicoid subfamilies [ 24, 25]), there are species where colony foundation almost exclusively involves a single brood-rearing foundress and very small ultimate colony sizes [ 24, 26].
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The smaller ultimate load is attributed to the fact that the concrete column in Specimen S2 experienced a smaller loading, ( pm 6Delta_{y} ), when the west anchor fractured.
The beams with rectangular web openings have the smaller ultimate loads than their equivalent beams with square or circular openings (Morkhade and Gupta 2015; Rodrigues et al. 2014; Chung et al. 2001).
Male grow faster than females but reach a smaller ultimate size.
This is a long-lived, slow-growing species; males grow faster and reach a smaller ultimate size than females.
Closely associated with the concept of a continuum is that of infinitesimal.[5] An infinitesimal magnitude has been somewhat hazily conceived as a continuum "viewed in the small," an "ultimate part" of a continuum.
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