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Abstract

The control system described by Urysohn type integral equation is considered where the system is nonlinear with respect to the phase vector and is affine with respect to the control vector. The control functions are chosen from the closed ball of the space Lq (Ω; ℝ<sup>m</sup>), q > 1, with radius r and centered at the origin. The trajectory of the system is defined as p-integrable multivariable function from the space Lq (Ω; ℝ<sup>n</sup>), (1/q) + (1/p) = 1, satisfying the system’s equation almost everywhere. It is shown that the system’s trajectories are robust with respect to the fast consumption of the remaining control resource. Applying this result it is proved that every trajectory can be approximated by the trajectory obtained by full consumption of the total control resource.









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Authors and Affiliations

Nesir Huseyin
1
ORCID: ORCID
Anar Huseyin
2
ORCID: ORCID
Khalik G. Guseinov
3
ORCID: ORCID

  1. Department of Mathematics and Science Education, Sivas Cumhuriyet University, 58140 Sivas, Turkey
  2. Department of Statistics and Computer Sciences, Sivas Cumhuriyet University, 58140 Sivas, Turkey
  3. Department of Mathematics, Eskisehir Technical University, 26470 Eskisehir, Turkey
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Abstract

This paper gives a detailed electroacoustic study of a new generation of monolithic CMOS micromachined electrodynamic microphone, made with standard CMOS technology. The monolithic integration of the mechanical sensor with the electronics using a standard CMOS process is respected in the design, which presents the advantage of being inexpensive while having satisfactory performance. The MEMS microphone structure consists mainly of two planar inductors which occupy separate regions on substrate. One inductor is fixed; the other can exercise out-off plane movement. Firstly, we detail the process flow, which is used to fabricate our monolithic microphone. Subsequently, using the analogy between the three different physical domains, a detailed electro-mechanical-acoustic analogical analysis has been performed in order to model both frequency response and sensitivity of the microphone. Finally, we show that the theoretical microphone sensitivity is maximal for a constant vertical position of the diaphragm relative to the substrate, which means the distance between the outer and the inner inductor. The pressure sensitivity, which is found to be of the order of a few tens of μV/Pa, is flat within a bandwidth from 50 Hz to 5 kHz.
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Authors and Affiliations

Farès Tounsi
Brahim Mezghani
Libor Rufer
Mohamed Masmoudi
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Abstract

Se non la realtà, published in 1960, collects travel stories written by Tommaso Landolfi during the 1950s. Among the texts contained in the collection you can find stories, articles, micro-reports on various – also less known – Italian cities. The writer chooses alternative routes to mass tourism, which he strongly criticizes. Anti-tourism practiced by Landolfi is also reflected in his literary style, adopting strategies unusual for travel literature, such as combining literary and non-fiction fiction, numerous allusions and quotes, and esoteric illuminations. Unlike other authors of travel reports from the 1950s, such as Pasolini or Piovene, Landolfi criticizes the euphoria associated with the development of Italy during the economic boom, anticipating some of the topics of Guido Ceronetti’s Un viaggio in Italia.

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Authors and Affiliations

Raoul Bruni

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