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| HAL: hal-00357039, version 1 |
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| New Trends in Nanotechnology and Fractional Calculus Applications (2010) 107-120 |
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| Approximation of a fractance by a network of four identical RC cells arranged in gamma and a purely capacitive cell |
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| Xavier Moreau 1Firas Khemane 1 |
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| (2010) |
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| In this paper a storage I-element and a fractance are associated, thus defining a fractional system. In order to achieve the fractance, an approximation by a net-work of 4 identical RC cells arranged in gamma and a purely capacitive cell is proposed, thus defining a rational system. When compared to each other, the dynamic behaviors of the fractional and the rational systems show an excellent superposi-tion of frequency and time-domain responses. Moreover, the robustness of stability margins obtained with both systems is illustrated versus variations of the I-element. |
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| 1: | Laboratoire de l'intégration, du matériau au système (IMS) |
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CNRS : UMR5218 – Université Sciences et Technologies - Bordeaux I – Ecole Nationale Supérieure d'Electronique, Informatique et Radiocommunications de Bordeaux – École Nationale Supérieure de Chimie et de Physique de Bordeaux |
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| CRONE |
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| Subject | : | Engineering Sciences/Automatic |
| hal-00357039, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00357039 | |
| oai:hal.archives-ouvertes.fr:hal-00357039 | |
| From: Xavier Moreau | |
| Submitted on: Thursday, 29 January 2009 13:23:52 | |
| Updated on: Tuesday, 2 March 2010 16:25:47 | |
