2 recherche sur le tag 'Irrational function'   

Contribution a l’analyse des systemes d'ordre fractionnaire / Hassene Nezzari    

Public ISBD Titre : Contribution a l’analyse des systemes d'ordre fractionnaire Type de document : texte imprimé Auteurs : Hassene Nezzari, Auteur ; Abdelfatah Charef, Directeur de thèse Editeur : constantine [Algérie] : Université Constantine 1 Année de publication : 2013 Importance : 140 f. Format : 30 cm. Note générale : 2 copies imprimées disponibles Langues : Français (fre) Catégories : Français - Anglais Electronique Tags : Equation différentielle d’ordre fractionnaire  Fonction irrationnelle  Fonction rationnelle Implémentation analogique  Stabilité  Systèmes d’ordre fractionnaire  Analog implementation  Fractional order differential equation  Fractional order system  Irrational function  Rational function  Stability  إنجاز تماثلي  ثبات  دالة غير منتظمة  دالة منتظمة  معادلات تفاضلية ذات الدرجة الجزئية  نظام ذوأس جزئي Index. décimale : 621 Electronique Résumé : Fractional order systems have received a considerable interest in numerous domains of applied sciences and engineering. These systems are generally described by fractional order differential equations. In the frequency domain, they are represented by irrational transfer functions. Because of these irrational functions, fractional order systems have been marginally studied. Since they do not have exact analytical solutions, digital and approximation techniques are widely used for their resolution, analysis and implementation. In this thesis resolution, analog implementation and analysis techniques of fundamental fractional order systems based on rational function approximations of their irrational transfer functions are presented. Derivation and analysis of the frequency and temporal characteristics have also been done. To show the efficiency and exactitude of the proposed methods, illustrative examples have been presented. The obtained simulation results were satisfactory. They have been compared to some of the recent resolution methods in the literature.Comparisons of the obtained characteristics with those of a regular second system have been also done. Diplôme : Doctorat en sciences En ligne : ../theses/electronique/NEZ6438.pdf Format de la ressource électronique : pdf Permalink : https://bu.umc.edu.dz/md/index.php?lvl=notice_display&id=9470 Contribution a l’analyse des systemes d'ordre fractionnaire [texte imprimé] / Hassene Nezzari, Auteur ; Abdelfatah Charef, Directeur de thèse . - constantine [Algérie] : Université Constantine 1, 2013 . - 140 f. ; 30 cm. 2 copies imprimées disponibles Langues : Français (fre) Catégories : Français - Anglais Electronique Tags : Equation différentielle d’ordre fractionnaire  Fonction irrationnelle  Fonction rationnelle Implémentation analogique  Stabilité  Systèmes d’ordre fractionnaire  Analog implementation  Fractional order differential equation  Fractional order system  Irrational function  Rational function  Stability  إنجاز تماثلي  ثبات  دالة غير منتظمة  دالة منتظمة  معادلات تفاضلية ذات الدرجة الجزئية  نظام ذوأس جزئي Index. décimale : 621 Electronique Résumé : Fractional order systems have received a considerable interest in numerous domains of applied sciences and engineering. These systems are generally described by fractional order differential equations. In the frequency domain, they are represented by irrational transfer functions. Because of these irrational functions, fractional order systems have been marginally studied. Since they do not have exact analytical solutions, digital and approximation techniques are widely used for their resolution, analysis and implementation. In this thesis resolution, analog implementation and analysis techniques of fundamental fractional order systems based on rational function approximations of their irrational transfer functions are presented. Derivation and analysis of the frequency and temporal characteristics have also been done. To show the efficiency and exactitude of the proposed methods, illustrative examples have been presented. The obtained simulation results were satisfactory. They have been compared to some of the recent resolution methods in the literature.Comparisons of the obtained characteristics with those of a regular second system have been also done. Diplôme : Doctorat en sciences En ligne : ../theses/electronique/NEZ6438.pdf Format de la ressource électronique : pdf Permalink : https://bu.umc.edu.dz/md/index.php?lvl=notice_display&id=9470

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
NEZ/6438	NEZ/6438	Thèse	Bibliothèque principale	Thèses	Disponible

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Resolution des equations d’etat lineaires d’ordre fractionnaire. / Djamel Boucherma  

Public ISBD Titre : Resolution des equations d’etat lineaires d’ordre fractionnaire. Type de document : texte imprimé Auteurs : Djamel Boucherma, Auteur ; Abdelfatah Charef, Directeur de thèse Editeur : جامعة الإخوة منتوري قسنطينة Année de publication : 2017 Importance : 92 f. Format : 30 cm. Note générale : 2 copies imprimées disponibles Langues : Français (fre) Catégories : Français - Anglais Electronique Tags : Décomposition modale  Fonction irrationnelle  Fonction rationnelle  Représentation d’état fractionnaire d’ordre commensurable  Système fractionnaire d’ordre commensurable  Théorème de Cayley-Hamilton  Valeurs propres  Cayley-Hamilton theorem  Eigenvalues  Fractional state space equation of commensurate order representation  Fractional system of commensurate order  Irrational function  Modal decomposition  Rational function  لأنظمة الخطية ذات الأس الجزئي المتعادل  التحلل الشكلي  تمثيل حل لمعادلة فضاء الحالة ذات الأس الجزئي  دالة غير كسرية  دالة كسرية  القيم الذاتية  نظرية Cayley Hamilto Index. décimale : 621 Electronique Résumé : In this work, the resolution of the fractional state space equation representing the linear fractional systems of commensurate order, for all the eigenvalues types of the state matrix A and the order of differentiation m was proposed. The explicit expressions of the homogeneous and non-homogeneous solutions of this fractional state space equation were developed. For different values of the state-space matrix A eigenvalues and the order m, the obtained solutions are linear combinations of suitable fractional fundamental functions whose Laplace transforms are irrational functions. The approximations of these irrational functions by rational functions were obtained so that the solutions of the fractional state space equation are linear combinations of classical exponential, cosine, sine, damped cosine and damped sine functions. Illustrative examples for all the eigenvalues types of the state matrix A and the order m were presented and the results obtained were very satisfactory. Diplôme : Doctorat en sciences En ligne : ../theses/electronique/BOU7116.pdf Format de la ressource électronique : pdf Permalink : https://bu.umc.edu.dz/md/index.php?lvl=notice_display&id=10485 Resolution des equations d’etat lineaires d’ordre fractionnaire. [texte imprimé] / Djamel Boucherma, Auteur ; Abdelfatah Charef, Directeur de thèse . - جامعة الإخوة منتوري قسنطينة, 2017 . - 92 f. ; 30 cm. 2 copies imprimées disponibles Langues : Français (fre) Catégories : Français - Anglais Electronique Tags : Décomposition modale  Fonction irrationnelle  Fonction rationnelle  Représentation d’état fractionnaire d’ordre commensurable  Système fractionnaire d’ordre commensurable  Théorème de Cayley-Hamilton  Valeurs propres  Cayley-Hamilton theorem  Eigenvalues  Fractional state space equation of commensurate order representation  Fractional system of commensurate order  Irrational function  Modal decomposition  Rational function  لأنظمة الخطية ذات الأس الجزئي المتعادل  التحلل الشكلي  تمثيل حل لمعادلة فضاء الحالة ذات الأس الجزئي  دالة غير كسرية  دالة كسرية  القيم الذاتية  نظرية Cayley Hamilto Index. décimale : 621 Electronique Résumé : In this work, the resolution of the fractional state space equation representing the linear fractional systems of commensurate order, for all the eigenvalues types of the state matrix A and the order of differentiation m was proposed. The explicit expressions of the homogeneous and non-homogeneous solutions of this fractional state space equation were developed. For different values of the state-space matrix A eigenvalues and the order m, the obtained solutions are linear combinations of suitable fractional fundamental functions whose Laplace transforms are irrational functions. The approximations of these irrational functions by rational functions were obtained so that the solutions of the fractional state space equation are linear combinations of classical exponential, cosine, sine, damped cosine and damped sine functions. Illustrative examples for all the eigenvalues types of the state matrix A and the order m were presented and the results obtained were very satisfactory. Diplôme : Doctorat en sciences En ligne : ../theses/electronique/BOU7116.pdf Format de la ressource électronique : pdf Permalink : https://bu.umc.edu.dz/md/index.php?lvl=notice_display&id=10485

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
BOU/7116	BOU/7116	Thèse	Bibliothèque principale	Thèses	Disponible