2002 |
Malti, Rachid; Cois, Olivier; Aoun, Mohammed; Levron, François; Oustaloup, Alain Energy of fractional order transfer functions Conférence vol. 15, no. 1, 2002, (Cited by: 5; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Automation, Calculations, Differentiation (calculus), Dynamical systems, Fractional calculus, Fractional order differentiations, Fractional order transfer function, Impulse response, Impulse response energy, Lebesgue space, Single mode, Square integrable, Strictly positive real, Transfer functions @conference{Malti2002449b,The objective of the paper is to compute the impulse response energy of a fractional order transfer function having a single mode. The differentiation order n, defined in the sense of Riemann-Liouville, is allowed to be a strictly positive real number. A necessary and sufficient condition is established on n, in order for the impulse response to belong to the Lebesgue space L2[0, ∞[ of square integrable functions on [0, ∞[. Copyright © 2002 IFAC. |
Malti, Rachid; Cois, Olivier; Aoun, Mohammed; Levron, François; Oustaloup, Alain Energy of fractional order transfer functions Conférence vol. 15, no. 1, 2002, (Cited by: 5; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Automation, Calculations, Differentiation (calculus), Dynamical systems, Fractional calculus, Fractional order differentiations, Fractional order transfer function, Impulse response, Impulse response energy, Lebesgue space, Single mode, Square integrable, Strictly positive real, Transfer functions @conference{Malti2002449,The objective of the paper is to compute the impulse response energy of a fractional order transfer function having a single mode. The differentiation order n, defined in the sense of Riemann-Liouville, is allowed to be a strictly positive real number. A necessary and sufficient condition is established on n, in order for the impulse response to belong to the Lebesgue space L2[0, ∞[ of square integrable functions on [0, ∞[. Copyright © 2002 IFAC. |
Publications
2002 |
Energy of fractional order transfer functions Conférence vol. 15, no. 1, 2002, (Cited by: 5; All Open Access, Bronze Open Access). |
Energy of fractional order transfer functions Conférence vol. 15, no. 1, 2002, (Cited by: 5; All Open Access, Bronze Open Access). |