Publications

@conference{Aoun2005321b,

title = {Synthesis and simulation of fractional orthonormal bases},

author = {Mohamed Aoun and Rachid Malti and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960728807\&doi=10.3182%2f20050703-6-cz-1902.00054\&partnerID=40\&md5=5c498af2463f1ea3d44d2514622362c8},

doi = {10.3182/20050703-6-cz-1902.00054},

year  = {2005},

date = {2005-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {16},

pages = {321 \textendash 326},

abstract = {Although rational orthogonal bases can be used to model any L2[0,∞[ system, they fail to capture the aperiodic multi-mode behaviour of fractional systems in a limited number of terms. The classical definition of orthogonal Laguerre, Kautz, and GOB functions has been extended for the use of fractional derivatives. An appropriate diagram is thus proposed for simulation. Copyright © 2005 IFAC.},

note = {Cited by: 1; All Open Access, Green Open Access},

keywords = {Calculations, Dynamical systems, Fractional calculus, Fractional derivatives, Fractional systems, Identification (control systems), Multimodes, Orthogonal basis, Orthogonal functions, Orthonormal basis, Rational orthogonal basis, simulation},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2005321,

title = {Synthesis and simulation of fractional orthonormal bases},

author = {Mohamed Aoun and Rachid Malti and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79960728807\&doi=10.3182%2f20050703-6-cz-1902.00054\&partnerID=40\&md5=5c498af2463f1ea3d44d2514622362c8},

doi = {10.3182/20050703-6-cz-1902.00054},

year  = {2005},

date = {2005-01-01},

journal = {IFAC Proceedings Volumes (IFAC-PapersOnline)},

volume = {16},

pages = {321 \textendash 326},

abstract = {Although rational orthogonal bases can be used to model any L2[0,∞[ system, they fail to capture the aperiodic multi-mode behaviour of fractional systems in a limited number of terms. The classical definition of orthogonal Laguerre, Kautz, and GOB functions has been extended for the use of fractional derivatives. An appropriate diagram is thus proposed for simulation. Copyright © 2005 IFAC.},

note = {Cited by: 1; All Open Access, Green Open Access},

keywords = {Calculations, Dynamical systems, Fractional calculus, Fractional derivatives, Fractional systems, Identification (control systems), Multimodes, Orthogonal basis, Orthogonal functions, Orthonormal basis, Rational orthogonal basis, simulation},

pubstate = {published},

tppubtype = {conference}

}