Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes

International Symposium on Control, Communications and Signal Processing, ISCCSP

Volumn , Issue , 2004, Pages 835-839

  Malti, Rachid ^a   Aoun, Mohamed ^b   Oustaloup, Alain ^b  

^a I2S IUT de Senart Fontainebleau   (France)

^b UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

Dynamical system; Fractional calculus; Fractional derivative; Generalized orthogonal basis; Identification; Model reduction; Orthogonal functions

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; EXTRAPOLATION; IDENTIFICATION (CONTROL SYSTEMS); LAPLACE TRANSFORMS; MATHEMATICAL MODELS; POLYNOMIALS; SET THEORY; SYSTEM STABILITY; TRANSFER FUNCTIONS;

DYNAMICAL SYSTEMS; FRACTIONAL CALCULUS; FRACTIONAL DERIVATIVES; GENERALIZED ORTHOGONAL BASIS (GOB); MODEL REDUCTION; ORTHOGONAL FUNCTIONS;

LINEAR CONTROL SYSTEMS;

EID: 3042685548     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. P.C. Abbott. Generalized laguerre polynomials and quantum mechanics. J. Phys. A: Math. Gen., 33(42):7659-7660.
2. M. Aoun, R. Malti, F. Levron, and A. Oustaloup. Orthonormal basis functions for modeling continuous-time fractional systems. In Elsevier, editor, SySId, Rotterdam, The Nederlands, August 2003. IFAC, Elsevier.
3. A.M. El-Sayed. On the generalized laguerre polynomials of arbitrary (fractional) orders and quantum mechanics. J. Phys. A: Math. Gen., 32:8647-8654, 1999.
4. R. Malti, S.B. Ekongolo, and J. Ragot, Dynamic siso and mimo system approximations based on optimal laguerre models. IEEE TAC, 43(9), 1998.
5. D. Matignon. Stability properties for generalized fractional differential systems. ESAIM proceedings -Systmes Diffrentiels Fractionnaires -Modles, Mthodes et Applications, 5, 1998.
6. B. Ninness and F. Gustafsson. A unifying construction of orthonormal bases for system identification. IEEE TAC, 42(4):515-521, 1997.
7. K.B. Oldham and J. Spanier. The fractionnai calculus. Academic Press, New-York and London, 1974.
8. S.G. Samko, A.A. Kilbas, and O.I. Marichev. Fractional integrals and derivatives: theory and applications. Gordon and Breach Science, 1993.
9. G. Szego. Orthogonal Polynomials. American Mathematical Society, 4th edition edition, 1975.
10. P.M.J. Van den Hof, P.S.C. Heuberger, and J. Bokor. System identification with generalized orthonormal basis functions. Automatica, 31(12): 1821-1834, 1995.
11. B. Wahlberg. System identification using laguerre models. IEEE TAC, 36:551-562, 1991.