Publications

@conference{Chibani2009,

title = {IMC based automatic tuning method of PID controllers using neural networks},

author = {R. Chibani and M. Chtourou},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-67650550655\&doi=10.1109%2fSSD.2009.4956702\&partnerID=40\&md5=bd036a5bbef4ad247944c0a779a72dea},

doi = {10.1109/SSD.2009.4956702},

year  = {2009},

date = {2009-01-01},

journal = {2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009},

note = {Cited by: 1},

keywords = {},

pubstate = {published},

tppubtype = {conference}

}

@conference{Bensalem2008221,

title = {Neural and fuzzy adaptive control of induction motor drives},

author = {Y. Bensalem and L. Sbita and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-49149089557\&doi=10.1063%2f1.2952983\&partnerID=40\&md5=0b2a4042b5e30776514d0de946a3b0c5},

doi = {10.1063/1.2952983},

year  = {2008},

date = {2008-01-01},

journal = {AIP Conference Proceedings},

volume = {1019},

pages = {221 \textendash 227},

note = {Cited by: 0},

keywords = {},

pubstate = {published},

tppubtype = {conference}

}

@conference{Melchior20081423,

title = {Attractive force based on fractional potential in dynamic motion planning for mobile robot},

author = {Pierre Melchior and Alexandre Poty and Alain Oustaloup and Brahim Metoui and Slaheddine Najar and Mohamed Naceur Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-44849118491\&doi=10.1115%2fDETC2007-35495\&partnerID=40\&md5=ef1021c7677a3581f4ff791cc36ecbea},

doi = {10.1115/DETC2007-35495},

year  = {2008},

date = {2008-01-01},

journal = {2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007},

volume = {5 PART B},

pages = {1423 \textendash 1430},

note = {Cited by: 8},

keywords = {},

pubstate = {published},

tppubtype = {conference}

}

@conference{Sabatier2006296b,

title = {Estimation of lead acid battery state of charge with a novel fractional model},

author = {Jocelyn Sabatier and Mohamed Aoun and Alain Oustaloup and Gilles Gr\'{e}goire and Franck Ragot and Patrick Roy},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79961119705\&doi=10.3182%2f20060719-3-pt-4902.00055\&partnerID=40\&md5=9143767bcfb728f82eb830b573639f17},

doi = {10.3182/20060719-3-pt-4902.00055},

year  = {2006},

date = {2006-01-01},

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

volume = {2},

number = {PART 1},

pages = {296 \textendash 301},

abstract = {This paper deals with the application of fractional system identification to lead acid battery state of charge estimation. Fractional behavior of lead acid batteries is justified. A fractional system identification method recently developed is presented and a new fractional model of the battery is proposed. Based on parameter variations of this model, a state of charge estimation method is presented. Validation tests of this method on unknown state of charge are carried out. These validation tests highlights that the proposed estimation method gives a state of charge estimation with an error less than 5% whatever the operating temperature.},

note = {Cited by: 6; All Open Access, Bronze Open Access},

keywords = {Application programs, Battery management systems, Charging (batteries), Estimation methods, Fractional behavior, Fractional model, Fractional systems, Identification (control systems), Lead acid batteries, Operating temperature, Religious buildings, State-of-charge estimation, Unknown state, Validation test},

pubstate = {published},

tppubtype = {conference}

}

@conference{Sabatier2006296,

title = {Estimation of lead acid battery state of charge with a novel fractional model},

author = {Jocelyn Sabatier and Mohamed Aoun and Alain Oustaloup and Gilles Gr\'{e}goire and Franck Ragot and Patrick Roy},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-79961119705\&doi=10.3182%2f20060719-3-pt-4902.00055\&partnerID=40\&md5=9143767bcfb728f82eb830b573639f17},

doi = {10.3182/20060719-3-pt-4902.00055},

year  = {2006},

date = {2006-01-01},

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

volume = {2},

number = {PART 1},

pages = {296 \textendash 301},

abstract = {This paper deals with the application of fractional system identification to lead acid battery state of charge estimation. Fractional behavior of lead acid batteries is justified. A fractional system identification method recently developed is presented and a new fractional model of the battery is proposed. Based on parameter variations of this model, a state of charge estimation method is presented. Validation tests of this method on unknown state of charge are carried out. These validation tests highlights that the proposed estimation method gives a state of charge estimation with an error less than 5% whatever the operating temperature.},

note = {Cited by: 6; All Open Access, Bronze Open Access},

keywords = {Application programs, Battery management systems, Charging (batteries), Estimation methods, Fractional behavior, Fractional model, Fractional systems, Identification (control systems), Lead acid batteries, Operating temperature, Religious buildings, State-of-charge estimation, Unknown state, Validation test},

pubstate = {published},

tppubtype = {conference}

}

@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}

}

@conference{Chibani200595,

title = {PID neural tuning for integrating processes},

author = {R. Chibani and M. Chtourou},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84898928229\&partnerID=40\&md5=2699139e7f0e49404a6934b8d982818d},

year  = {2005},

date = {2005-01-01},

journal = {MESM 2005 - 7th Middle Eastern Simulation Multiconference},

pages = {95 \textendash 98},

note = {Cited by: 0},

keywords = {},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2004835b,

title = {Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042685548\&partnerID=40\&md5=957efcea75f0a5a34f4a77d45bd6e85c},

year  = {2004},

date = {2004-01-01},

journal = {International Symposium on Control, Communications and Signal Processing, ISCCSP},

pages = {835 \textendash 839},

abstract = {Fractional Kautz-like functions are synthesized extrapolating the definition of classical Kautz functions to fractional derivatives. The synthesized bases has two periodically repeating complex conjugate modes. The new basis extends the definition of the fractional Laguerre basis, by allowing the modes to be complex. An example is then provided in system identification context.},

note = {Cited by: 19},

keywords = {Approximation theory, Differential equations, Dynamical systems, Extrapolation, Fractional calculus, Fractional derivatives, Generalized orthogonal basis (GOB), Identification (control systems), Laplace transforms, Linear control systems, Mathematical models, Model reduction, Orthogonal functions, Polynomials, Set theory, System stability, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Tellili20041636,

title = {Reliable H∞ controller design for singularly perturbed systems with sensor failure},

author = {Adel Tellili and Mohamed Naceur Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-27944475916\&partnerID=40\&md5=3fabc6d034edace1a93d752364dfaf34},

year  = {2004},

date = {2004-01-01},

journal = {Proceedings of the IEEE International Conference on Industrial Technology},

volume = {3},

pages = {1636 \textendash 1641},

note = {Cited by: 3},

keywords = {},

pubstate = {published},

tppubtype = {conference}

}

@conference{Tellili2004819,

title = {Model-based fault diagnosis of two-time scales singularly perturbed systems},

author = {Adel Tellili and Mohamed Naceur Abdelkrim and Mohamed Benrejeb},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042689735\&partnerID=40\&md5=0b7f48f402adb50f04a9d21cc1b03d6f},

year  = {2004},

date = {2004-01-01},

journal = {International Symposium on Control, Communications and Signal Processing, ISCCSP},

pages = {819 \textendash 822},

note = {Cited by: 14},

keywords = {},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2004835,

title = {Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-3042685548\&partnerID=40\&md5=957efcea75f0a5a34f4a77d45bd6e85c},

year  = {2004},

date = {2004-01-01},

journal = {International Symposium on Control, Communications and Signal Processing, ISCCSP},

pages = {835 \textendash 839},

abstract = {Fractional Kautz-like functions are synthesized extrapolating the definition of classical Kautz functions to fractional derivatives. The synthesized bases has two periodically repeating complex conjugate modes. The new basis extends the definition of the fractional Laguerre basis, by allowing the modes to be complex. An example is then provided in system identification context.},

note = {Cited by: 19},

keywords = {Approximation theory, Differential equations, Dynamical systems, Extrapolation, Fractional calculus, Fractional derivatives, Generalized orthogonal basis (GOB), Identification (control systems), Laplace transforms, Linear control systems, Mathematical models, Model reduction, Orthogonal functions, Polynomials, Set theory, System stability, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2003729b,

title = {H2 norm of fractional differential systems},

author = {Rachid Malti and Mohamed Aoun and Olivier Cois and Alain Oustaloup and Fran\c{c}ois Levron},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-1842634152\&doi=10.1115%2fdetc2003%2fvib-48387\&partnerID=40\&md5=0143c29ff9a0abd0533f228470954b52},

doi = {10.1115/detc2003/vib-48387},

year  = {2003},

date = {2003-01-01},

journal = {Proceedings of the ASME Design Engineering Technical Conference},

volume = {5 A},

pages = {729 \textendash 735},

note = {Cited by: 19},

keywords = {Algebra, Computer simulation, Differential equations, Differentiation (calculus), Explicit systems, Fractional differential systems, Impulse response, Laplace transforms, Mathematical models, Theorem proving, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti20031663b,

title = {Fractional Multimodels - Application to Heat Transfer Modeling},

author = {R. Malti and M. Aoun and J. -L. Battaglia and A. Oustaloup and K. Madani},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875296967\&doi=10.1016%2fS1474-6670%2817%2934999-6\&partnerID=40\&md5=4d376fa9be56a199ca80c932be521309},

doi = {10.1016/S1474-6670(17)34999-6},

year  = {2003},

date = {2003-01-01},

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

volume = {36},

number = {16},

pages = {1663 \textendash 1668},

abstract = {This paper deals with identification of non linear systems using non linear fractional differentiation multimodels. All sub-models are described by fractional differentiation transfer functions. Performance of the newly proposed class of models is illustrated on a heat transfer process near a phase change temperature. © 2003 International Federation of Automatic Control.},

note = {Cited by: 4},

keywords = {Fractional differentiation, Fractional dynamics, Fractional order, Heat transfer model, Heat transfer performance, Heat transfer process, Identification (control systems), Linear systems, Multi-model, Multi-models, Nonlinear systems, Phase change temperature},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2003745,

title = {Numerical simulations of fractional systems},

author = {Mohamed Aoun and Rachid Malti and Fran\c{c}ois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-1842734919\&doi=10.1115%2fdetc2003%2fvib-48389\&partnerID=40\&md5=fa18cbd478afa67e08d5de87422e273f},

doi = {10.1115/detc2003/vib-48389},

year  = {2003},

date = {2003-01-01},

journal = {Proceedings of the ASME Design Engineering Technical Conference},

volume = {5 A},

pages = {745 \textendash 752},

abstract = {This paper deals with the design and simulation of continuous-time models with fractional differentiation orders. Two new methods are proposed. The first is an improvement of the approximation of the fractional integration operator using recursive poles and zeros proposed by Oustaloup (1995) and Lin (2001). The second improves the simulation schema by using a modal representation.},

note = {Cited by: 16},

keywords = {Computer simulation, Differentiation (calculus), Fractional models, Fractional systems, Integration, Laplace transforms, Mathematical models, Transfer functions, Vectors},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun20031333,

title = {Orthonormal basis functions for modeling continuous-time fractional systems},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017520336\&doi=10.1016%2fS1474-6670%2817%2934945-5\&partnerID=40\&md5=51049a0530b07591d53a06e9bfa5d400},

doi = {10.1016/S1474-6670(17)34945-5},

year  = {2003},

date = {2003-01-01},

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

volume = {36},

number = {16},

pages = {1333 \textendash 1338},

abstract = {The classical Laguerre functions are known to be divergent as soon as their differentiation order is non-integer. They are hence inappropriate for representing fractional differentiation systems. A complete orthogonal basis, having fractional differentiation orders and a single pole, is synthesized. It extends the well-known definition of Laguerre functions to fractional systems. Hence a new class of fixed denominator models is provided for system identification. Fourier coefficients are computed using a least squares method. The least squares error is plotted versus the differentiation order and the pole, in an example, and shows that an optimal differentiation order may be located away from an integer number. Hence, the use of the synthesized basis is fully justitied. © 2003 International Federation of Automatic Control.},

note = {Cited by: 11; All Open Access, Bronze Open Access},

keywords = {Continuous time systems, Fourier analysis, Fourier coefficients, Fractional differentiation, Fractional systems, Identification (control systems), Laguerre filter, Laguerre functions, Least squares approximations, Least squares errors, Least squares methods, Orthogonal functions, Orthonormal basis functions, Poles, Religious buildings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2003729,

title = {H2 norm of fractional differential systems},

author = {Rachid Malti and Mohamed Aoun and Olivier Cois and Alain Oustaloup and Fran\c{c}ois Levron},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-1842634152\&doi=10.1115%2fdetc2003%2fvib-48387\&partnerID=40\&md5=0143c29ff9a0abd0533f228470954b52},

doi = {10.1115/detc2003/vib-48387},

year  = {2003},

date = {2003-01-01},

journal = {Proceedings of the ASME Design Engineering Technical Conference},

volume = {5 A},

pages = {729 \textendash 735},

note = {Cited by: 19},

keywords = {Algebra, Computer simulation, Differential equations, Differentiation (calculus), Explicit systems, Fractional differential systems, Impulse response, Laplace transforms, Mathematical models, Theorem proving, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti20031663,

title = {Fractional Multimodels - Application to Heat Transfer Modeling},

author = {R. Malti and M. Aoun and J. -L. Battaglia and A. Oustaloup and K. Madani},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84875296967\&doi=10.1016%2fS1474-6670%2817%2934999-6\&partnerID=40\&md5=4d376fa9be56a199ca80c932be521309},

doi = {10.1016/S1474-6670(17)34999-6},

year  = {2003},

date = {2003-01-01},

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

volume = {36},

number = {16},

pages = {1663 \textendash 1668},

abstract = {This paper deals with identification of non linear systems using non linear fractional differentiation multimodels. All sub-models are described by fractional differentiation transfer functions. Performance of the newly proposed class of models is illustrated on a heat transfer process near a phase change temperature. © 2003 International Federation of Automatic Control.},

note = {Cited by: 4},

keywords = {Fractional differentiation, Fractional dynamics, Fractional order, Heat transfer model, Heat transfer performance, Heat transfer process, Identification (control systems), Linear systems, Multi-model, Multi-models, Nonlinear systems, Phase change temperature},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2003745b,

title = {Numerical simulations of fractional systems},

author = {Mohamed Aoun and Rachid Malti and Fran\c{c}ois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-1842734919\&doi=10.1115%2fdetc2003%2fvib-48389\&partnerID=40\&md5=fa18cbd478afa67e08d5de87422e273f},

doi = {10.1115/detc2003/vib-48389},

year  = {2003},

date = {2003-01-01},

journal = {Proceedings of the ASME Design Engineering Technical Conference},

volume = {5 A},

pages = {745 \textendash 752},

abstract = {This paper deals with the design and simulation of continuous-time models with fractional differentiation orders. Two new methods are proposed. The first is an improvement of the approximation of the fractional integration operator using recursive poles and zeros proposed by Oustaloup (1995) and Lin (2001). The second improves the simulation schema by using a modal representation.},

note = {Cited by: 16},

keywords = {Computer simulation, Differentiation (calculus), Fractional models, Fractional systems, Integration, Laplace transforms, Mathematical models, Transfer functions, Vectors},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun20031333b,

title = {Orthonormal basis functions for modeling continuous-time fractional systems},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017520336\&doi=10.1016%2fS1474-6670%2817%2934945-5\&partnerID=40\&md5=51049a0530b07591d53a06e9bfa5d400},

doi = {10.1016/S1474-6670(17)34945-5},

year  = {2003},

date = {2003-01-01},

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

volume = {36},

number = {16},

pages = {1333 \textendash 1338},

abstract = {The classical Laguerre functions are known to be divergent as soon as their differentiation order is non-integer. They are hence inappropriate for representing fractional differentiation systems. A complete orthogonal basis, having fractional differentiation orders and a single pole, is synthesized. It extends the well-known definition of Laguerre functions to fractional systems. Hence a new class of fixed denominator models is provided for system identification. Fourier coefficients are computed using a least squares method. The least squares error is plotted versus the differentiation order and the pole, in an example, and shows that an optimal differentiation order may be located away from an integer number. Hence, the use of the synthesized basis is fully justitied. © 2003 International Federation of Automatic Control.},

note = {Cited by: 11; All Open Access, Bronze Open Access},

keywords = {Continuous time systems, Fourier analysis, Fourier coefficients, Fractional differentiation, Fractional systems, Identification (control systems), Laguerre filter, Laguerre functions, Least squares approximations, Least squares errors, Least squares methods, Orthogonal functions, Orthonormal basis functions, Poles, Religious buildings},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2002449b,

title = {Energy of fractional order transfer functions},

author = {Rachid Malti and Olivier Cois and Mohammed Aoun and Fran\c{c}ois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945534478\&doi=10.3182%2f20020721-6-es-1901.00156\&partnerID=40\&md5=ec06924b792120270d919ea8a5620e72},

doi = {10.3182/20020721-6-es-1901.00156},

year  = {2002},

date = {2002-01-01},

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

volume = {15},

number = {1},

pages = {449 \textendash 454},

abstract = {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.},

note = {Cited by: 5; All Open Access, Bronze Open Access},

keywords = {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},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2002265b,

title = {System identification using fractional hammerstein models},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945550683\&doi=10.3182%2f20020721-6-es-1901.01030\&partnerID=40\&md5=106ff8852a5dbedf91e03c25f0e7bb03},

doi = {10.3182/20020721-6-es-1901.01030},

year  = {2002},

date = {2002-01-01},

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

volume = {15},

number = {1},

pages = {265 \textendash 269},

abstract = {Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC.},

note = {Cited by: 23},

keywords = {Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions},

pubstate = {published},

tppubtype = {conference}

}

@conference{Malti2002449,

title = {Energy of fractional order transfer functions},

author = {Rachid Malti and Olivier Cois and Mohammed Aoun and Fran\c{c}ois Levron and Alain Oustaloup},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945534478\&doi=10.3182%2f20020721-6-es-1901.00156\&partnerID=40\&md5=ec06924b792120270d919ea8a5620e72},

doi = {10.3182/20020721-6-es-1901.00156},

year  = {2002},

date = {2002-01-01},

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

volume = {15},

number = {1},

pages = {449 \textendash 454},

abstract = {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.},

note = {Cited by: 5; All Open Access, Bronze Open Access},

keywords = {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},

pubstate = {published},

tppubtype = {conference}

}

@conference{Aoun2002265,

title = {System identification using fractional hammerstein models},

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

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84945550683\&doi=10.3182%2f20020721-6-es-1901.01030\&partnerID=40\&md5=106ff8852a5dbedf91e03c25f0e7bb03},

doi = {10.3182/20020721-6-es-1901.01030},

year  = {2002},

date = {2002-01-01},

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

volume = {15},

number = {1},

pages = {265 \textendash 269},

abstract = {Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC.},

note = {Cited by: 23},

keywords = {Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions},

pubstate = {published},

tppubtype = {conference}

}