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Volumn 15, Issue 5, 2013, Pages 1624-1642

Genetic algorithm-based identification of fractional-order systems

Author keywords

Excitation; Fractional order systems; Genetic algorithm; Noise; Output error; Parameter identification

Indexed keywords


EID: 84878362738     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e15051624     Document Type: Article
Times cited : (64)

References (66)
  • 1
    • 0003598080 scopus 로고
    • Fractional Integrals and Derivatives: Theory and applications;
    • Gordon and Breach Science Publisher: New York, NY, USA
    • Samko, S.G.; Kilbas, A.A.; Marichev, O.I. Fractional Integrals and Derivatives: Theory and applications; Gordon and Breach Science Publisher: New York, NY, USA, 1993.
    • (1993)
    • Samko, S.G.1    Kilbas, A.A.2    Marichev, O.I.3
  • 2
    • 0033888365 scopus 로고    scopus 로고
    • Frequency-band complex noninteger differentiator: characterization and synthesis.
    • IEEE Trans. Circuits and Systems I Fund.
    • Oustaloup, A.; Levron, F.; Mathieu, B.; Nanot, F.M. Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans. Circuits and Systems I Fund. Theory Appl. 2000, 47, 25-40.
    • (2000) Theory Appl. , vol.47 , pp. 25-40
    • Oustaloup, A.1    Levron, F.2    Mathieu, B.3    Nanot, F.M.4
  • 5
    • 0032284994 scopus 로고    scopus 로고
    • Frequency domain identification of a flexible structure with piezoelectric actuators using irrational transfer function models.
    • In Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL, USA,
    • Vinagre, B.M.; Feliú, V.; Feliú, J.J. Frequency domain identification of a flexible structure with piezoelectric actuators using irrational transfer function models. In Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL, USA, 16-18 December 1998; 1278-1280.
    • (1998)
    • Vinagre, B.M.1    Feliú, V.2    Feliú, J.J.3
  • 6
    • 70350770826 scopus 로고    scopus 로고
    • Identification of the parameters of the Kelvin-Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers.
    • Lewandowski, R.; Chorazyczewski, B. Identification of the parameters of the Kelvin-Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers. Comput. Struct. 2010, 88, 1-17.
    • (2010) Comput.Struct. , vol.88 , pp. 1-17
    • Lewandowski, R.1    Chorazyczewski, B.2
  • 7
    • 46249115223 scopus 로고    scopus 로고
    • Ultracapacitor modelling and control using discrete fractional order state-space model.
    • Dzielinski, A.; Sierociuk, D. Ultracapacitor modelling and control using discrete fractional order state-space model. Acta Montan. Slovaca 2008, 13, 136-145.
    • (2008) Acta Montan. Slovaca , vol.13 , pp. 136-145
    • Dzielinski, A.1    Sierociuk, D.2
  • 8
    • 33745698038 scopus 로고    scopus 로고
    • Fractional system identification for lead acid battery state of charge estimation.
    • Sabatier, J.; Aoun, M.; Oustaloup, A.; Grégoire, G.; Ragot, F.; Roy, P. Fractional system identification for lead acid battery state of charge estimation. Signal Process. 2006, 86, 2645-2657.
    • (2006) Signal Process. , vol.86 , pp. 2645-2657
    • Sabatier, J.1    Aoun, M.2    Oustaloup, A.3    Grégoire, G.4    Ragot, F.5    Roy, P.6
  • 9
    • 84861724090 scopus 로고    scopus 로고
    • A pair of van der Pol oscillators coupled by fractional derivatives.
    • Suchorsky, M.K.; Rand, R.H. A pair of van der Pol oscillators coupled by fractional derivatives. Nonlinear Dynamics 2012, 69, 313-324.
    • (2012) Nonlinear Dynamics , vol.69 , pp. 313-324
    • Suchorsky, M.K.1    Rand, R.H.2
  • 10
    • 84922448705 scopus 로고    scopus 로고
    • Nonlinear dynamics of duffing system with fractional order damping.
    • Cao, J.Y.; Ma, C.B.; Xie, H.; Jiang, Z.D. Nonlinear dynamics of duffing system with fractional order damping. ASME J.Comput. Nonlinear Dyn. 2010, 5, 041012-041018.
    • (2010) ASME J.Comput. Nonlinear Dyn. , vol.5 , pp. 041012-041018
    • Cao, J.Y.1    Ma, C.B.2    Xie, H.3    Jiang, Z.D.4
  • 11
    • 84878363605 scopus 로고    scopus 로고
    • A fractional calculus based model for the simulation of an outbreak of dengue fever.
    • Diethelm, K. A fractional calculus based model for the simulation of an outbreak of dengue fever. Nonlinear Dyn. 2013, 71, 613-619.
    • (2013) Nonlinear Dyn. , vol.71 , pp. 613-619
    • Diethelm, K.1
  • 12
    • 84859341134 scopus 로고    scopus 로고
    • Vibrational resonance in Duffing systems with fractional-order damping.
    • 013112:1-013112:9
    • Yang, J.H.; Zhu, H. Vibrational resonance in Duffing systems with fractional-order damping. Chaos 2012, 22, 013112:1-013112:9.
    • (2012) Chaos , vol.22
    • Yang, J.H.1    Zhu, H.2
  • 13
    • 77952861634 scopus 로고    scopus 로고
    • A study on modified Szabo's wave equation modeling of frequency-dependent dissipation in ultrasonic medical imaging.
    • Chen, W.; Zhang, X.D.; Cai, X. A study on modified Szabo's wave equation modeling of frequency-dependent dissipation in ultrasonic medical imaging. Phys. Scripta 2009, T136, 014014.
    • (2009) Phys. Scripta , vol.136 , pp. 014014
    • Chen, W.1    Zhang, X.D.2    Cai, X.3
  • 15
    • 67649494324 scopus 로고    scopus 로고
    • Entropies based on fractional calculus.
    • Ubriaco, M.R. Entropies based on fractional calculus. Phys. Lett. A 2009, 373, 2516-2519.
    • (2009) Phys. Lett. A , vol.373 , pp. 2516-2519
    • Ubriaco, M.R.1
  • 16
    • 84867961487 scopus 로고    scopus 로고
    • Entropy analysis of integer and fractional dynamical systems.
    • Machado, J.A.T. Entropy analysis of integer and fractional dynamical systems. Nonlinear Dyn. 2010, 62, 371-378.
    • (2010) Nonlinear Dyn. , vol.62 , pp. 371-378
    • Machado, J.A.T.1
  • 18
    • 0034274113 scopus 로고    scopus 로고
    • Tsallis and Rényi entropies in fractional diffusion and entropy production.
    • Essex, C.; Schulzky, C.; Franz, A.; Hoffmann, K.H. Tsallis and Rényi entropies in fractional diffusion and entropy production. Phys. Stat. Mech. Appl. 2000, 284, 299-308.
    • (2000) Phys. Stat. Mech. Appl. , vol.284 , pp. 299-308
    • Essex, C.1    Schulzky, C.2    Franz, A.3    Hoffmann, K.H.4
  • 19
    • 70349750472 scopus 로고    scopus 로고
    • The super diffusion entropy production paradox in the space-fractional case for extended entropies.
    • Prehl, J.; Essex, C.; Hoffmann, K.H. The super diffusion entropy production paradox in the space-fractional case for extended entropies. Phys. Stat. Mech. Appl. 2010, 389, 215-224.
    • (2010) Phys. Stat. Mech. Appl. , vol.389 , pp. 215-224
    • Prehl, J.1    Essex, C.2    Hoffmann, K.H.3
  • 20
    • 46949084674 scopus 로고    scopus 로고
    • Entanglement spectrum as a generalization of entanglement entropy: identification of topological order in non-abelian fractional quantum hall effect states.
    • Li, H.; Haldane, F.D.M. Entanglement spectrum as a generalization of entanglement entropy: identification of topological order in non-abelian fractional quantum hall effect states. Phys. Rev. Lett. 2008, 101, 010504.
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 010504
    • Li, H.1    Haldane, F.D.M.2
  • 21
    • 85065556461 scopus 로고    scopus 로고
    • Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results.
    • Rossikhin, Y.A.; Shitikova, M.V. Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results. J. Appl. Mech. Rev. 2010, 63, 1-52.
    • (2010) J. Appl. Mech. Rev. , vol.63 , pp. 1-52
    • Rossikhin, Y.A.1    Shitikova, M.V.2
  • 22
    • 78650513186 scopus 로고    scopus 로고
    • New Trends in Nanotechnology and Fractional Calculus Applications;
    • Springer-Verlag: New York, NY, USA,
    • Baleanu, D.; Guvenc, Z.B.; Machado, J.A.T. New Trends in Nanotechnology and Fractional Calculus Applications; Springer-Verlag: New York, NY, USA, 2010.
    • (2010)
    • Baleanu, D.1    Guvenc, Z.B.2    Machado, J.A.T.3
  • 23
    • 84885710343 scopus 로고    scopus 로고
    • Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering;
    • Springer-Verlag: New York, NY, USA,
    • Sabatier, J.; Agrawal, O.P.; Machado, J.A.T. Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering; Springer-Verlag: New York, NY, USA, 2007.
    • (2007)
    • Sabatier, J.1    Agrawal, O.P.2    Machado, J.A.T.3
  • 25
    • 0003994006 scopus 로고
    • Fractals in the Physical Sciences;
    • St. Martin's Press: New York, NY, USA,
    • Takayasu, H. Fractals in the Physical Sciences; St. Martin's Press: New York, NY, USA, 1990.
    • (1990)
    • Takayasu, H.1
  • 26
    • 0003935762 scopus 로고
    • Fractal Image Compression: Theory and Application;
    • Springer-Verlag: New York, NY, USA,
    • Fisher, Y. Fractal Image Compression: Theory and Application; Springer-Verlag: New York, NY, USA, 1995.
    • (1995)
    • Fisher, Y.1
  • 27
    • 79957444603 scopus 로고    scopus 로고
    • Identification of a thermal system using continuous linear parameter-varying fractional modeling.
    • Gabano, J.D.; Poinot, T.; Kanoun, H. Identification of a thermal system using continuous linear parameter-varying fractional modeling. Control Theory Appl. 2011, 5, 889-899.
    • (2011) Control Theory Appl. , vol.5 , pp. 889-899
    • Gabano, J.D.1    Poinot, T.2    Kanoun, H.3
  • 28
    • 84878361586 scopus 로고    scopus 로고
    • Flatness control for linear fractional MIMO systems: thermal application.
    • In Proceedings of 3rd IFAC Workshop on Fractional Differentiation and Its Application, Ankara, TUR
    • Victor, S.; Melchior, P.; Nelson-Gruel, D.; Oustaloup, A. Flatness control for linear fractional MIMO systems: thermal application. In Proceedings of 3rd IFAC Workshop on Fractional Differentiation and Its Application, Ankara, Turkey, 5-7 November 2008; pp. 5-7.
    • (2008) , pp. 5-7
    • Victor, S.1    Melchior, P.2    Nelson-Gruel, D.3    Oustaloup, A.4
  • 29
    • 79551512124 scopus 로고    scopus 로고
    • Variable time-delay estimation for anesthesia control during intensive care.
    • Ionescu, C.-M.; Hodrea, R.; de Keyser, R. Variable time-delay estimation for anesthesia control during intensive care. IEEE Trans. Biomed. Eng. 2011, 58, 363-369.
    • (2011) IEEE Trans. Biomed. Eng. , vol.58 , pp. 363-369
    • Ionescu, C.-M.1    Hodrea, R.2    de Keyser, R.3
  • 33
    • 0001805106 scopus 로고    scopus 로고
    • Discrete-time fractional-order controllers.
    • Machado, J.A.T. Discrete-time fractional-order controllers. Fract. Calc. Appl. Anal. 2001, 4, 47-66.
    • (2001) Fract. Calc. Appl. Anal. , vol.4 , pp. 47-66
    • Machado, J.A.T.1
  • 34
    • 41549148741 scopus 로고    scopus 로고
    • Tuning and auto-tuning of fractional order controllers for industry applications.
    • Monje, C.A.; Vinagre, B.M.; Feliu, V.; Chen, Y.Q. Tuning and auto-tuning of fractional order controllers for industry applications. Control Eng. Pract. 2008, 16, 798-812.
    • (2008) Control Eng. Pract. , vol.16 , pp. 798-812
    • Monje, C.A.1    Vinagre, B.M.2    Feliu, V.3    Chen, Y.Q.4
  • 35
    • 33745872964 scopus 로고    scopus 로고
    • Robust stability check of fractional order linear time invariant systems with interval uncertainties.
    • Chen, Y.Q.; Ahn, H.S.; Podlubny, I. Robust stability check of fractional order linear time invariant systems with interval uncertainties. Signal Process. 2006, 86, 2611-2618.
    • (2006) Signal Process. , vol.86 , pp. 2611-2618
    • Chen, Y.Q.1    Ahn, H.S.2    Podlubny, I.3
  • 36
    • 84878360250 scopus 로고    scopus 로고
    • Outer synchronization between fractional-order complex networks: A non-fragile observer-based control scheme.
    • Zhao, M.C.; Wang, J.W. Outer synchronization between fractional-order complex networks: A non-fragile observer-based control scheme. Entropy 2013, 15, 1357-1374.
    • (2013) Entropy , vol.15 , pp. 1357-1374
    • Zhao, M.C.1    Wang, J.W.2
  • 37
    • 33745932867 scopus 로고    scopus 로고
    • Time domain design of fractional differ integrators using least-squares.
    • Barbosa, R.S.; Machado, J.A.T.; Silva, M.F. Time domain design of fractional differ integrators using least-squares. Signal Process. 2006, 86, 2567-2581.
    • (2006) Signal Process. , vol.86 , pp. 2567-2581
    • Barbosa, R.S.1    Machado, J.A.T.2    Silva, M.F.3
  • 38
    • 0141892682 scopus 로고    scopus 로고
    • Fractional signal processing and applications.
    • Ortigueira, M.D.; Machado, J.A.T. Fractional signal processing and applications. Signal Process. 2003, 83, 2285-2286.
    • (2003) Signal Process. , vol.83 , pp. 2285-2286
    • Ortigueira, M.D.1    Machado, J.A.T.2
  • 39
    • 0141961681 scopus 로고    scopus 로고
    • Consideration of obstacle danger level in path planning using A and fast-marching optimisation: Comparative study.
    • Melchior, P.; Orsoni, B.; Lavialle, O.; Poty, A; Oustaloup, A. Consideration of obstacle danger level in path planning using A and fast-marching optimisation: Comparative study. Signal Process. 2003, 83, 2387-2396.
    • (2003) Signal Process. , vol.83 , pp. 2387-2396
    • Melchior, P.1    Orsoni, B.2    Lavialle, O.3    Poty, A.4    Oustaloup, A.5
  • 40
    • 84878364553 scopus 로고    scopus 로고
    • Design of centralized CRONE controller combined with MIMO-QFT approach applied to non-square multivariable systems.
    • Yousfi, N.; Melchior, P.; Rekik, C.; Derbel, N.; Oustaloup, A. Design of centralized CRONE controller combined with MIMO-QFT approach applied to non-square multivariable systems. Int. J. Comput. Appl. 2012, 45, 6-14.
    • (2012) Int. J. Comput. Appl. , vol.45 , pp. 6-14
    • Yousfi, N.1    Melchior, P.2    Rekik, C.3    Derbel, N.4    Oustaloup, A.5
  • 41
    • 84878359099 scopus 로고    scopus 로고
    • Path tracking design by fractional prefilter using a combined QFT/H 8 design for TDOF uncertain feedback systems.
    • Yousfi, N.; Melchior, P.; Rekik, C.; Derbel, N.; Oustaloup, A. Path tracking design by fractional prefilter using a combined QFT/H 8 design for TDOF uncertain feedback systems. Nonlinear Dyn. 2013, 71, 701-712.
    • (2013) Nonlinear Dyn. , vol.71 , pp. 701-712
    • Yousfi, N.1    Melchior, P.2    Rekik, C.3    Derbel, N.4    Oustaloup, A.5
  • 43
    • 15544381811 scopus 로고    scopus 로고
    • Fractional order control of a hexapod robot.
    • Silva, M.F.; Machado, J.A.T.; Lopes, A.M. Fractional order control of a hexapod robot. Nonlinear Dyn. 2004, 38, 417-433.
    • (2004) Nonlinear Dyn. , vol.38 , pp. 417-433
    • Silva, M.F.1    Machado, J.A.T.2    Lopes, A.M.3
  • 44
    • 44949282247 scopus 로고
    • Damping description involving fractional operators.
    • Gaul, L.; Klein, P.; Kemple, S. Damping description involving fractional operators. Mech. Syst. Signal Process. 1991, 5, 81-88.
    • (1991) Mech. Syst. Signal Process. , vol.5 , pp. 81-88
    • Gaul, L.1    Klein, P.2    Kemple, S.3
  • 45
    • 76849098226 scopus 로고    scopus 로고
    • Lead-acid battery fractional modeling associated to a model validation method for resistance and cranking capability estimation.
    • Cugnet, M.; Sabatier, J.; Laruelle, S.; Grugeon, S.; Sahut, B.; Oustaloup, A.; Tarascon, J.-M. Lead-acid battery fractional modeling associated to a model validation method for resistance and cranking capability estimation. IEEE Trans. Ind. Electron. 2010, 57, 909-917.
    • (2010) IEEE Trans. Ind. Electron. , vol.57 , pp. 909-917
    • Cugnet, M.1    Sabatier, J.2    Laruelle, S.3    Grugeon, S.4    Sahut, B.5    Oustaloup, A.6    Tarascon, J.-M.7
  • 48
    • 70349224466 scopus 로고    scopus 로고
    • Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations.
    • Herallah, M.A.E.; Baleanu, D. Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations. Nonlinear Dyn. 2009, 58, 385-391.
    • (2009) Nonlinear Dyn. , vol.58 , pp. 385-391
    • Herallah, M.A.E.1    Baleanu, D.2
  • 49
    • 68649098514 scopus 로고    scopus 로고
    • Variable-order fractional differential operators in anomalous diffusion modeling.
    • Sun, H.G.; Chen, W.; Chen, Y.Q. Variable-order fractional differential operators in anomalous diffusion modeling. Phys. Stat. Mech. Appl. 2009, 388, 4586-4592.
    • (2009) Phys. Stat. Mech. Appl. , vol.388 , pp. 4586-4592
    • Sun, H.G.1    Chen, W.2    Chen, Y.Q.3
  • 50
    • 76449113714 scopus 로고    scopus 로고
    • Fractional diffusion equations by the Kansa method.
    • Chen, W.; Ye, L.J.; Sun. H.G. Fractional diffusion equations by the Kansa method. Comput. Math. Appl. 2010, 59, 1614-1620.
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1614-1620
    • Chen, W.1    Ye, L.J.2    Sun, H.G.3
  • 51
    • 1842832060 scopus 로고    scopus 로고
    • Chaos in Chen's system with a fractional order.
    • Li, C.P.; Peng, G.J. Chaos in Chen's system with a fractional order. Chaos Soliton. Fract. 2007, 32, 443-450.
    • (2007) Chaos Soliton. Fract. , vol.32 , pp. 443-450
    • Li, C.P.1    Peng, G.J.2
  • 52
    • 33749563875 scopus 로고    scopus 로고
    • On chaos synchronization of fractional differential equations.
    • Yan, J.P; Li, C.P. On chaos synchronization of fractional differential equations. Chaos Soliton. Fract. 2007, 32, 725-735.
    • (2007) Chaos Soliton. Fract. , vol.32 , pp. 725-735
    • Yan, J.P.1    Li, C.P.2
  • 53
    • 15544365138 scopus 로고    scopus 로고
    • Identification of fractional systems using an output-error technique.
    • Poinot, T.; Trigeassou, J.-C. Identification of fractional systems using an output-error technique. Nonlinear Dyn. 2004, 38, 133-154.
    • (2004) Nonlinear Dyn. , vol.38 , pp. 133-154
    • Poinot, T.1    Trigeassou, J.-C.2
  • 55
    • 47549092440 scopus 로고    scopus 로고
    • Identification of non-integer-order systems in frequency domain.
    • Lin, J.; Poinot, T.; Li, S.T.; Trigeassou, J.-C. Identification of non-integer-order systems in frequency domain. J. Control Theory Appl. 2008, 25, 517-520.
    • (2008) J. Control Theory Appl. , vol.25 , pp. 517-520
    • Lin, J.1    Poinot, T.2    Li, S.T.3    Trigeassou, J.-C.4
  • 56
    • 79957493884 scopus 로고    scopus 로고
    • Identifying digital and fractional transfer functions from a frequency response.
    • Valério, D.; Costa, J.S.D. Identifying digital and fractional transfer functions from a frequency response. Int. J. Control 2011, 84, 445-457.
    • (2011) Int. J. Control , vol.84 , pp. 445-457
    • Valério, D.1    Costa, J.S.D.2
  • 57
    • 0141996370 scopus 로고    scopus 로고
    • A method for modeling and simulation of fractional systems.
    • Poinot, T.; Trigeassou, J.-C. A method for modeling and simulation of fractional systems. Signal Process. 2003, 83, 2319-2333.
    • (2003) Signal Process. , vol.83 , pp. 2319-2333
    • Poinot, T.1    Trigeassou, J.-C.2
  • 58
    • 0141892685 scopus 로고    scopus 로고
    • Fractional-order system identification based on continuous order-distributions.
    • Hartley, T.T.; Lorenzo, C.F. Fractional-order system identification based on continuous order-distributions. Signal Process. 2003, 83, 2287-2300.
    • (2003) Signal Process. , vol.83 , pp. 2287-2300
    • Hartley, T.T.1    Lorenzo, C.F.2
  • 59
    • 0022152347 scopus 로고
    • Fractal dimension and fractional power frequency-dependent impedance of blocking electrodes.
    • Nyikos, L.; Pajkossy, T. Fractal dimension and fractional power frequency-dependent impedance of blocking electrodes. Electrochim. Acta 1985, 30, 1533-1540.
    • (1985) Electrochim. Acta , vol.30 , pp. 1533-1540
    • Nyikos, L.1    Pajkossy, T.2
  • 60
    • 84878375755 scopus 로고    scopus 로고
    • Optimization method of parameter identification
    • 1st ed.; Zhao, X.G., Yu, X.H., Eds.; National Defense Industry Press: Beijing, China
    • Liu, D.H.; Cai, Y.W.; Su, Y.Z.; Yi, Y.X. Optimization method of parameter identification. In System Identification and Its Application, 1st ed.; Zhao, X.G., Yu, X.H., Eds.; National Defense Industry Press: Beijing, China, 2010; Volume 1, pp. 101-106.
    • (2010) In System Identification and Its Application , vol.1 , pp. 101-106
    • Liu, D.H.1    Cai, Y.W.2    Su, Y.Z.3    Yi, Y.X.4
  • 61
    • 34250092221 scopus 로고
    • Genetic Algorithms and Machine Learning
    • Goldberg, D.E.; Holland, J.H. Genetic Algorithms and Machine Learning. Mach. Learn. 1988, 3, 95-99.
    • (1988) Mach. Learn. , vol.3 , pp. 95-99
    • Goldberg, D.E.1    Holland, J.H.2
  • 62
    • 0022559425 scopus 로고
    • Optimization of control parameters for genetic algorithms
    • Grefenstette, J.J. Optimization of control parameters for genetic algorithms. Syst. IEEE Trans. Man Cybern. 1986, 16, 122-128.
    • (1986) Syst. IEEE Trans. Man Cybern. , vol.16 , pp. 122-128
    • Grefenstette, J.J.1
  • 63
    • 0030707244 scopus 로고    scopus 로고
    • The gambler's ruin problem, genetic algorithms, and the sizing of populations. In Proceedings of the IEEE International Conference on Evolutionary Computation
    • MI, USA, 13-16 April 1997
    • Harik, G.; Cantú-Paz, E.; Goldberg, D.E.; Miller, B.L. The gambler's ruin problem, genetic algorithms, and the sizing of populations. In Proceedings of the IEEE International Conference on Evolutionary Computation, Ann Arbor, MI, USA, 13-16 April 1997; pp. 231-253.
    • Ann Arbor , pp. 231-253
    • Harik, G.1    Cantú-Paz, E.2    Goldberg, D.E.3    Miller, B.L.4
  • 64
    • 21444438033 scopus 로고    scopus 로고
    • Genetic algorithms, selection schemes, and the varying effects of noise
    • Miller, B.L.; Goldberg, D.E. Genetic algorithms, selection schemes, and the varying effects of noise. Evol. Comput.1996, 4, 113-131.
    • (1996) Evol. Comput. , vol.4 , pp. 113-131
    • Miller, B.L.1    Goldberg, D.E.2
  • 65
    • 25144437471 scopus 로고    scopus 로고
    • Time-domain implementati on of fractional order controllers
    • Valerio, D.; Costa, J.S.D. Time-domain implementati on of fractional order controllers. IEEE Proc. Control Theory Appl. 2005, 152,539-552.
    • (2005) IEEE Proc. Control Theory Appl. , vol.152 , pp. 539-552
    • Valerio, D.1    Costa, J.S.D.2
  • 66
    • 0003808336 scopus 로고    scopus 로고
    • Nonlinear System Identification: Input-Output Modeling Approach
    • Springer-Verlag: New York, NY, USA
    • Haber, R.; Keviczky, L. Nonlinear System Identification: Input-Output Modeling Approach; Springer-Verlag: New York, NY, USA, 1999.
    • (1999)
    • Haber, R.1    Keviczky, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.