Identification of nonlinear discrete-time systems using raised-cosine radial basis function networks

References

• Chen , S and Billings , SA . 1992 . Neural networks for nonlinear dynamic system modelling and identification . International Journal of Control , 56 : 319 – 346 .
   Web of Science ®Google Scholar
• Chen , S , Billings , SA and Grant , PM . 1990 . Nonlinear system identification using neural networks . International Journal of Control , 51 : 1191 – 1214 .
   Web of Science ®Google Scholar
• Chen , S , Billings , SA and Grant , PM . 1992 . Recursive hybrid algorithm for non-linear system identification using radial basis function networks . International Journal of Control , 55 : 1051 – 1070 .
   Web of Science ®Google Scholar
• Chen , S-C and Chen , W-L . 2001 . Adaptive radial basis function neural network control with variable variance parameters . International Journal of Systems Science , 32 : 413 – 424 .
   Web of Science ®Google Scholar
• Duchon J 1977 Splines Minimizing Rotation-Invariant Semi-Norms in Sobelev Spaces New York Springer
   Google Scholar
• Fang , Y and Chow , TWS . 2000 . Synthesis of the sliding-mode neural network controller for unknown nonlinear discrete-time systems . International Journal of Systems Science , 31 : 401 – 408 .
   Web of Science ®Google Scholar
• Gorinevski , D . 1996 . On the persistency of excitation in radial basis function network identification of nonlinear systems . IEEE Transactions on Neural Networks , 6 : 1237 – 1244 .
   Web of Science ®Google Scholar
• Hardy , RL . 1971 . Multiquadratic equations of tomography and other irregular surfaces . Journal of Geophysical Research , 76 : 1905 – 1915 .
   Web of Science ®Google Scholar
• Hernandez , E and Arkun , Y . 1996 . Stability of nonlinear polynomial ARMA models and their inverse . International Journal of Control , 63 : 885 – 906 .
   Web of Science ®Google Scholar
• Jaffe , DA and Smith , JO . 1983 . Extensions of the Karplus–Strong plucked-string algorithm . Computer Music Journal , 7 : 56 – 69 .
   Web of Science ®Google Scholar
• Kadirkamanathan , V and Niranjan , M . 1993 . A function estimation approach to sequential learning with neural network . Neural Computation , 5 : 954 – 975 .
   Web of Science ®Google Scholar
• Lee , CC and Chung , PC . 1999 . Robust radial basis function neural networks . IEEE Transactions of Systems, Man and Cybernetics , 29 : 674 – 685 .
   PubMed Web of Science ®Google Scholar
• Liu , GP , Kadirkamanathan , V and Billings , SA . 1999 . Neural network-based variable structure control for nonlinear discrete systems . International Journal of Systems Science , 30 : 1153 – 1160 .
   Web of Science ®Google Scholar
• Moody , J and Darken , CJ . 1989 . Fast learning in network of locally-tuned processing units . Neural Computation , 1 : 281 – 294 .
   Web of Science ®Google Scholar
• Narendra , KS and Parthasarathy , K . 1990 . Identification and control of dynamic systems using neural networks . IEEE Transactions on Neural Networks , 1 : 4 – 27 .
   PubMedGoogle Scholar
• Platt , JC . 1991 . A resource allocating network for function interpolation . Neural Computation , 3 : 213 – 225 .
   PubMed Web of Science ®Google Scholar
• Poggio , T and Girosi , F . 1990 . Networks for approximation and learning . Proceedings of the IEEE , 78 : 1481 – 1497 .
   Web of Science ®Google Scholar
• Powell MJD 1987 Radial basis functions approximations to polynomials Proceedings of the 12th Biennial Numerical Analysis Conference Dundee pp. 223–241
   Google Scholar
• Schagen , IP . 1986 . Sequential exploration of unknown multidimensional functions as an aid to optimization . Numerical Analysis , 4 : 337 – 347 .
   Web of Science ®Google Scholar
• Schilling , RJ , Carroll , JJ and Al-Ajlouni , AF . 2001 . Approximation of nonlinear systems with radial basis function neural networks . IEEE Transactions on Neural Networks , 12 : 1 – 15 .
   PubMed Web of Science ®Google Scholar
• Steiglitz K 1996 A Digital Signal Processing Primer with Applications to Digital Audio and Computer Music Menlo Park CA Addison-Wesley
   Google Scholar
• Widrow B Stearns SD 1985 Adaptive Signal Processing Englewood Cliffs NJ Prentice-Hall
   Google Scholar
• Yingwei , L , Sundararajan , N and Saratchandran , P . 1997 . Identification of time-varying nonlinear systems using minimal radial basis function neural networks . IEE Proceedings Control Theory and Applications , 144 : 202 – 208 .
   Google Scholar