Non-integer order integration by using neural networks

ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings

Volumn 3, Issue , 2001, Pages 688-691

  Abbisso, S ^a   Caponetto, R ^a   Diamante, O ^a   Fortuna, L ^b   Porto, D ^a  

^a STMICROELECTRONICS   (Italy)

^b UNIVERSITY OF CATANIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT DESIGNS; INTEGRATION ORDERS; MODELIZATION; MULTI LAYER PERCEPTRON; NEURAL NETWORK MODEL;

CHAOTIC SYSTEMS; INTEGRATED CIRCUIT MANUFACTURE; NEURAL NETWORKS; ALGORITHMS; APPROXIMATION THEORY; CAPACITORS; FREQUENCY DOMAIN ANALYSIS; INTEGRATION; MATHEMATICAL MODELS; MULTILAYER NEURAL NETWORKS; TIME DOMAIN ANALYSIS; TIME VARYING NETWORKS; TRANSFER FUNCTIONS;

INTEGRATION; NONLINEAR SYSTEMS;

NON INTEGER ORDER SYSTEMS;

EID: 0035008005     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISCAS.2001.921404     Document Type: Conference Paper

References (15)

1. P. Arena, R. Caponetto, L. Fortuna, D. Porto "Non Linear Non Integer Order Systems - An Introduction", Series A-vol. 38 Nonlinear Science, World Scientific 2000.
2. A. Charef, H. H. Sun, Y. Y. Tsao, B. Onaral, "Fractal Systems as Represented by Singularity Function", IEEE Trans, on Aut. Com., Vol. 37, no. 9, pp 1465-1470, Sept. 1992. (Pubitemid 23555835)
3. G. J. Maskarinec and B. Onaral, "Time domain characteristics of rational systems with scale invariant frequency response", IEEE Trans, on Circ. and Syst.-1, vol. 43, no. 5, May 1996.
4. T. T. Hartley, C. F. Lorenzo, H. K. Qammer, "Chaos in a Fractional Order Chua's System", IEEE Trans, on Circ. and Syst.-1, vol. 42, no. 8, August 1995.
5. P. Arena, R. Caponetto, L. Fortuna, D. Porto, "Bifurcation and Chaos in Non Integer Order Cellular Neural Networks", Int. J. Of Bifurcation and Chaos, Vol. 8, No7, July 1998.
6. P. Arena, R. Caponetto, L. Fortuna, D. Porto, "Chaos in Fractional Order Duffing System", Proceedings of the European Conference on Circuit Theory and Design (ECCTD'97), Budapest, Hungary, September 1997, pp. 1259-1272
7. P. Arena, L. Fortuna, D. Porto "Fractional Integration via Time-Varying Systems", 1998 International Symposium on Nonlinear Theory and its Applications (NOLTA'98), Le Regent, Switzerland, September 1998 pp. 1125-1127
8. M. S. Keshner, "1/f Noise", Proc. of the IEEE, vol. 70, no. 3, pp. 212-218, March 1982.
9. S. H. Liu, "Fractal Model for the AC Response of a Rough Interface", Phys. Rev. Lett., Vol. 55, no. 5, pp. 529-532, July 1985.
10. K. B. Oldham, J. Spanier, "Fractional Calculus", Academic Press, N. Y. 1974.
11. B. Ross, Editor, "Fractional Calculus and its Applications", Berlin: Springer-Verlag, 1975.
12. W. T. Miller III. R. S. Sutton, P. J. Werbos, "Neural Networks for Control", The MIT Press, Cambridge, Massachussets, London, England, 1990.
13. A. Oustaloup, "Systemes asservis lineaires d'ordre fractionnaire", Masson, Paris, 1983.
14. μ - Controllers". IEEE Transactions on Automatic Control, vol. 44, no. 1, January 1999.
15. L. J. Kocarev and T. Roska. " Dynamics of the Lorenz equation and Chua's equation: a tutorial." Chua circuit: a paradigm for chaos R. N. Madan vol. I.