PWL approximation of nonlinear dynamical systems, part II: Identification issues

Journal of Physics: Conference Series

Volumn 22, Issue 1, 2005, Pages 30-42

  De Feo, O ^a   Storace, M ^b  

^a EPFL   (Switzerland)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 25844446024     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/22/1/002     Document Type: Article

References (25)

1. Abarbanel H, Brown R, Sidorowich J and Tsimring L 1993 The analysis of observed chaotic data in physical systems Rev. Modern Phys. 65 1331
2. Casdagli M, Eubank S, Farmer J and Gibson J 1991 State space reconstruction in the presence of noise Physica D 51 52
3. De Feo O 2003 Self-emergence of chaos in identifying irregular periodic behavior Chaos 13 1205
4. De Feo O 2004 Qualitative resonance of shil'nikov-like strange attractors, part I: Experimental evidence International J. Bifurcation Chaos 14 873
5. De Feo O 2004 Qualitative resonance of shil'nikov-like strange attractors, part II: Mathematical analysis International J. Bifurcation Chaos 14 893
6. De Feo O and Hasler M 2003 Modelling Diversity by Chaos and Classi.cation by Synchronization: Theory and Applications ed A Pikovsky and Yu Maistrenko (Dordrecht: Kluwer Academic Publishers) p 25-40
7. De Feo O, Maggio G and Kennedy M 2000 The Colpitts oscillator: Families of periodic solutions and their bifurcations Int. J. Bif. Chaos 10 935
8. De Feo O and Storace M Piecewise-linear, identification of nonlinear dynamical systems IEEE Trans. Circuits Systems-I: Regular Papers (submitted)
9. Gibson J, Farmer J, Casdagli M and Eubank S 1992 An analytic approach to practical state space reconstruction Physica D 57 1
10. Hegger P, Kantz H and Schreiber T 1999 Practical implementation of nonlinear time series methods: The TISEAN package CHAOS 9 413
11. Kantz H and Schreiber T 2003 Nonlinear Time Series Analysis (Cambridge, MA: Cambridge University Press)
12. Kuznetsov Y 1998 Elements of Applied Bifurcation Theory (New York: Springer-Verlag)
13. Maggio G, De Feo O and Kennedy M 1999 Nonlinear analysis of the Colpitts oscillator and applications to design IEEE Trans. Circuit Systems-I 46 1118
14. Packard N, Crutchfield J, Farmer J and Shaw R 1980 Geometry from a time series Phys. Rev. Lett. 45 712
15. Parodi M, Storace M and Julián P 2005 Synthesis of multiport resistors with piecewise-linear characteristics: a mixed-signal architecture International J. Circuit Theory Applications 33 (in press)
16. Roll J 2003 Local and piecewise affine approaches to system identification PhD thesis (Linköping, Sweden: Linköping University, Department of Electrical Engineering) SE-581 83
17. Roll J, Bemporad A and Ljung L 2004 identification of piecewise affine systems via mixed-integer programming Automatica 40 37
18. Ruelle D 1989 Chaotic Evolution and Strange Attractors: the Statistical Analysis of Time Series for Deterministic Nonlinear Systems (Cambridge, MA: Cambridge University Press)
19. Sjöberg J, Zhang Q, Ljung L, Benveniste A, Delyon B, Glorennec P, Hjalmarsson H and Juditsky A 1995 Nonlinear black-box modeling in system identification: a unified overview Automatica 31 1691
20. Sjöberg J, Zhang Q, Ljung L, Benveniste A, Delyon B, Glorennec P, Hjalmarsson H and Juditsky A 1995 Nonlinear black-box modeling in system identification: Mathematical foundations Automatica 31 1725
21. Storace M and De Feo O 2004 Piecewise-linear approximation of nonlinear dynamical systems IEEE Trans. Circuits Systems-I: Regular Papers 51 830
22. Storace M and De Feo O 2005 PWL approximation of nonlinear dynamical systems, Part-I: structural stability J. Phys.: Conf. Ser. 22 208
23. Storace M and Parodi M 2005 Towards analog implementations of PWL two-dimensional non-linear functions International J. Circuit Theory Applications 33 (in press)
24. Takens F 1981 Detecting Strange Attractors in Fluid Turbulence ed D A Rand and L S Young (Berlin: Springer) p 366 (Lecture Notes in Mathematics vol 898)
25. Yule G 1927 On a method for investigating periodicites in disturbed series with special reference to Wolfes sunspot number Phil. Trans. R. Soc. London A 226 267