A procedure for the computation of accurate PWL approximations of non-linear dynamical systems

International Journal of Circuit Theory and Applications

Volumn 34, Issue 2, 2006, Pages 237-248

  Repetto, Lorenzo ^a   Parodi, Mauro ^a   Storace, Marco ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

Dynamical systems; Optimization; PWL approximation; Variational methods

Indexed keywords

APPROXIMATION THEORY; CIRCUIT THEORY; COMPUTATION THEORY; NETWORKS (CIRCUITS); PARAMETER ESTIMATION; SYSTEMS ANALYSIS;

DYNAMICAL SYSTEMS; LIMIT CYCLES; PWL APPROXIMATION; VARIATIONAL METHODS;

PIECEWISE LINEAR TECHNIQUES;

EID: 33645312680     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.355     Document Type: Article

References (14)

1. Julian P, Desages A, Agamennoni O. High-level canonical piecewise linear representation using a simplicial partition. IEEE Transactions on Circuits and Systems - I 1999; 46:463-480.
2. Julián P, Desages A, D'Amico B, Orthonormal high level canonical PWL functions with applications to model reduction. IEEE Transactions on Circuits and Systems - I 2000; 47:702-712.
3. Storace M, Repetto L, Parodi M. A method for the approximate synthesis of cellular nonlinear networks - part 1: circuit definition. International Journal of Circuit Theory and Applications 2003; 31:277-297.
4. Repetto L, Storace M, Parodi M. A method for the approximate synthesis of cellular nonlinear networks - part 2: circuit reduction. International Journal of Circuit Theory and Applications 2003; 31:299-313.
5. Storace M, Parodi M. Towards analog implementations of PWL two-dimensional nonlinear functions. International Journal of Circuit Theory and Applications 2005; 33:147-160.
6. Parodi M, Storace M, Julián P. Synthesis of multiport resistors with piecewise-linear characteristics: a mixed-signal architecture. International Journal of Circuit Theory and Applications 2005; 33:307-319.
7. Storace M, De Feo O. Piecewise-linear approximation of nonlinear dynamical systems. IEEE Transactions on Circuits and Systems - I: Regular Papers 2004; 51:830-842.
8. Storace M, De Feo O. PWL approximation of nonlinear dynamical systems, part-I: structural stability. Journal of Physics: Conference Series 2005; 22:208-221.
9. De Feo O, Storace M. PWL approximation of nonlinear dynamical systems, part-II: identification issues. Journal of Physics: Conference Series 2005; 22:30-42.
10. Repetto L. A piecewise-linear approach to approximate circuit syntheses of nonlinear systems. Ph.D. Thesis, Biophysical and Electronic Engineering Department, University of Genoa, Geneva, Italy, 2004, http://dibemail.dibe. unige.it/department/ncas/REPETTO/Thesis_C.pdf
11. Bergami M, Bizzarri F, Carlevaro A, Storace M, Parodi M. Structurally stable PWL approximation of a simple dynamical system. In Proceedings of the International Symposium on Nonlinear Theory and its Applications NOLTA2005, Bruges, Belgium, 18-21 October 2005; 54-57.
12. Kuznetsov Y. Elements of Applied Bifurcation Theory (2nd edn). Springer: New York, NY, 1998.
13. Storace M, Julián P, Parodi M. Synthesis of nonlinear multiport resistors: a PWL approach. IEEE Transactions on Circuits and Systems - I 2002; 49:1138-1149.
14. Roll J, Bemporad A, Ljung L. Identification of piecewise affine systems via mixed-integer programming. Automatica 2004; 40:37-50.