论文信息 - On representation and approximation of nonlinear systems - 字舞流文

On representation and approximation of nonlinear systems

In a discrete-time framework any nonlinear system can be approximated with arbitrarily small error by a Volterra series and also by a “sandwich” system.

G. Palm | G. Palm

[1] J. Dieudonne. Foundations of Modern Analysis , 1969 .

[2] G. Lorentz. Approximation of Functions , 1966 .

[3] T. Poggio,et al. Stochastic Identification Methods for Nonlinear Systems: An Extension of the Wiener Theory , 1978 .

[4] G. Palm. On representation and approximation of nonlinear systems , 1978, Biological Cybernetics.

[5] Saburo Muroga,et al. Threshold logic and its applications , 1971 .

[6] E. Hille. Functional Analysis And Semi-Groups , 1948 .

[7] T. Poggio,et al. The Volterra Representation and the Wiener Expansion: Validity and Pitfalls , 1977 .

[8] David A. Sprecher,et al. An improvement in the superposition theorem of Kolmogorov , 1972 .