论文信息 - On estimation of nonlinear systems by nonparametric techniques

On estimation of nonlinear systems by nonparametric techniques

In the paper the estimation of block oriented systems is discussed. Particular attention is devoted to memoryless and dynamical systems with cascade structure. An optimal model of a memoryless cascade system is given and estimated by the kernel regression estimate. Nonlinear dynamical systems of the Hammerstein and Wiener type are estimated by means of nonparametric techniques. The convergence of estimation procedures is investigated.<<ETX>>

Adam Krzyzak | Rolf Unbehauen | A. Krzyżak | R. Unbehauen

[1] Wlodzimierz Greblicki,et al. Nonparametric identification of Wiener systems , 1992, IEEE Trans. Inf. Theory.

[2] A. Krzyżak,et al. Distribution-Free Pointwise Consistency of Kernel Regression Estimate , 1984 .

[3] M. Korenberg. Identification of Nonlinear Systems , 1994 .

[4] I. W. Sandberg. Approximation theorems for discrete-time systems , 1991 .

[5] Stephen P. Banks,et al. Mathematical theories of nonlinear systems , 1988 .

[6] A. Krzyżak. Identification of discrete Hammerstein systems by the Fourier series regression estimate , 1989 .

[7] A. Krzyżak,et al. Non-parametric identification of a memoryless system with a cascade structure , 1979 .

[8] D. W. Scott,et al. Multivariate Density Estimation, Theory, Practice and Visualization , 1992 .

[9] M. C. Jones,et al. Spline Smoothing and Nonparametric Regression. , 1989 .

[10] Adam Krzy.zak. Identification of nonlinear block-oriented systems by the recursive kernel estimate , 1993 .

[11] W. Greblicki,et al. Identification of discrete Hammerstein systems using kernel regression estimates , 1986 .

[12] Adam Krzyzak,et al. On estimation of a class of nonlinear systems by the kernel regression estimate , 1990, IEEE Trans. Inf. Theory.

[13] Adam Krzyzak,et al. Global convergence of the recursive kernel regression estimates with applications in classification and nonlinear system estimation , 1992, IEEE Trans. Inf. Theory.