论文信息 - Identification Using Feedforward Networks

Identification Using Feedforward Networks

This paper is concerned with the identification of an unknown nonlinear dynamic system when only the inputs and outputs are accessible for measurement. Specifically we investigate the use of feedforward neural networks as models for the input-output behavior of such systems. Relying on the approximation capabilities of feedforward neural networks and under mild assumptions regarding the properties of the underlying nonlinear system, it is shown that there exists a feedforward network that for almost all inputs (an open and dense set) will display the input-output behavior of the system.

Kumpati S. Narendra | Asriel U. Levin | A. U. Levin | K. Narendra

[1] M. Golubitsky,et al. Stable mappings and their singularities , 1973 .

[2] D. Aeyels. GENERIC OBSERVABILITY OF DIFFERENTIABLE SYSTEMS , 1981 .

[3] F. Takens. Detecting strange attractors in turbulence , 1981 .

[4] I. J. Leontaritis,et al. Input-output parametric models for non-linear systems Part II: stochastic non-linear systems , 1985 .

[5] George Cybenko,et al. Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[6] Kurt Hornik,et al. Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[7] Kumpati S. Narendra,et al. Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[8] K S Narendra,et al. IDENTIFICATION AND CONTROL OF DYNAMIC SYSTEMS USING NEURAL NETWORKS , 1990 .

[9] Michael I. Jordan. Attractor dynamics and parallelism in a connectionist sequential machine , 1990 .

[10] A. U. Levin,et al. Stabilization of nonlinear dynamical systems using neural networks , 1992, [Proceedings 1992] IJCNN International Joint Conference on Neural Networks.

[11] A. U. Levin,et al. Neural networks in dynamical systems: a system theoretic approach , 1992 .

[12] A. U. Levin,et al. Recursive identification using feedforward neural networks , 1995 .

[13] Hrushikesh Narhar Mhaskar,et al. Neural Networks for Functional Approximation and System Identification , 1997, Neural Computation.