Modeling and sensitivity analysis of neural networks
โ Scribed by D. Lamy
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 737 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0378-4754
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โฆ Synopsis
This paper investigates the use of neural networks for the identification of linear time invariant dynamical systems. Two classes of networks, namely the multilayer feedforward network and the recurrent network with linear neurons, are studied. A notation based on Kronecker product and vector-valued function of matrix is introduced for neural models. It permits to write a feedforward network as a one step ahead predictor used in parameter estimation. A special attention is devoted to system theory interpretation of neural models. Sensitivity analysis can be formulated using derivatives based on the above-mentioned notation.
๐ SIMILAR VOLUMES
A qualitative analysis is developed for continuous-time neural networks subjected to random pure structural variations. Simple algebraic conditions are established for both structural exponential stability of x = 0 of the neural network and for estimates of its domain of attraction. Bounds on motion
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