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Published March 1985 | Published
Journal Article Open

Identification of Parameters in Distributed Parameter Systems by Regularization


Identification of spatially varying parameters in distributed parameter systems from noisy data is an ill-posed problem. The concept of regularization, widely used in solving linear Fredholm integral equations, is developed for the identification of parameters in distributed parameter systems. A general regularization identification theory is first presented and then applied to the identification of parabolic systems. The performance of the regularization identification method is evaluated by numerical experiments on the identification of a spatially varying diffusivity in the diffusion equation.

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© 1985 Society for Industrial and Applied Mathematics.

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October 18, 2023