Identification of parameters in distributed parameter systems by regularization. (English) Zbl 0563.93018

Kravaris, Costas; Seinfeld, John H.

SIAM J. Control Optimization 23, 217-241 (1985).

The authors investigate the parameter identification problem for distributed parameter systems. The problem of parameter identification in distributed parameter systems from noisy data is both nonlinear and ill- posed. They develop the concept of regularization, which is widely used in solving linear Fredholm integral equations, for the identification of parameters in distributed parameter systems. They first present a general regularization identification theory and then apply it 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.

Reviewer: T.Kobayashi

MSC:

93B30	System identification
93C05	Linear systems in control theory
93C20	Control/observation systems governed by partial differential equations
35R25	Ill-posed problems for PDEs
93C99	Model systems in control theory
35R30	Inverse problems for PDEs
35K20	Initial-boundary value problems for second-order parabolic equations

Keywords:

parameter identification; distributed parameter systems; regularization; parabolic systems