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Zbl 0873.93026
Baumeister, J.; Scondo, W.; Demetriou, M.A.; Rosen, I.G.
On-line parameter estimation for infinite-dimensional dynamical systems. (English)
[J] SIAM J. Control Optimization 35, No.2, 678-713 (1997). ISSN 0363-0129; ISSN 1095-7138/e

The authors consider the problem of parameter estimation for infinite-dimensional, deterministic systems. The parameters can be constants or functions and the equations (abstract models for partial differential equations) can be linear or nonlinear. With a persistent excitation assumption, it is shown that the family of estimates converges to the true values. A finite-dimensional approximation is given and convergence is verified. Some numerical examples are given of a diffusion equation and a wave equation.
[T.Duncan (Lawrence)]

MSC 2000:: *93B30 System identification
93C25 Control systems in abstract spaces
93C20 Control systems governed by PDE

Keywords: identification; distributed parameter systems; estimation; infinite-dimensional systems; finite-dimensional approximation

Cited in: Zbl 1157.93534 Zbl 0995.65077

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