Parameter identification for an abstract Cauchy problem by quasilinearization

Brewer, Dennis W.; Burns, John A.; Cliff, Eugene M.

doi:10.1090/qam/1205932

Authors: Dennis W. Brewer, John A. Burns and Eugene M. Cliff
Journal: Quart. Appl. Math. 51 (1993), 1-22
MSC: Primary 93B30; Secondary 93C20
DOI: https://doi.org/10.1090/qam/1205932
MathSciNet review: MR1205932
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Abstract: A parameter identification problem is considered in the context of a linear abstract Cauchy problem with a parameter-dependent evolution operator. Conditions are investigated under which the gradient of the state with respect to a parameter possesses smoothness properties which lead to local convergence of an estimation algorithm based on quasilinearization. Numerical results are presented concerning estimation of unknown parameters in delay-differential equations.

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