Parameter Identification for Nonlinear Abstract Cauchy Problems Using Quasilinearization

Autor:	R. D. Spies, Terry L. Herdman, Pedro Morin
Rok vydání:	2002
Předmět:	Identification (information) Nonlinear system Control and Optimization Cauchy's convergence test Sensitivity equation Applied Mathematics Convergence (routing) Theory of computation Mathematical analysis Cauchy distribution Management Science and Operations Research Mathematics Term (time)
Zdroj:	Journal of Optimization Theory and Applications. 113:227-250
ISSN:	1573-2878 0022-3239
DOI:	10.1023/a:1014874707485
Popis:	A quasilinearization approach to parameter identification in nonlinear abstract Cauchy problems in which the parameter appears in the nonlinear term, is presented. This approach has two main advantages over the classical one: it is much more intuitive and the derivation of the algorithm is done without need of the sensitivity equations on which classical quasilinearization is based. Sufficient conditions for the convergence of the algorithm are derived in terms of the regularity of the solutions with respect to the parameters. A comparison with the standard approach is presented and an application is included in which the nonphysical parameters in a mathematical model for shape memory alloys are estimated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5a50484bd7e1a4e14637bfa64b0924d https://doi.org/10.1023/a:1014874707485 Zobrazit plný text záznamu Full text from SpringerLink