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An approximation theory for the identification of nonlinear distributed parameter systemsAn abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators (satisfying a mild continuous dependence condition with respect to the unknown parameters to be identified) are treated. Convergence of Galerkin approximations and the corresponding solutions of finite dimensional approximating identification problems to a solution of the original finite dimensional identification problem is demonstrated using the theory of nonlinear evolution systems and a nonlinear analog of the Trotter-Kato appproximation result for semigroups of bounded linear operators. The nonlinear theory developed here is shown to subsume an existing linear theory as a special case. It is also shown to be applicable to a broad class of nonlinear elliptic operators and the corresponding nonlinear parabolic partial differential equations to which they lead. An application of the theory to a quasilinear model for heat conduction or mass transfer is discussed.
Document ID
19900044037
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Banks, H. T.
(Brown University Providence, RI, United States)
Reich, Simeon
(Southern California, University Los Angeles, CA; Technion - Israel Institute of Technology, Haifa, United States)
Rosen, I. G.
(Southern California, University Los Angeles, CA, United States)
Date Acquired
August 14, 2013
Publication Date
May 1, 1990
Publication Information
Publication: SIAM Journal on Control and Optimization
Volume: 28
ISSN: 0363-0129
Subject Category
Cybernetics
Accession Number
90A31092
Funding Number(s)
CONTRACT_GRANT: AF-AFOSR-84-0398
CONTRACT_GRANT: F49620-86-C-0111
CONTRACT_GRANT: NAG1-517
CONTRACT_GRANT: AF-AFOSR-84-0393
CONTRACT_GRANT: NSF MCS-85-04316
CONTRACT_GRANT: AF-AFOSR-87-0356
CONTRACT_GRANT: NAS1-18107
Distribution Limits
Public
Copyright
Other

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