Identification of distributed parameter systems with pointwise constraints on the parameters

DOI10.1016/0022-247X(88)90100-XzbMath0657.93017MaRDI QIDQ1111499

John H. Seinfeld, Wenhuan Yu

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

noisy dataTikhonov regularizationparabolic equationsspatially varying parameters

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Related Items (2)

Necessary conditions for optimality in the identification of elliptic systems with parameter constraints ⋮ A quasi-Newton method for estimating the parameter in a nonlinear hyperbolic system

Cites Work

• An iterative numerical algorithm for solving multi-parameter inverse problems of evolutional partial differential equations
• Estimation of two-phase petroleum reservoir properties by regularization
• Lectures on optimization - theory and algorithms. Notes by M. K. V. Murthy
• Identification of spatially varying parameters in distributed parameter systems by discrete regularization
• Identification of parabolic distributed parameter systems by regularization with differential operators
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• Identification of Parameters in Distributed Parameter Systems by Regularization
• An Iterative Algorithm for Solving Inverse Problems of Two-Dimensional Diffusion Equations
• Estimation of variable coefficients in parabolic distributed systems
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• An Approximation Theory for Nonlinear Partial Differential Equations with Applications to Identification and Control
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