Publication: A direct method for the inversion of physical systems
Program
KU-Authors
KU Authors
Co-Authors
Caudill, Lester F.
Rabitz, Herschel
Publication Date
Language
Type
Embargo Status
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
A general algorithm for the direct inversion of data to yield unknown functions entering physical systems is presented. of particular interest are linear and non-linear dynamical systems. The potential broad applicability of this method is examined in the context of a number of coefficient-recovery problems for partial differential equations. Stability issues are addressed and a stabilization approach, based on inverse asymptotic tracking, is proposed. Numerical examples for a simple illustration are presented, demonstrating the effectiveness of the algorithm.
Source
Publisher
Institute of Physics (IOP) Publishing
Subject
Mathematics, applied, Physics, mathematical
Citation
Has Part
Source
Inverse Problems
Book Series Title
Edition
DOI
10.1088/0266-5611/10/5/007