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Inverse Problems for Dynamic Systems: Classification and Solution Methods
Differential Equations Department, Dnepropetrovsk University, Gagarina, Ukraine
- 1 Differential Equations Department, Dnepropetrovsk University, Gagarina, Ukraine
Advances in Pure Mathematics·Volume 03 (2013)·Pages 390–393·Published 1 July 2013·DOI10.4236/apm.2013.34056
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Abstract
The inverse problems for motions of dynamic systems of which are described by system of the ordinary differential equations are examined. The classification of such type of inverse problems is given. It was shown that inverse problems can be divided into two types: synthesis inverse problems and inverse problems of measurement (recognition). Each type of inverse problems requires separate approach to statements and solution methods. The regularization method for obtaining of stable solution of inverse problems was suggested. In some cases, instead of recognition of inverse problems solution, the estimation of solution can be used. Within the framework of this approach, two practical inverse problems of measurement are considered.
KeywordsInverse ProblemsDynamic SystemsClassificationRegularizationEstimation
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