**System Identification for Determining Material Properties**
**of an Inclusion in a finite body using PP-TSVD**
**Byung Kyu Ahn**
**ABSTRACT**
It is reported that the successful applications of L_{2} regularization to the SI are possible since the solutions are smooth and continuous. In case of identifying the inclusion with discontinuous boundaries, L_{2} regularization is difficult to estimate the location and level of the inclusion due to these characteristics of L_{2} regularization. For overcoming these defects of L_{2} regularization, PP-TSVD with L_{1} regularity technique is introduced. PP-TSVD redemies the instability of SI due to sparseness of measurements and measurement noise and is applicable to SI problems with piecewise-continuous solutions.
The discretized method using integration in boundary domain is proposed for applying PP-TSVD to the 2-D F.E.Model and through this method, the material properties of the unknown inclusion is estimated.
The characteristics of results using PP-TSVD with L_{1} regularity technique is verified by three examples and it is confirmed that PP-TSVD is more effective than L_{2} regularization with respect to estimating system parameters with piecewise-discontinuous solutions.
**Key Word**
PP-TSVD, L_{1} norm, L_{1} regularity condition, truncation number, derivative operator, sensitivity, SVD(Singular Value Decomposition)
[Full Text in Korean (PDF:1,096K)]
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