Isospectral systems and its application in partial pole assignment problem
| Autor: | Xiaobin Mao, Weitai Liang |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Class (set theory)
Differential equation Spectrum (functional analysis) Mathematical analysis 010103 numerical & computational mathematics Mathematics::Spectral Theory 01 natural sciences Electronic mail Algebra Isospectral Symmetric matrix 0101 mathematics Assignment problem Eigenvalues and eigenvectors Mathematics |
| Zdroj: | 2017 36th Chinese Control Conference (CCC). |
| DOI: | 10.23919/chicc.2017.8027321 |
| Popis: | In this paper, we construct a class of isospectral vibrating systems from partial explicit spectrum and partial implicit spectrum. It extends the work of P. Lancaster in which the isospectral vibrating systems are constructed only from complete explicit data or complete implicit data. The result can be applied to solve the partial pole assignment problem for the second-order system, such that the unwanted eigenvalues are moved to prescribed values and the wanted eigenvalues remain unchanged. Numerical example shows that the method is efficient. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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