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Simplified Methods for Eigenvalue Assignment

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DOI: 10.4236/apm.2015.57037    3,421 Downloads   3,856 Views  

ABSTRACT

A state feedback method of reduced order for eigenvalue assignment is developed in this paper. It offers immediate assignment of m eigenvalues, with freedom to assign the remaining n-m eigenvalues. The method also enjoys a systematic one-step application in the case where the system has a square submatrix. Further simplification is also possible in certain cases. The method is shown to be applicable to uncontrollable systems, offering the simplest control law when having maximum uncontrollable eigenvalues. 

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

El-Ghezawi, O. (2015) Simplified Methods for Eigenvalue Assignment. Advances in Pure Mathematics, 5, 383-389. doi: 10.4236/apm.2015.57037.

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