Simplified Methods for Eigenvalue Assignment

DOI: 10.4236/apm.2015.57037   PDF   HTML   XML   3,688 Downloads   4,342 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. 

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

Conflicts of Interest

The authors declare no conflicts of interest.

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