%0 Journal Article
%T Simplified Methods for Eigenvalue  Assignment
%A Omar Moh¡¯d El-Basheer El-Ghezawi
%J Advances in Pure Mathematics
%P 383-389
%@ 2160-0384
%D 2015
%I Scientific Research Publishing
%R 10.4236/apm.2015.57037
%X <p style=\"text-align:justify;\">
	<span style=\"font-family:Verdana;font-size:12px;\"></span><span style=\"font-size:10.0pt;font-family:&quot;\"><span style=\"font-family:Verdana;font-size:12px;\">A state feedback
method of reduced order for eigenvalue assignment is developed in this paper.
It offers immediate assignment of </span><i><span style=\"font-family:Verdana;font-size:12px;\">m</span></i><span style=\"font-family:Verdana;font-size:12px;\"> eigenvalues,
with freedom to assign the remaining </span><i><span style=\"font-family:Verdana;font-size:12px;\">n-m</span></i><span style=\"font-family:Verdana;font-size:12px;\"> 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.&nbsp;</span></span>
</p>
%K Eigenvalue Assignment
%K Pole Placement
%K Recursive Methods
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56793