@Article{JICS-12-220,
author = {Sakineh Bigom Mirassadi and Hojjat Ahsani Tehrani},
title = {Partial eigenvalue assignment in descriptor systems via derivative and propositional state feedback},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {12},
number = {3},
pages = {220--233},
abstract = { A  method  for  solving  the  descriptor  continuous-time  linear  system  is  focused.  For  easily,  it  is 
converted to two standard continuous-time linear systems by the definition of a derivative and  propositional 
state feedback. Then partial eigenvalue assignment is used for obtaining the derivative and propositional state 
feedbacks  and  solving  the  standard  systems.  In  partial  eigenvalue  assignment,  just  a  part  of  the  open  loop 
spectrums of two standard linear systems are reassigned, while leaving the rest of the spectrum invariant and 
for  reassigning,  similarity  transformation  is  used.  Using  partial  eigenvalue  assignment  is  easier  than  using 
eigenvalue  assignment.  Because  by  partial  eigenvalue  assignment,  size  of    matrices  and  state  and  input 
vectors are decreased and stability is kept, too. It is worthy to mention that eigenvalues of closed-loop matrix 
of original system, i.e., descriptor and second converted system are inverse of each other. Also concluding 
remarks and an algorithm are proposed to the descriptions be obvious. At the end, convergence of state and 
input vectors in the descriptor system to balance point (zero) are showed by figures in a numerical example. 
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22481.html}
}