The Use of Deflation in Eigenstructure Assignment of Descriptor Systems

1990 ◽  
Author(s):  
George Miminis
Keyword(s):  
Descriptor Systems ◽  
Eigenstructure Assignment

On Eigenvectors and Generalized Eigenvectors in Multi-Variable Descriptor Control Systems

1996 ◽  
Vol 210 (3) ◽  
pp. 183-188
Author(s):  
G P Liu ◽  
R J Patton
Keyword(s):  
Control Systems ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Eigenstructure Assignment ◽  
Singular Matrix ◽  
Linearly Independent ◽  
Generalized Eigenvectors

This paper is concerned with an eigenvector problem in multi-variable descriptor control systems. It proves that the eigenvectors and generalized eigenvectors premultiplied by the singular matrix E of the descriptor system as well as the eigenvectors and the generalized eigenvectors, which play a very important role in the design of multi-variable descriptor systems via eigenstructure assignment, are linearly independent.

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