On computing the H∞-norm of a polynomial matrix fraction

2001 ◽  
Author(s):  
Didier Henrion ◽  
Michael Sebek ◽  
Martin Hromcik
Keyword(s):  
Polynomial Matrix ◽  
Matrix Fraction

Blind identification of polynomial matrix fraction for disturbance rejection

2012 ◽  
Vol 45 (13) ◽  
pp. 69-74
Author(s):  
Daisuke Tanaka ◽  
Takuya Hirotani ◽  
Kenji Sugimoto
Keyword(s):  
Disturbance Rejection ◽  
Polynomial Matrix ◽  
Blind Identification ◽  
Matrix Fraction

scholarly journals Solving systems of matrix equations of the second degree

2021 ◽  
pp. 52-56
Author(s):  
Anastasiya Nedashkovska
Keyword(s):  
Optimization Problems ◽  
Polynomial Matrix ◽  
Theoretical Calculations ◽  
System Optimization ◽  
Matrix Equations ◽  
Algebraic Equations ◽  
Real Numbers ◽  
Universal Approach ◽  
Matrix Fraction ◽  
Second Degree

Matrix equations and systems of matrix equations are widely used in control system optimization problems. However, the methods for their solving are developed only for the most popular matrix equations – Riccati and Lyapunov equations, and there is no universal approach for solving problems of this class. This paper summarizes the previously considered method of solving systems of algebraic equations over a field of real numbers [1] and proposes a scheme for systems of polynomial matrix equations of the second degree with many unknowns. A recurrent formula for fractionalization a solution into a continued matrix fraction is also given. The convergence of the proposed method is investigated. The results of numerical experiments that confirm the validity of theoretical calculations and the effectiveness of the proposed scheme are presented.

Polynomial matrix fraction P(s)Q −1(s)R(s)

1987 ◽  
Vol 46 (3) ◽  
pp. 833-840
Author(s):  
SHOU-YUAN ZHANG
Keyword(s):  
Polynomial Matrix ◽  
Matrix Fraction

Quaternion polynomial matrix diagonalization for the separation of polarized convolutive mixture

2010 ◽  
Vol 90 (7) ◽  
pp. 2219-2231 ◽  
Author(s):  
Giovanni M. Menanno ◽  
Nicolas Le Bihan
Keyword(s):  
Polynomial Matrix ◽  
Convolutive Mixture ◽  
Matrix Diagonalization
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