Journal ArticleDOI
Solutions to a family of matrix equations by using the Kronecker matrix polynomials
TLDR
It is found that the structure of the solutions is independent of the orders @f,@j and @ f, and can perform important functions in many analysis and design problems in linear systems.About:
This article is published in Applied Mathematics and Computation.The article was published on 2009-06-01. It has received 38 citations till now. The article focuses on the topics: Linear equation over a ring & Matrix (mathematics).read more
Citations
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Journal ArticleDOI
The general coupled matrix equations over generalized bisymmetric matrices
Mehdi Dehghan,Masoud Hajarian +1 more
TL;DR: In this paper, an iterative method to solve the generalized coupled matrix equations over generalized bisymmetric matrix groups was proposed, where the generalized (coupled) Lyapunov and Sylvester matrix equations as special cases were solved using the conjugate gradient method.
Journal ArticleDOI
An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
Mehdi Dehghan,Masoud Hajarian +1 more
TL;DR: In this paper, the generalized coupled Sylvester matrix equations over generalized bisymmetric matrix pair [X, Y ] were automatically determined by automatically determining the solvability of the generalized coupling Sylvesters matrix equations.
Journal ArticleDOI
Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
TL;DR: In this paper, a generalized centro-symmetric solution pair of generalized coupled Sylvester matrix equations (GCSY) is computed using the conjugate gradient method.
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Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations
Mehdi Dehghan,Masoud Hajarian +1 more
TL;DR: Two iterative algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of the Sylvester matrix equation A X + X B = C are proposed and it is proved that the first (second) algorithm converges to the Hermitshire reflexive (skew- hermitian) solution for any initial Hermitia reflexive matrix.
Journal ArticleDOI
Efficient iterative method for solving the second-order sylvester matrix equation EVF 2 -AVF-CV=BW
Mehdi Dehghan,Masoud Hajarian +1 more
TL;DR: In this paper, the authors proposed an iterative method to solve the second-order Sylvester matrix equation over unknown matrix pair [V, W], which does not depend on the Jordan form of the matrix F.
References
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Journal ArticleDOI
An introduction to observers
TL;DR: In this paper, the identity observer, a reduced-order observer, linear functional observers, stability properties, and dual observers are discussed, along with the special topics of identity observer and reduced order observer.
Journal ArticleDOI
Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
Feng Ding,Peter X. Liu,Jie Ding +2 more
TL;DR: It is proved that the iterative solution always converges to the exact solution for any initial values.
Journal ArticleDOI
Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems
TL;DR: A complete parametric approach for eigenstructure assignment in linear systems via state feedback is proposed, and two new algorithms are presented.
Journal ArticleDOI
A new solution to the generalized Sylvester matrix equation AV-EVF=BW
Bin Zhou,Guang-Ren Duan +1 more
TL;DR: This note deals with the problem of solving the generalized Sylvester matrix equation AV-EVF=BW, with F being an arbitrary matrix, and provides complete general parametric expressions for the matrices V and W satisfying this equation.
Journal ArticleDOI
Numerically robust pole assignment for second-order systems
Eric Chu,Biswa Nath Datta +1 more
TL;DR: In this paper, two new methods for solution of the eigenvalue assignment problem associated with the second-order control system were proposed, which construct feedback matrices F 1 and F 2 such that the closed-loop quadratic pencil has a desired set of eigenvalues and the associated eigenvectors are well conditioned.
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