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Keywords
(6)
Canonical Form
Inner Product
Iterative Algorithm
Iterative Solution
Matrix Equation
Sylvester Matrix Equation
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Finite iterative solutions to coupled Sylvesterconjugate matrix equations
Finite iterative solutions to coupled Sylvesterconjugate matrix equations,10.1016/j.apm.2010.07.053,Applied Mathematical Modelling,AiGuo Wu,Bin Li,Y
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Finite iterative solutions to coupled Sylvesterconjugate matrix equations
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Citations: 3
)
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AiGuo Wu
,
Bin Li
,
Ying Zhang
,
GuangRen Duan
This paper is concerned with solutions to the socalled coupled Sylveterconjugate matrix equations, which include the generalized
Sylvester matrix equation
and coupled Lyapunov
matrix equation
as special cases. An
iterative algorithm
is constructed to solve this kind of matrix equations. By using the proposed algorithm, the existence of a solution to a coupled Sylvesterconjugate
matrix equation
can be determined automatically. When the considered
matrix equation
is consistent, it is proven by using a real
inner product
in complex matrix spaces as a tool that a solution can be obtained within finite iteration steps for any initial values in the absence of roundoff errors. Another feature of the proposed algorithm is that it can be implemented by using original coefficient matrices, and does not require to transform the coefficient matrices into any canonical forms. The algorithm is also generalized to solve a more general case. Two numerical examples are given to illustrate the effectiveness of the proposed methods.
Journal:
Applied Mathematical Modelling  APPL MATH MODEL
, vol. 35, no. 3, pp. 10651080, 2011
DOI:
10.1016/j.apm.2010.07.053
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Citation Context
(1)
...For example, the Sylvester matrix equations can be used for pole assignment, feedback design and fault detection [5], [6]; and the coupled Lyapunov matrix equations are encountered in stability analysis of linear jump systems with Markovian transitions [
7
]...
Li Xie
,
et al.
Iterative solutions for general coupled matrix equations with real coe...
References
(30)
Jump Linear Systems in Automatic Control
(
Citations: 404
)
M. Mariton
Published in 1990.
Parallel computation of the solutions of coupled algebraic Lyapunov equations
(
Citations: 10
)
I. Borno
Journal:
Automatica
, vol. 31, no. 9, pp. 13451347, 1995
A Generalized StateSpace Approach For The Additive Decomposition Of A Transfer Matrix
(
Citations: 24
)
Bo Kågström
,
Paul Van Dooren
Published in 1992.
Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
(
Citations: 40
)
B. Kagstrom
,
L. Westin
Journal:
IEEE Transactions on Automatic Control  IEEE TRANS AUTOMAT CONTR
, vol. 34, no. 7, pp. 745751, 1989
Stability Results for DiscreteTime Linear Systems with Markovian Jumping Parameters
(
Citations: 232
)
O. L. V. Costa
,
M. D. Fragoso
Journal:
Journal of Mathematical Analysis and Applications  J MATH ANAL APPL
, vol. 179, no. 1, pp. 154178, 1993
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Citations
(3)
Pressuredriven flow in open fluidic channels
Nicholas Davey
,
Adrian Neild
Journal:
Journal of Colloid and Interface Science  J COLLOID INTERFACE SCI
, vol. 357, no. 2, pp. 534540, 2011
Iterative solutions for general coupled matrix equations with real coefficients
Li Xie
,
Huizhong Yang
,
Yanjun Liu
,
Feng Ding
Published in 2011.
Cement: A two thousand year old nanocolloid
Francesca Ridi
,
Emiliano Fratini
,
Piero Baglioni
Journal:
Journal of Colloid and Interface Science  J COLLOID INTERFACE SCI
, vol. 357, no. 2, pp. 255264, 2011