Results 281 to 290 of about 247,997 (332)

The Hankel Matrix Solution to a System of Quaternion Matrix Equations

2020 Chinese Control And Decision Conference (CCDC), 2020
The solution of matrix equations and the optimal approximation problem play an important role in linear optimal control, parameter identification, structural vibration, aviation and other fields. Hankel matrix is kind of matrix with special structure and wide application. In this paper, the problem of Hankel constraint solution to the system [AXB CXD]=[
Yun Wang, Jingpin Huang, Hao Xiong, Shanshan Zhang   +3 more
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Periodic Systems: Controllability and the Matrix Riccati Equation

SIAM Journal on Control and Optimization, 1978
Referring to recently published results, a few problems apparently playing a basic role in periodic control theory are discussed in this paper. Specifically, the problems dealt with are the controllability of linear periodic systems and the existence of periodic solutions for periodic matrix Riccati equations.
Bittanti, S., Guardabassi, G., Maffezzoni, C., Silverman, L.   +3 more
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Systems of coupled generalized Sylvester matrix equations

Automatica, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing-Wen Wang 0001, Zhuo-Heng He
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Matrix Riccati equations and systems structure

1973 IEEE Conference on Decision and Control including the 12th Symposium on Adaptive Processes, 1973
A new algorithm for solving discrete time linear-quadratic control problems is given. This algorithm is shown to be a special case of the "structure algorithm" used for characterizing properties of linear systems. It is also shown to be related to the Chandrasekhar-type equations recently introduced by Kailath.
H. Payne, L. Silverman
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A system of equations with a tridiagonal coefficient matrix

Applied Mathematics and Computation, 2004
The goal of the paper is to show that for a linear system of equations \(AX=C\), where the coefficient matrix \(A\) is tridiagonal, the algorithms used by \textit{M. El-Mikkawy} in [Appl. Math. Comput. 139, No. 2--3, 503--511 (2003; Zbl 1078.65533)] can be improved in the case when \(A\) is invertible, the system being equivalent with a linear system ...
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Reflexive solution to a system of matrix equations

Journal of Shanghai University (English Edition), 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Haixia, Wang, Qingwen
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A system of matrix equations and its applications

Science China Mathematics, 2013
For the following system of matrix equations, \(A_1X = {C_1}\), \({A_2}Y = {C_2}\), \(Y{B_2} = {D_2}\), \(Y = {Y^ * }\), \({A_3}Z = {C_3}\), \(Z{B_3} = {D_3}\), \(Z = {Z^ * }\), \({B_4}X + {({B_4}X)^ * } + {C_4}YC_4^ * + {D_4}ZD_4^ * = {A_4}\), solvability conditions are proved, a general solution is formulated, and the maximal and minimal ranks and ...
Wang, QingWen, He, ZhuoHeng
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Solution of the Lyapunov matrix equation for a system with a time‐dependent stiffness matrix

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2003
AbstractThe stability of the linearized model of a rotor system with non‐symmetric strain and axial loads is investigated. Since we are using a fixed reference system, the differential equations have the advantage to be free of Coriolis and centrifugal forces.
Pommer, Christian, Kliem, Wolfhard
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Constrained two-sided coupled Sylvester-type quaternion matrix equations

at - Automatisierungstechnik, 2019
In this paper, we consider the solvability of a system of constrained two-sided coupled generalized Sylvester quaternion matrix equations. Some necessary and sufficient conditions for the existence of solutions to this system are derived in terms of the ...
Qing-Wen Wang, Zhuo-Heng He, Yang Zhang
semanticscholar   +1 more source

A Note on Kronecker Matrix Products and Matrix Equation Systems

SIAM Journal on Applied Mathematics, 1969
where B' is the transpose of B. It has been shown that Definition 1 and Theorem 1 can fruitfully be applied to problems of matrix differentiation [2]. In this note it will be shown that they can be applied to a more general class of linear matrix equations, including linear matrix differential equations.
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