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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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Lyapunov and Sylvester Matrix Equations

2013
ADI iterative solution of Lyapunov and Sylvester matrix equations may be enhanced by availability of a stable algorithm for similarity reduction of a full nonsymmetric real matrix to low bandwidth Hessenberg form. An efficient and seemingly stable method described here has been applied successfully to an assortment of test problems.
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Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations

Automatica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han Ho Choi, Tae-Yong Kuc
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Lyapunov's matrix equation with system matrix in companion form

International Journal of Control, 1993
Abstract A simple method for solving Lyapunov's matrix equation for linear continuous systems with the system matrix in companion form is proposed. The method involves the inversion of the Hurwitz matrix. A necessary and sufficient condition for the existence of a solution to the equation is also obtained.
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On the hyper-Lyapunov matrix inclusions

Linear Algebra and its Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some Applications of the Lyapunov Matrix Equation

IMA Journal of Applied Mathematics, 1968
Barnett, S., Storey, C.
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Extension of State Space and Lyapunov Matrices

IEEE Transactions on Automatic Control, 2021
Alexey N Aliseyko
exaly  

An iterative algorithm for discrete periodic Lyapunov matrix equations

at - Automatisierungstechnik, 2018
Ai-Guo Wu, Wen-Xue Zhang, Ying Zhang
semanticscholar   +1 more source

On Minimising the Condition of a Lyapunov Matrix

Journal of the London Mathematical Society, 1968
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