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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, 2003AbstractThe 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
2013ADI 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, 2002zbMATH 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, 1993Abstract 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 ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gradient-based neural networks for online solutions of coupled Lyapunov matrix equations
Neurocomputing, 2020Hui-Jie Sun, Ai-Guo Wu, Wan-Quan Liu
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Some Applications of the Lyapunov Matrix Equation
IMA Journal of Applied Mathematics, 1968Barnett, S., Storey, C.
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Extension of State Space and Lyapunov Matrices
IEEE Transactions on Automatic Control, 2021Alexey N Aliseyko
exaly
An iterative algorithm for discrete periodic Lyapunov matrix equations
at - Automatisierungstechnik, 2018Ai-Guo Wu, Wen-Xue Zhang, Ying Zhang
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On Minimising the Condition of a Lyapunov Matrix
Journal of the London Mathematical Society, 1968openaire +2 more sources

