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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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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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Some Applications of the Lyapunov Matrix Equation
IMA Journal of Applied Mathematics, 1968Barnett, S., Storey, C.
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On Minimising the Condition of a Lyapunov Matrix
Journal of the London Mathematical Society, 1968openaire +2 more sources
Lyapunov Revisited: Variations on a Matrix Theme
1997In this expository note it is shown that a cone version of the Perron-Frobenius theorem implies various generalizations of a matrix form of Lyapunov’s famous theorem:
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On the solution of lyapunov's matrix equation
IEE-IERE Proceedings - India, 1970openaire +1 more source
A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function
Automatica, 2017Tae H Lee, Ju H Park
exaly
A note on the Lyapunov matrix equation
IEEE Transactions on Automatic Control, 1972openaire +1 more source