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A new procedure to solve generalized Lyapunov equations

18th Mediterranean Conference on Control and Automation, MED'10, 2010
For stability analysis of discrete-time descriptor systems, various generalized Lyapunov equations have been proposed in the literature. However, positiveness of the solutions for these well known Lyapunov equations are not biunivocaly related to causal state trajectories that go to zero as the time goes to infinity, even under observability ...
Joao Y. Ishihara   +3 more
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Conditioning of the generalized Lyapunov and Riccati equations

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999
Local sensitivity analysis of the generalized continuous time Lyapunov and Riccati equations is presented. Linear perturbation bounds are obtained in terms of condition numbers.
openaire   +1 more source

Lyapunov‐type inequality to general second‐order elliptic equations

Mathematical Methods in the Applied Sciences
We establish Lyapunov‐type inequality for equations concerning general class of second‐order non‐symmetric elliptic operators with singular coefficients. Our approach is based on the probabilistic representation of solutions and stochastic calculus. We also discuss a Lyapunov‐type inequality for equations pertaining to second‐order symmetric operator ...
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New Lower Bounds of Solution of Generalized Lyapunov Equations

2012
This paper discusses further results for the solution bounds of the algebraic generalized Lyapunov equations (the GLE). Some new lower matrix bounds for the solutions of the GLE are derived by making use of linear algebraic techniques. It is shown that, from the obtained results, new lower solution bounds of the continuous and discrete Lyapunov ...
Chien-Hua Lee, Ping-Sung Liao
openaire   +1 more source

A Riemannian Method on Quotient Manifolds for Solving Generalized Lyapunov Equations

Journal of Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhenwei Huang, Wen Huang
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A new approximation algorithm for solving generalized Lyapunov matrix equations

Journal of Computational and Applied Mathematics, 2022
Mehdi Dehghan, Akbar Shirilord
exaly  

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