The Sensitivity of the Stable Lyapunov Equation
From MaRDI portal
Publication:3802987
DOI10.1137/0326018zbMath0655.93050OpenAlexW2136379984MaRDI QIDQ3802987
Publication date: 1988
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0326018
Sensitivity (robustness) (93B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Matrix equations and identities (15A24) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)
Related Items
An error estimate for matrix equations ⋮ Perturbation theory and backward error for \(AX - XB = C\) ⋮ Backward errors and small-sample condition estimation for ⋆-Sylveter equations ⋮ Trace norm bounds for stable Lyapunov operators ⋮ Reduced basis approximation of large scale parametric algebraic Riccati equations ⋮ On estimating the separation of two regular matrix pairs ⋮ Computational Methods for Linear Matrix Equations ⋮ Lower bound estimation for the separation of two matrices ⋮ Two results about the matrix exponential ⋮ Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic ⋮ A note on the Lyapunov equation ⋮ Dynamics of cellular homeostasis: Recovery time for a perturbation from equilibrium ⋮ Numerical solution of the Lyapunov equation by approximate power iteration ⋮ A new method for computing the stable invariant subspace of a real Hamiltonian matrix ⋮ A new version of successive approximations method for solving Sylvester matrix equations ⋮ An implicit deflation method for ill-conditioned Sylvester and Lyapunov equations ⋮ Approximate balanced-truncation model reduction for large scale systems† ⋮ SENSITIVITY OF SOME TENSOR EQUATIONS WITH EINSTEIN PRODUCT ⋮ Sensitivity analysis of the Lyapunov tensor equation ⋮ Stability robustness for linear state space models -- a Lyapunov mapping approach ⋮ Optimal value functions for weakly coupled systems: a posteriori estimates ⋮ Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations ⋮ Improved robust performance bounds in covariance majorant analysis ⋮ Exclusion and multiplicity for stable communities in Lotka-Volterra systems ⋮ Error bounds for Newton refinement of solutions to algebraic Riccati equations ⋮ Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations ⋮ On properties of Sylvester and Lyapunov operators ⋮ Numerically robust delta-domain solutions to discrete-time Lyapunov equations. ⋮ ON THE SENSITIVITY OF THE SOLUTION OF THE GENERALIZED LYAPUNOV EQUATION ⋮ Numerical solution and perturbation theory for generalized Lyapunov equations