Eigenvalues of the solution of the Lyapunov tensor equation

DOI10.7153/jmi-2022-16-46zbMath1495.15014OpenAlexW4285166374MaRDI QIDQ5093916

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Publication date: 2 August 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-46

zbMATH Keywords

asymptotic stabilitylinear uncertain systemLyapunov tensor equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Tensor Decompositions and Applications
• Tensor norm and maximal singular vectors of nonnegative tensors -- a Perron-Frobenius theorem, a Collatz-Wielandt characterization and a generalized power method
• Solution bounds of the continuous and discrete Lyapunov matrix equations
• Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method
• Eigenvalues of a real supersymmetric tensor
• New upper solution bounds of the discrete algebraic Riccati matrix equation
• New upper solution bounds for perturbed continuous algebraic Riccati equations applied to automatic control
• On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations
• Backward error and perturbation bounds for high order Sylvester tensor equation
• Nonquadratic Lyapunov functions for robust stability analysis of linear uncertain systems
• Sensitivity analysis of the Lyapunov tensor equation
• Algebraic Lyapunov and Stein stability results for tensors
• New Upper Solution Bounds of the Continuous Algebraic Riccati Matrix Equation

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