Bounds for exponentially stable semigroups
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Publication:1855445
DOI10.1016/S0024-3795(02)00393-2zbMath1046.47041MaRDI QIDQ1855445
Publication date: 5 February 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
exponential stabilitytransport equationstrongly continuous operator semigroups on complex Hilbert space
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) One-parameter semigroups and linear evolution equations (47D06)
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Cites Work
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- Two counterexamples related to the Kreiss matrix theorem
- Exponential decay of semigroups in Hilbert space
- On a bound for the norm of a matrix exponential.
- A relation between the weighted logarithmic norm of a matrix and the Lyapunov equation
- Estimating the operator exponential
- On the resolvent condition in the Kreiss matrix theorem
- Extending a theorem of A. M. Liapunov to Hilbert space
- On Logarithmic Norms
- Bounds and perturbation bounds for the matrix exponential
- The Sensitivity of the Matrix Exponential
- The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
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