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On the uniqueness of the Lyapunov scaling factors

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Publication:581506
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DOI10.1016/0024-3795(87)90059-0zbMath0627.15007OpenAlexW1967529719MaRDI QIDQ581506

Abraham Berman, Dafna Shasha

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90059-0

zbMATH Keywords

counterexampleconjectureLyapunov diagonal stabilityirreducible P- matrixLyapunov scaling factor


Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03) Conditioning of matrices (15A12)


Related Items

More on the uniqueness of the Lyapunov scaling factors, On the unique solvability of the Runge-Kutta equations, Recent directions in matrix stability, On cones and stability



Cites Work

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  • Three types of matrix stability
  • \(\mathcal A\mathcal L\wp\mathcal S\): Matrices with nonpositive off-diagonal entries
  • Cones, matrices and mathematical programming
  • Matrix Diagonal Stability and Its Implications
  • Scalings of vector spaces and the uniqueness of lyapunov scaling factors
  • Positive diagonal solutions to the Lyapunov equations
  • Probleme General de la Stabilite du Mouvement. (AM-17)
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