Estimates from the discrete-time Lyapunov equation

DOI10.1016/S0893-9659(03)80050-2zbMath1068.93047MaRDI QIDQ1431933

D. Massart

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

StabilityEigenvaluesDiscrete-time Lyapunov equation

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Matrix equations and identities (15A24)

Related Items (6)

On Smith-type iterative algorithms for the Stein matrix equation ⋮ Extended Hamiltonian algorithm for the solution of discrete algebraic Lyapunov equations ⋮ Norm estimates of the Fourier series coefficients of the matrix resolvent ⋮ A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance ⋮ Lyapunov iteration and equation characterizations for unobservable subspace ⋮ Numerical method based on fiber bundle for solving Lyapunov matrix equation

Cites Work

• Some new algorithms for the spectral dichotomy methods
• Lyapunov matrix equations in system stability and control.
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