Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations

DOI10.1016/S0005-1098(01)00304-1zbMath1006.93056OpenAlexW2071864082MaRDI QIDQ1614356

Tae-Yong Kuc, Han Ho Choi

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00304-1

zbMATH Keywords

eigenvaluetracedeterminantLyapunov matrix equationscontinuous algebraic Riccati equations

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Miscellaneous inequalities involving matrices (15A45)

Related Items (9)

Improved upper bounds for the solution of the continuous algebraic Riccati matrix equation ⋮ A unified approach of the measurement of solution bounds of the continuous and discrete algebraic Lyapunov equations ⋮ New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation ⋮ Matrix solution bounds of the continuous Lyapunov equation by using a bilinear transformation ⋮ New lower solution bounds of the continuous algebraic Riccati matrix equation ⋮ New upper solution bounds for perturbed continuous algebraic Riccati equations applied to automatic control ⋮ On the estimation of the covariance of the continuous multiplicative systems ⋮ Solution bounds of the continuous and discrete Lyapunov matrix equations ⋮ The extended Hamiltonian algorithm for the solution of the algebraic Riccati equation

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
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