A note on the algebraic matrix Riccati equation

DOI10.1109/TAC.1977.1101441zbMath0346.93029MaRDI QIDQ4116341

Kwon, Wook Hyun, Allan E. Pearson

Publication date: 1977

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback ⋮ Bounds for the eigenvalues of the solution matrix of the algebraic Riccati equation ⋮ Lower matrix bounds for the continuous algebraic Riccati and Lyapunov matrix equations ⋮ Matrix bounds for the solution of the continuous algebraic Riccati equation ⋮ Explicit direct solution of the Lyapunov matrix equation ⋮ Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results ⋮ New solution bounds for the continuous algebraic Riccati equation ⋮ New lower solution bounds of the continuous algebraic Riccati matrix equation ⋮ A brief summary of the bounds on the solution of the algebraic matrix equations in control theory ⋮ New upper solution bounds of the discrete algebraic Riccati matrix equation ⋮ Matrix bounds of the solutions of the continuous and discrete Riccati equations--a unified approach ⋮ Solution bounds for the discrete Riccati equation and its applications ⋮ Snowballing private information ⋮ Note on the existence regions for eigenvalues of the solution to the discrete Lyapunov matrix equation ⋮ Upper and lower bounds for the solution to the discrete Lyapunov matrix equation

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