On the algebraic Riccati equation

DOI10.1017/S0004972700025387zbMath0344.15007MaRDI QIDQ4111707

Harald K. Wimmer

Publication date: 1976

Published in: Bulletin of the Australian Mathematical Society (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) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

Stability and inertia ⋮ Some open problems in matrix theory arising in linear systems and control ⋮ Existence and uniqueness theorems for the algebraic Riccati equation ⋮ Inertia theorems for the periodic Lyapunov difference equation and periodic Riccati difference equation ⋮ Existence condition of positive-definite solutions for algebraic matrix Riccati equations ⋮ Inertia theorems for the periodic Liapunov equation and periodic Riccati equation ⋮ Monotonicity of maximal solutions of algebraic Riccati equations

Cites Work

• Some theorems on the inertia of general matrices
• Inertia theorems for matrices, controllability, and linear vibrations
• A Generalization of the Inertia Theorem

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