Convex invertible cones of matrices -- a unified framework for the equations of Sylvester, Lyapunov and Riccati

DOI10.1016/S0024-3795(98)10164-7zbMath0938.15007WikidataQ127771301 ScholiaQ127771301MaRDI QIDQ1301274

Izchak Lewkowicz

Publication date: 15 June 2000

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

zbMATH Keywords

Lyapunov equationRiccati equationSylvester equationmatrix sign functionconvex invertible cone

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (11)

Passive linear continuous-time systems: characterization through structure ⋮ The distance to strong stability ⋮ Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices ⋮ Strong stability of internal system descriptions ⋮ Non-overshooting stabilisation via state and output feedback ⋮ Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions ⋮ Convex invertible cones and positive real analytic functions ⋮ The Lyapunov order for real matrices ⋮ Common Lyapunov solutions for two matrices whose difference has rank one ⋮ A characterization of convex cones of matrices with constant regular inertia ⋮ A pair of matrices sharing common Lyapunov solutions--A closer look

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