Nonnegative solutions of algebraic Riccati equations

DOI10.1016/S0024-3795(96)00444-2zbMath0881.15017WikidataQ127352940 ScholiaQ127352940MaRDI QIDQ1362674

Dirk Temme, Heinz K. Langer, André C. M. Ran

Publication date: 5 August 1997

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

zbMATH Keywords

stabilityoptimal controlalgebraic Riccati equationHamiltonianJordan chainsstabilizing solutionindefinite inner product spaceorder structurenonnegative Hermitian solution

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Matrix equations and identities (15A24)

Related Items (6)

The Algebraic Riccati Equation and Its Role in Indefinite Inner Product Spaces ⋮ Stability of the procedure of explicit recovery of skew-selfadjoint Dirac systems from rational Weyl matrix functions ⋮ Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure ⋮ Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations ⋮ Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations ⋮ Convex invertible cones of matrices -- a unified framework for the equations of Sylvester, Lyapunov and Riccati

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrices and indefinite scalar products
• Maximal invariant neutral subspaces and an application to the algebraic Riccati equation
• Unitary colligations in \(\pi _ k\)-spaces, characteristic functions and Shtraus extensions
• On positive definite solutions to the algebraic Riccati equation
• Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• Minimal factorization of matrix and operator functions
• The Riccati equation
• Stable hermitian solutions of discrete algebraic Riccati equations
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Dissipative matrices and invariant maximal semidefinite subspaces
• Lattice properties of sets of semidefinite solutions of continuous-time algebraic Riccati equations
• Isolated semidefinite solutions of the continuous-time algebraic Riccati equation
• Stability of invariant maximal semidefinite subspaces. I
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• Hermitian solutions of the discrete algebraic Riccati equation
• On Hermitian Solutions of the Symmetric Algebraic Riccati Equation
• Existence and uniqueness theorems for the algebraic Riccati equation
• Criterion for the convergence of the solution of the Riccati differential equation
• Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation
• Some Spectral Properties of Contractive and Expansive Operators in Indefinite Inner Product Spaces

This page was built for publication: Nonnegative solutions of algebraic Riccati equations