The Algebraic Riccati Equation and Its Role in Indefinite Inner Product Spaces

DOI10.1007/978-3-0348-0667-1_43zbMath1335.47009OpenAlexW1601145451MaRDI QIDQ3462182

Publication date: 4 January 2016

Published in: Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0667-1_43

zbMATH Keywords

spectral factorization algebraic Riccati equation Kalman filter \(H^\infty\) control Lagrange subspace indefinite product space

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Equations involving linear operators, with operator unknowns (47A62) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Cites Work

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Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation. I: The least squares solution
The Riccati equation
The autonomous linear quadratic control problem. Theory and numerical solution
Nonnegative solutions of algebraic Riccati equations
The regular indefinite linear-quadratic problem with linear endpoint contraints
Lattice properties of sets of semidefinite solutions of continuous-time algebraic Riccati equations
Stability of invariant maximal semidefinite subspaces. I
A state space approach to canonical factorization with applications
Solving the infinite-dimensional discrete-time algebraic Riccati equation using the extended symplectic pencil
Rational Matrix Solutions of a Bezout Type Equation on the Half-plane
Linear Quadratic Problems with Indefinite Cost for Discrete Time Systems
Geometry of the Algebraic Riccati Equation, Part II
Approximation of Solutions of Riccati Equations
Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices
Existence and uniqueness theorems for the algebraic Riccati equation
The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators
Right invertible multiplication operators and stable rational matrix solutions to an associate Bezout equation, II: Description of all solutions
The Stabilizing Solution of the Algebraic Riccati Equation
Equivalence Relations for the Algebraic Riccati Equation

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