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Algebraic Riccati equation

Known as: Riccati equation (algebraic) 
An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous… 
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Related topics

Related topics

7 relations
Bellman equationControl theoryList of numerical analysis topicsMatrix difference equation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2008
Highly Cited
2008
Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation
2006
2006
A Numerical Method for a Generalized Algebraic Riccati Equation
In this paper we develop a numerical method for computing the semistabilizing solution of a generalized algebraic Riccati… 
Review
2006
Review
2006
Formulas on Preview and Delayed $H^{\infty}$ Control
A generalized Hinfin control problem, which covers preview and delayed control strategies, is discussed based on a state-space… 
2005
2005
ON THE MINIMAL NONNEGATIVE SOLUTION OFNONSYMMETRIC ALGEBRAIC RICCATI EQUATION
We study perturbation bound and structured condition number about the minimal nonnegative solution of nonsymmetric algebraic… 
2001
2001
Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions
In this paper, asymmetric algebraic Riccati equations are analyzed. In particular, we derive a new parametrization of the set of… 
1998
1998
Verified calculation of the solution of algebraic Riccati equation
In this note we describe a new method to calculate verified solutions of the matrix Riccati equation (ARE) with interval… 
1997
1997
Residual bounds of approximate solutions of the algebraic Riccati equation
Summary.Let $\tilde{X} \geq 0$ approximate the unique Hermitian positive semi-definite solution $X$ to the algebraic Riccati… 
1995
1995
Isolated semidefinite solutions of the continuous-time algebraic riccati equation
The set of all negative-semidefinite solutions of the CAREA*X+XA+XBB*X−C*C=0 is homeomorphic to a well defined set ofA-invariant… 
1985
1985
On some bounds in the algebraic Riccati and Lyanupov equations
Some bounds for the trace and determinant of the solution to the algebraic Riccati and Lyapunov matrix equations are presented… 
1982
1982
A general algorithm for solving the algebraic Riccati equation
The generalized eigenvalue problem provides a suitable framework for reliable solutions of many system theoretic, control, and… 
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