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Algebraic Riccati equation

Known as: Riccati equation 
An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous… (More)
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Topic mentions per year

1968-2017
05010019682017

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6 relations
Bellman equationControl theoryMatrix difference equationNonlinear system
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Related mentions per year

Related mentions per year

1936-2018
19401960198020002020
Algebraic Riccati equation
Nonlinear system
Control theory
Optimal control
Recursive least squares filter
Bellman equation

Papers overview

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2008
2008
A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation
A special instance of the algebraic Riccati equation XCX−XE−AX+B = 0 where the n × n matrix coefficients A,B,C,E are rank… (More)
  • table 8.1
  • table 8.2
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2007
2007
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation
We study the nonsymmetric algebraic Riccati equation whose four coefficient matrices are the blocks of a nonsingular M -matrix or… (More)
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Highly Cited
2006
Highly Cited
2006
A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation
In this paper we propose a structure-preserving doubling algorithm (SDA) for computing the minimal nonnegative solutions to the… (More)
  • figure 6.1
  • figure 7.1
  • table 1
  • figure 7.2
  • figure 7.3
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Highly Cited
2004
Highly Cited
2004
Matrix Riccati Equations in Control and Systems Theory
Due to its widespread relevance in control and dynamic optimization, the differential and algebraic matrix Riccati equation has… (More)
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Highly Cited
2001
Highly Cited
2001
Solving the Algebraic Riccati Equation with the Matrix Sign Function
  • 2001
This paper presents solne inrprovements to the matrix-sigll-fllnction algorithn~ for the alge\,raic Riccati equation. A simple… (More)
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1993
1993
On Scaling an Algebraic Riccati Equation
Since its introduction in [3J, the Schur method is considered to be one of the most numerically reliable method to solve an… (More)
  • table 1
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1990
1990
An Approximation Theorem for the Algebraic Riccati Equation
For an infinite-dimensional linear quadratic control problem in Hilbert space, approximation of the solution of the algebraic… (More)
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1987
1987
Sensitivity of algebraic Riccati equations
Results are presented giving upper and lower bounds on the condition number of the algebraic Riccati equation (ARE). The… (More)
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1985
1985
Algebraic Riccati equation arising in boundary control problems
An algebraic Riccati equation is studied, with application to the optimal control of deterministic and stochastic parabolic… (More)
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1983
1983
Analytic stabilization and the algebraic Riccati equation
The central result of this paper is that the stabilizing solution P*, to the Algebraic Riccati Equation in (A,B,C) depends… (More)
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