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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1968-2017
05010019682017

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2008
2008
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)
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  • table 8.2
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2007
2007
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
In this paper we propose a structure-preserving doubling algorithm (SDA) for computing the minimal nonnegative solutions to the… (More)
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  • table 1
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Highly Cited
2004
Highly Cited
2004
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
  • 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
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
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
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
An algebraic Riccati equation is studied, with application to the optimal control of deterministic and stochastic parabolic… (More)
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1983
1983
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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