An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuousâ€¦Â (More)

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2008

2008

- Dario Bini, Bruno Iannazzo, Federico Poloni
- SIAM J. Matrix Analysis Applications
- 2008

A special instance of the algebraic Riccati equation XCXâˆ’XEâˆ’AX+B = 0 where the n Ã— n matrix coefficients A,B,C,E are rankâ€¦Â (More)

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2007

2007

- Chun-Hua Guo, Nicholas J. Higham
- SIAM J. Matrix Analysis Applications
- 2007

We study the nonsymmetric algebraic Riccati equation whose four coefficient matrices are the blocks of a nonsingular M -matrix orâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Xiao-Xia Guo, Wen-Wei Lin, Shu-Fang Xu
- Numerische Mathematik
- 2006

In this paper we propose a structure-preserving doubling algorithm (SDA) for computing the minimal nonnegative solutions to theâ€¦Â (More)

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2004

Highly Cited

2004

- H. A. Abou-Kandil, G. Freiling, Virgil Ionescu, G. JankBasel, Carsten W. Scherer
- IEEE Transactions on Automatic Control
- 2004

Due to its widespread relevance in control and dynamic optimization, the differential and algebraic matrix Riccati equation hasâ€¦Â (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 simpleâ€¦Â (More)

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1993

1993

- Pradeep Pandey
- 1993 American Control Conference
- 1993

Since its introduction in [3J, the Schur method is considered to be one of the most numerically reliable method to solve anâ€¦Â (More)

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1990

1990

For an infinite-dimensional linear quadratic control problem in Hilbert space, approximation of the solution of the algebraicâ€¦Â (More)

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1987

1987

- Charles Kenney, Gary A. Hewer
- 26th IEEE Conference on Decision and Control
- 1987

Results are presented giving upper and lower bounds on the condition number of the algebraic Riccati equation (ARE). Theâ€¦Â (More)

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1985

1985

- Franco Flandoli
- 1985 24th IEEE Conference on Decision and Control
- 1985

An algebraic Riccati equation is studied, with application to the optimal control of deterministic and stochastic parabolicâ€¦Â (More)

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1983

1983

- David F. Delchamps
- The 22nd IEEE Conference on Decision and Control
- 1983

The central result of this paper is that the stabilizing solution P*, to the Algebraic Riccati Equation in (A,B,C) dependsâ€¦Â (More)

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