Computing the Positive Stabilizing Solution to Algebraic Riccati Equations With an Indefinite Quadratic Term via a Recursive Method

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.2006108 ◽

2008 ◽

Vol 53 (10) ◽

pp. 2280-2291 ◽

Author(s):

Alexander Lanzon ◽

Yantao Feng ◽

Brian D. O. Anderson ◽

Michael Rotkowitz

Keyword(s):

Riccati Equations ◽

Quadratic Term ◽

Recursive Method ◽

Algebraic Riccati Equations ◽

Stabilizing Solution ◽

Indefinite Quadratic

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Necessary and sufficient conditions for the existence of positive solutions to algebraic Riccati equations with indefinite quadratic term

Applied Mathematics & Optimization ◽

10.1007/bf01218397 ◽

1992 ◽

Vol 26 (1) ◽

pp. 95-110 ◽

Author(s):

Shuping Chen

Keyword(s):

Positive Solutions ◽

Sufficient Conditions ◽

Riccati Equations ◽

Necessary And Sufficient Conditions ◽

Quadratic Term ◽

Algebraic Riccati Equations ◽

Existence Of Positive Solutions ◽

Indefinite Quadratic ◽

Necessary And Sufficient

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An iterative algorithm to solve Algebraic Riccati Equations with an indefinite quadratic term

2007 European Control Conference (ECC) ◽

10.23919/ecc.2007.7068239 ◽

2007 ◽

Author(s):

Alexander Lanzon ◽

Yantao Feng ◽

Brian D. O. Anderson

Keyword(s):

Iterative Algorithm ◽

Riccati Equations ◽

Quadratic Term ◽

Algebraic Riccati Equations ◽

Indefinite Quadratic

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On an iterative algorithm to compute the positive stabilizing solution of generalized algebraic Riccati equations

2009 Chinese Control and Decision Conference ◽

10.1109/ccdc.2009.5192595 ◽

2009 ◽

Author(s):

Yantao Feng ◽

Brian D. O. Anderson

Keyword(s):

Iterative Algorithm ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Stabilizing Solution

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On the Existence of a Stabilizing Solution of Modified Algebraic Riccati Equations in Terms of Standard Algebraic Riccati Equations and Linear Matrix Inequalities

IEEE Control Systems Letters ◽

10.1109/lcsys.2019.2921998 ◽

2020 ◽

Vol 4 (1) ◽

pp. 91-96

Author(s):

Francisco J. Vargas ◽

Rodrigo A. Gonzalez

Keyword(s):

Linear Matrix Inequalities ◽

Riccati Equations ◽

Linear Matrix ◽

Matrix Inequalities ◽

Algebraic Riccati Equations ◽

Stabilizing Solution

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Numerical solvers to the stabilizing solution of perturbed algebraic Riccati equations in LQ zero-sum games

10.1063/1.4934329 ◽

2015 ◽

Author(s):

I. G. Ivanov ◽

N. C. Netov ◽

B. C. Bogdanova

Keyword(s):

Riccati Equations ◽

Zero Sum Games ◽

Algebraic Riccati Equations ◽

Stabilizing Solution ◽

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Solving discrete algebraic Riccati equations: A new recursive method

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5400097 ◽

2009 ◽

Author(s):

Yantao Feng ◽

Brian D. O. Anderson ◽

Weitian Chen

Keyword(s):

Riccati Equations ◽

Recursive Method ◽

Algebraic Riccati Equations

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Solution of algebraic riccati equations using the sum of roots

Proceedings of the 2009 international symposium on Symbolic and algebraic computation - ISSAC '09 ◽

10.1145/1576702.1576733 ◽

2009 ◽

Author(s):

Masaaki Kanno ◽

Kazuhiro Yokoyama ◽

Hirokazu Anai ◽

Shinji Hara

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

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Solving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113447 ◽

2021 ◽

Vol 391 ◽

pp. 113447

Author(s):

Peter Chang-Yi Weng

Keyword(s):

Large Scale ◽

Riccati Equations ◽

Two Dimensional ◽

Transport Models ◽

Algebraic Riccati Equations

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A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0140 ◽

2021 ◽

Vol 14 (3) ◽

pp. 650-691

Author(s):

Liqiang Dong

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

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The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations

Dynamical Systems, Control, Coding, Computer Vision ◽

10.1007/978-3-0348-8970-4_8 ◽

1999 ◽

pp. 157-172 ◽

Author(s):

Peter Lancaster

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

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