Convergence rates for the approximations of the solutions to algebraic Riccati Equations with unbounded coefficients: case of analytic semigroups

Numerische Mathematik ◽

10.1007/bf01385866 ◽

1992 ◽

Vol 63 (1) ◽

pp. 357-390

Author(s):

Irena Lasiecka

Keyword(s):

Convergence Rates ◽

Riccati Equations ◽

Analytic Semigroups ◽

Unbounded Coefficients ◽

Algebraic Riccati Equations

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Numerical approximations of algebraic Riccati equations for abstract systems modelled by analytic semigroups, and applications

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1094953-1 ◽

1991 ◽

Vol 57 (196) ◽

pp. 639 ◽

Author(s):

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Riccati Equations ◽

Analytic Semigroups ◽

Numerical Approximations ◽

Algebraic Riccati Equations

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Min-Max Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semigroups. Part II: The General Case

Boundary Control and Variation ◽

10.1201/9781482277685-21 ◽

1994 ◽

pp. 311-348

Keyword(s):

Game Theory ◽

Boundary Control ◽

Riccati Equations ◽

Analytic Semigroups ◽

Control Problems ◽

Algebraic Riccati Equations ◽

Boundary Control Problems

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Supplement to Numerical Approximations of Algebraic Riccati Equations for Abstract Systems Modelled by Analytic Semigroups, and Applications

Mathematics of Computation ◽

10.2307/2938732 ◽

1991 ◽

Vol 57 (196) ◽

pp. s13

Author(s):

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Riccati Equations ◽

Analytic Semigroups ◽

Numerical Approximations ◽

Algebraic Riccati Equations

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Strong convergence and convergence rates of approximating solutions for algebraic riccati equations in Hilbert spaces

Lecture Notes in Control and Information Sciences - Distributed Parameter Systems ◽

10.1007/bfb0041988 ◽

2006 ◽

pp. 153-166 ◽

Author(s):

Kazufumi Ito

Keyword(s):

Strong Convergence ◽

Hilbert Spaces ◽

Convergence Rates ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Min-max game theory and algebraic Riccati equations for boundary control problems with analytic semigroups—II. The general case

Nonlinear Analysis ◽

10.1016/0362-546x(94)90167-8 ◽

1994 ◽

Vol 22 (4) ◽

pp. 431-465 ◽

Author(s):

C. McMillan ◽

R. Triggian

Keyword(s):

Game Theory ◽

Boundary Control ◽

Riccati Equations ◽

Analytic Semigroups ◽

Control Problems ◽

Algebraic Riccati Equations ◽

Boundary Control Problems

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Convergence rates of some iterative methods for nonsymmetric algebraic Riccati equations arising in transport theory

Linear Algebra and its Applications ◽

10.1016/j.laa.2009.08.004 ◽

2010 ◽

Vol 432 (1) ◽

pp. 283-291 ◽

Author(s):

Chun-Hua Guo ◽

Wen-Wei Lin

Keyword(s):

Iterative Methods ◽

Convergence Rates ◽

Transport Theory ◽

Riccati Equations ◽

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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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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