A max-plus based fundamental solution for a class of infinite dimensional Riccati equations

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6161017 ◽

2011 ◽

Cited By ~ 5

Author(s):

Peter M. Dower ◽

William M. McEneaney

Keyword(s):

Fundamental Solution ◽

Riccati Equations ◽

Infinite Dimensional

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A note on the regularity of solutions of infinite dimensional Riccati equations

Applied Mathematics Letters ◽

10.1016/0893-9659(94)90085-x ◽

1994 ◽

Vol 7 (6) ◽

pp. 13-17 ◽

Cited By ~ 10

Author(s):

J.A. Burns ◽

B.B. King

Keyword(s):

Riccati Equations ◽

Regularity Of Solutions ◽

Infinite Dimensional

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A Max-plus Dual Space Fundamental Solution for a Class of Operator Differential Riccati Equations

SIAM Journal on Control and Optimization ◽

10.1137/120879312 ◽

2015 ◽

Vol 53 (2) ◽

pp. 969-1002 ◽

Cited By ~ 12

Author(s):

Peter M. Dower ◽

William M. McEneaney

Keyword(s):

Fundamental Solution ◽

Dual Space ◽

Riccati Equations ◽

Differential Riccati Equations

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A max-plus primal space fundamental solution for a class of differential Riccati equations

Mathematics of Control Signals and Systems ◽

10.1007/s00498-017-0200-2 ◽

2017 ◽

Vol 29 (3) ◽

Cited By ~ 4

Author(s):

Peter M. Dower ◽

Huan Zhang

Keyword(s):

Fundamental Solution ◽

Riccati Equations ◽

Primal Space ◽

Differential Riccati Equations

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A classification of all solutions of the algebraic Riccati equations for infinite-dimensional systems

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) ◽

10.1109/cdc.2003.1272880 ◽

2004 ◽

Author(s):

O. Iftime ◽

R. Curtain ◽

H. Zwart

Keyword(s):

Riccati Equations ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Algebraic Riccati Equations ◽

All Solutions

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Product of nonnegative operators and infinite-dimensional H∞ Riccati equations

Systems & Control Letters ◽

10.1016/s0167-6911(00)00055-4 ◽

2000 ◽

Vol 41 (3) ◽

pp. 183-188 ◽

Cited By ~ 3

Author(s):

Akira Ichikawa

Keyword(s):

Riccati Equations ◽

Infinite Dimensional

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The Fundamental Solution and Its Role in the Optimal Control of Infinite Dimensional Neutral Systems

Applied Mathematics & Optimization ◽

10.1007/s00245-009-9065-1 ◽

2009 ◽

Vol 60 (1) ◽

pp. 1-38 ◽

Cited By ~ 15

Author(s):

Kai Liu

Keyword(s):

Optimal Control ◽

Fundamental Solution ◽

Neutral Systems ◽

Infinite Dimensional

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A new fundamental solution for differential Riccati equations arising in control

Automatica ◽

10.1016/j.automatica.2007.08.019 ◽

2008 ◽

Vol 44 (4) ◽

pp. 920-936 ◽

Cited By ~ 25

Author(s):

William M. McEneaney

Keyword(s):

Fundamental Solution ◽

Riccati Equations ◽

Differential Riccati Equations

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Comparison theorems for infinite-dimensional riccati equations

Systems & Control Letters ◽

10.1016/0167-6911(90)90009-j ◽

1990 ◽

Vol 15 (2) ◽

pp. 153-159 ◽

Cited By ~ 23

Author(s):

Ruth F. Curtain ◽

Leiba Rodman

Keyword(s):

Riccati Equations ◽

Comparison Theorems ◽

Infinite Dimensional

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Max-plus fundamental solution semigroups for dual operator differential Riccati equations

2014 4th Australian Control Conference (AUCC) ◽

10.1109/aucc.2014.7358694 ◽

2014 ◽

Author(s):

Peter M. Dower ◽

William M. McEneaney

Keyword(s):

Fundamental Solution ◽

Riccati Equations ◽

Dual Operator ◽

Differential Riccati Equations

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Regular fundamental solution for a parabolic equation on an infinite–dimensional space

Stochastic Analysis and Applications ◽

10.1080/07362999308809314 ◽

1993 ◽

Vol 11 (2) ◽

pp. 235-247 ◽

Cited By ~ 8

Author(s):

Isabel Simão

Keyword(s):

Parabolic Equation ◽

Fundamental Solution ◽

Dimensional Space ◽

Infinite Dimensional Space ◽

Infinite Dimensional

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