Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems

F. Flandoli; I. Lasiecka; R. Triggiani

doi:10.1007/bf01762397

Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01762397 ◽

1988 ◽

Vol 153 (1) ◽

pp. 307-382 ◽

Cited By ~ 89

Author(s):

F. Flandoli ◽

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Control Problems ◽

Algebraic Riccati Equations ◽

Boundary Control Problems

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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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Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. Part II: The general case

Applied Mathematics & Optimization ◽

10.1007/bf01191106 ◽

1994 ◽

Vol 29 (1) ◽

pp. 1-65 ◽

Cited By ~ 24

Author(s):

C. McMillan ◽

R. Triggiani

Keyword(s):

Game Theory ◽

Boundary Control ◽

Riccati Equations ◽

Control Problems ◽

Solution Map ◽

Algebraic Riccati Equations ◽

Boundary Control Problems ◽

Continuous Input

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Algebraic Riccati equations arising from systems with unbounded input-solution operator: applications to boundary control problems for wave and plate equations

Nonlinear Analysis ◽

10.1016/0362-546x(93)90026-o ◽

1993 ◽

Vol 20 (6) ◽

pp. 659-695 ◽

Cited By ~ 11

Author(s):

I. Lasiecka ◽

R. Triggiani

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Solution Operator ◽

Control Problems ◽

Algebraic Riccati Equations ◽

Boundary Control Problems ◽

Plate 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 ◽

Cited By ~ 6

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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Numerical Approximations of Solutions to Riccati Equations Arising in Boundary Control Problems for the Wave Equation

Optimal control of differential equations ◽

10.1201/9781003072225-9 ◽

2020 ◽

pp. 111-132

Author(s):

Erik Hendrickson ◽

Irena Lasiecka

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Riccati Equations ◽

Control Problems ◽

Numerical Approximations ◽

Boundary Control Problems

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Approximations of Riccati equations corresponding to hyperbolic boundary control problems

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

10.1007/bfb0005655 ◽

2005 ◽

pp. 228-244

Author(s):

I. Lasiecka

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Control Problems ◽

Boundary Control Problems ◽

Hyperbolic Boundary

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Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems, II

Applied Mathematics & Optimization ◽

10.1007/s002459911011 ◽

2000 ◽

Vol 41 (2) ◽

pp. 199-226 ◽

Cited By ~ 8

Author(s):

P. Acquistapace ◽

B. Terreni

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Classical Solutions ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

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Classical Solutions of Nonautonomous Riccati Equations Arising in Parabolic Boundary Control Problems

Applied Mathematics & Optimization ◽

10.1007/s002459900111 ◽

1999 ◽

Vol 39 (3) ◽

pp. 361-409 ◽

Cited By ~ 17

Author(s):

P. Acquistapace

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Classical Solutions ◽

Control Problems ◽

Parabolic Boundary ◽

Boundary Control Problems

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Unbounded observation and boundary control problems for Burgers equation

[1991] Proceedings of the 30th IEEE Conference on Decision and Control ◽

10.1109/cdc.1991.261841 ◽

2002 ◽

Cited By ~ 1

Author(s):

S. Kang ◽

K. Ito ◽

J.A. Burns

Keyword(s):

Boundary Control ◽

Burgers Equation ◽

Control Problems ◽

Boundary Control Problems

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Local A Posteriori Error Estimates for Convex Boundary Control Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070680576 ◽

2009 ◽

Vol 47 (3) ◽

pp. 1886-1908 ◽

Cited By ~ 2

Author(s):

Wenbin Liu ◽

Ningning Yan

Keyword(s):

Error Estimates ◽

Boundary Control ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Control Problems ◽

A Posteriori ◽

A Posteriori Error ◽

Convex Boundary ◽

Boundary Control Problems

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