Differential Riccati equations with unbounded coefficients: applications to boundary control/boundary observation hyperbolic problems

Nonlinear Analysis ◽

10.1016/0362-546x(91)90112-e ◽

1991 ◽

Vol 17 (7) ◽

pp. 655-682 ◽

Author(s):

Irena Lasiecka ◽

Roberto Triggiani

Keyword(s):

Boundary Control ◽

Riccati Equations ◽

Hyperbolic Problems ◽

Unbounded Coefficients ◽

Differential Riccati Equations

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An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski-type P.D.E.'s with boundary control and slightly smoothing observation

Abstract and Applied Analysis ◽

10.1155/s1085337596000243 ◽

1996 ◽

Vol 1 (4) ◽

pp. 435-484 ◽

Author(s):

R. Triggiani

Keyword(s):

Optimal Control ◽

Boundary Control ◽

Optimal Control Problems ◽

Riccati Equations ◽

Control Problems ◽

Abstract Setting ◽

Differential Riccati Equations

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Differential Riccati equations for the Bolza problem associated with point boundary control of singular estimate control systems

Lecture Notes in Pure and Applied Mathematics - Free and Moving Boundaries ◽

10.1201/9781420011159.ch12 ◽

2007 ◽

pp. 245-262 ◽

Author(s):

Amjad Tuffaha ◽

Irena Lasiecka

Keyword(s):

Control Systems ◽

Boundary Control ◽

Riccati Equations ◽

Point Boundary ◽

Bolza Problem ◽

Differential Riccati Equations

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Diﬀerential Riccati equations for the Bolza problem associated with point boundary control of singular estimate control systems

Free and Moving Boundaries ◽

10.1201/9781420011159-16 ◽

2007 ◽

pp. 263-280

Keyword(s):

Control Systems ◽

Boundary Control ◽

Riccati Equations ◽

Point Boundary ◽

Bolza Problem ◽

Differential Riccati Equations

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Multiscale Differential Riccati Equations for Linear Quadratic Regulator Problems

SIAM Journal on Scientific Computing ◽

10.1137/17m1134500 ◽

2018 ◽

Vol 40 (4) ◽

pp. A2406-A2426 ◽

Author(s):

Axel Målqvist ◽

Anna Persson ◽

Tony Stillfjord

Keyword(s):

Linear Quadratic Regulator ◽

Riccati Equations ◽

Linear Quadratic ◽

Differential Riccati Equations

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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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3. Abstract differential Riccati equations for the second class subject to the trace regularity assumption (H.2)=(1.6)

Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006883 ◽

2005 ◽

pp. 22-31

Keyword(s):

Riccati Equations ◽

Regularity Assumption ◽

Differential Riccati Equations

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Degenerate riccati equations with unbounded coefficients arising in transport theory

Numerical Functional Analysis and Optimization ◽

10.1080/01630568908816305 ◽

1989 ◽

Vol 10 (3-4) ◽

pp. 305-321

Author(s):

Jonq Juang

Keyword(s):

Transport Theory ◽

Riccati Equations ◽

Unbounded Coefficients

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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 ◽

Author(s):

Peter M. Dower ◽

William M. McEneaney

Keyword(s):

Fundamental Solution ◽

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) ◽

Author(s):

Peter M. Dower ◽

Huan Zhang

Keyword(s):

Fundamental Solution ◽

Riccati Equations ◽

Primal Space ◽

Differential Riccati Equations

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