The Infinite Dimensional Riccati Equation with Applications to Affine Hereditary Differential Systems

SIAM Journal on Control ◽

10.1137/0313070 ◽

1975 ◽

Vol 13 (6) ◽

pp. 1130-1143 ◽

Author(s):

Ruth F. Curtain

Keyword(s):

Riccati Equation ◽

Differential Systems ◽

Infinite Dimensional

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A Kleinman–Newton construction of the maximal solution of the infinite-dimensional control Riccati equation

10.1016/j.automatica.2017.08.030 ◽

2017 ◽

Vol 86 ◽

pp. 147-153 ◽

Author(s):

Ruth F. Curtain ◽

Hans Zwart ◽

Orest V. Iftime

Keyword(s):

Riccati Equation ◽

Maximal Solution ◽

Dimensional Control ◽

Infinite Dimensional

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Existence and uniqueness of solutions of semilinear stochastic infinite-dimensional differential systems with H-regular noise

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.10.012 ◽

2007 ◽

Vol 332 (1) ◽

pp. 334-345 ◽

Author(s):

H. Schurz

Keyword(s):

Existence And Uniqueness ◽

Uniqueness Of Solutions ◽

Differential Systems ◽

Infinite Dimensional

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The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators

SIAM Journal on Control and Optimization ◽

10.1137/0314061 ◽

1976 ◽

Vol 14 (5) ◽

pp. 951-983 ◽

Author(s):

Ruth Curtain ◽

A. J. Pritchard

Keyword(s):

Riccati Equation ◽

Evolution Operators ◽

Infinite Dimensional

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On the regularity of solutions of an operator Riccati equation arising in linear quadratic optimal control problems for hereditary differential systems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(89)90073-5 ◽

1989 ◽

Vol 140 (2) ◽

pp. 396-406 ◽

Author(s):

Kazufumi Ito

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Optimal Control Problems ◽

Regularity Of Solutions ◽

Control Problems ◽

Linear Quadratic ◽

Linear Quadratic Optimal Control ◽

Differential Systems ◽

Operator Riccati Equation ◽

Quadratic Optimal Control

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F-reduction of the operator Riccati equation for hereditary differential systems

10.1016/0005-1098(78)90037-7 ◽

1978 ◽

Vol 14 (4) ◽

pp. 385-395 ◽

Author(s):

M.C. Delfour ◽

E.B. Lee ◽

A. Manitius

Keyword(s):

Riccati Equation ◽

Differential Systems ◽

Operator Riccati Equation

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Solving the infinite-dimensional discrete-time algebraic riccati equation using the extended symplectic pencil

Mathematics of Control Signals and Systems ◽

10.1007/bf02551329 ◽

1996 ◽

Vol 9 (3) ◽

pp. 242-265 ◽

Author(s):

Job Oostveen ◽

Hans Zwart

Keyword(s):

Riccati Equation ◽

Discrete Time ◽

Algebraic Riccati Equation ◽

Infinite Dimensional

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On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems

Integral Equations and Operator Theory ◽

10.1007/bf01208348 ◽

1995 ◽

Vol 22 (2) ◽

pp. 162-195 ◽

Author(s):

Frank M. Callier ◽

Laurence Dumortier ◽

Joseph Winkin

Keyword(s):

Riccati Equation ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Operator Riccati Equation ◽

Adjoint Solutions

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Properties of the infinite-dimensional Riccati equation arising in the many-fermion problem

Mathematical Notes ◽

10.1007/bf02305187 ◽

1996 ◽

Vol 60 (2) ◽

pp. 221-222

Author(s):

G. V. Koval'

Keyword(s):

Riccati Equation ◽

Infinite Dimensional ◽

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Asymptotic Solution of the Singularly Perturbed Infinite Dimensional Riccati Equation

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5586 ◽

1997 ◽

Vol 214 (1) ◽

pp. 63-88 ◽

Author(s):

Valery Y. Glizer

Keyword(s):

Asymptotic Solution ◽

Riccati Equation ◽

Singularly Perturbed ◽

Infinite Dimensional

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Reduction of exterior differential systems with infinite dimensional symmetry groups

BIT Numerical Mathematics ◽

10.1007/s10543-008-0177-9 ◽

2008 ◽

Vol 48 (2) ◽

pp. 337-355 ◽

Author(s):

J. Pohjanpelto

Keyword(s):

Symmetry Groups ◽

Differential Systems ◽

Exterior Differential Systems ◽

Infinite Dimensional ◽

Exterior Differential

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