The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control

Augusto Ferrante; Lorenzo Ntogramatzidis

doi:10.1016/j.automatica.2014.02.014

The generalized continuous algebraic Riccati equation and impulse-free continuous-time LQ optimal control

Automatica ◽

10.1016/j.automatica.2014.02.014 ◽

2014 ◽

Vol 50 (4) ◽

pp. 1176-1180 ◽

Cited By ~ 19

Author(s):

Augusto Ferrante ◽

Lorenzo Ntogramatzidis

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation ◽

Lq Optimal Control

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On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control

2015 European Control Conference (ECC) ◽

10.1109/ecc.2015.7330801 ◽

2015 ◽

Author(s):

Augusto Ferrante ◽

Lorenzo Ntogramatzidis

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation ◽

Lq Optimal Control

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The role of the generalised continuous algebraic Riccati equation in impulse-free continuous-time singular LQ optimal control

52nd IEEE Conference on Decision and Control ◽

10.1109/cdc.2013.6760911 ◽

2013 ◽

Cited By ~ 3

Author(s):

Augusto Ferrante ◽

Lorenzo Ntogramatzidis

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation ◽

Lq Optimal Control

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The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part II

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426829 ◽

2012 ◽

Author(s):

Augusto Ferrante ◽

Lorenzo Ntogramatzidis

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Optimal Control Problems ◽

Algebraic Riccati Equation ◽

Control Problems ◽

Lq Optimal Control ◽

Discrete Algebraic Riccati Equation

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The generalised discrete algebraic Riccati equation arising in LQ optimal control problems: Part I

2012 IEEE 51st IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2012.6426833 ◽

2012 ◽

Author(s):

Augusto Ferrante ◽

Lorenzo Ntogramatzidis

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Optimal Control Problems ◽

Algebraic Riccati Equation ◽

Control Problems ◽

Lq Optimal Control ◽

Discrete Algebraic Riccati Equation

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Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation

SIAM Journal on Control and Optimization ◽

10.1137/s0363012992229227 ◽

1994 ◽

Vol 32 (4) ◽

pp. 995-1007 ◽

Cited By ~ 18

Author(s):

Harald K. Wimmer

Keyword(s):

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation

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A Riccati-equation-based algorithm for continuous-time optimal control problems

Optimal Control Applications and Methods ◽

10.1002/(sici)1099-1514(199809/10)19:5<299::aid-oca626>3.0.co;2-n ◽

1998 ◽

Vol 19 (5) ◽

pp. 299-313 ◽

Cited By ~ 1

Author(s):

Joe Imae

Keyword(s):

Optimal Control ◽

Riccati Equation ◽

Continuous Time ◽

Optimal Control Problems ◽

Time Optimal Control ◽

Control Problems ◽

Time Optimal

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The Constrained Continuous Time Algebraic Riccati Equation

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)49242-1 ◽

1993 ◽

Vol 26 (2) ◽

pp. 809-812 ◽

Cited By ~ 1

Author(s):

V. Ionescu ◽

M. Weiss

Keyword(s):

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation

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A lower bound for the solution of the algebraic Riccati equation of optimal control and a geometric convergence rate for the Kleinman algorithm

IEEE Transactions on Automatic Control ◽

10.1109/tac.1980.1102412 ◽

1980 ◽

Vol 25 (4) ◽

pp. 826-829 ◽

Cited By ~ 12

Author(s):

J. Allwright

Keyword(s):

Optimal Control ◽

Lower Bound ◽

Convergence Rate ◽

Riccati Equation ◽

Algebraic Riccati Equation ◽

Geometric Convergence

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The descriptor continuous-time algebraic Riccati equation: Numerical solution and application

2015 European Control Conference (ECC) ◽

10.1109/ecc.2015.7331013 ◽

2015 ◽

Cited By ~ 2

Author(s):

Claudiu Dinicu ◽

Cristian Oara

Keyword(s):

Numerical Solution ◽

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation

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About solution of the continuous-time algebraic Riccati equation

Proceedings of the 3rd World Congress on Intelligent Control and Automation (Cat. No.00EX393) ◽

10.1109/wcica.2000.863186 ◽

2002 ◽

Author(s):

V.B. Larin

Keyword(s):

Riccati Equation ◽

Continuous Time ◽

Algebraic Riccati Equation

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