Upper bounds in the algebraic Riccati equation under perturbations of the coefficients

Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application

Science China Information Sciences ◽

10.1007/s11432-014-5173-x ◽

2014 ◽

Vol 58 (5) ◽

pp. 1-12 ◽

Cited By ~ 4

Author(s):

YaPing Xia ◽

ChenXiao Cai ◽

MingHui Yin ◽

Yun Zou

Keyword(s):

Riccati Equation ◽

Upper Bounds ◽

Algebraic Riccati Equation

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On upper bounds for the unified algebraic Riccati equation

Systems & Control Letters ◽

10.1016/s0167-6911(97)00071-6 ◽

1997 ◽

Vol 32 (4) ◽

pp. 235-239 ◽

Cited By ~ 5

Author(s):

Adam Czornik ◽

Aleksander Nawrat

Keyword(s):

Riccati Equation ◽

Upper Bounds ◽

Algebraic Riccati Equation

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Upper bounds on the solution of coupled algebraic riccati equation

Journal of Inequalities and Applications ◽

10.1155/s1025583401000224 ◽

2001 ◽

Vol 2001 (4) ◽

pp. 284091 ◽

Cited By ~ 8

Author(s):

Adam Czornik ◽

Andrzej Świerniak

Keyword(s):

Riccati Equation ◽

Upper Bounds ◽

Algebraic Riccati Equation ◽

Bounds On The Solution

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New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems

Automatica ◽

10.1016/j.automatica.2020.108936 ◽

2020 ◽

Vol 116 ◽

pp. 108936

Author(s):

Jianzhou Liu ◽

Li Wang ◽

Ying Bai

Keyword(s):

Riccati Equation ◽

Upper Bounds ◽

Algebraic Riccati Equation ◽

Redundant Control

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An extension on a new formulation of the algebraic Riccati equation problem

IEEE Transactions on Automatic Control ◽

10.1109/tac.1983.1103208 ◽

1983 ◽

Vol 28 (2) ◽

pp. 235-238 ◽

Cited By ~ 10

Author(s):

F. Incertis

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Equation Problem ◽

New Formulation

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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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Sensitivity analysis and computable bounds for the generalized algebraic Riccati equation

Proceedings of 1994 American Control Conference - ACC '94 ◽

10.1109/acc.1994.735048 ◽

2005 ◽

Author(s):

R. Aripirala ◽

V.L. Syrmos

Keyword(s):

Sensitivity Analysis ◽

Riccati Equation ◽

Algebraic Riccati Equation

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Hamiltonian QR-algorithm for the Solving Algebraic Riccati Equation and Hessenberg Hamiltonian Matrices

1991 American Control Conference ◽

10.23919/acc.1991.4791840 ◽

1991 ◽

Author(s):

Leonid E. Faybusovich

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Qr Algorithm

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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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New unified matrix upper bound on the solution of the continuous coupled algebraic Riccati equation

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2015.01.008 ◽

2016 ◽

Vol 353 (5) ◽

pp. 1233-1247 ◽

Cited By ~ 3

Author(s):

Jianhong Xu ◽

Prasanthan Rajasingam

Keyword(s):

Riccati Equation ◽

Upper Bound ◽

Algebraic Riccati Equation

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