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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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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New solution bounds of the continuous algebraic Riccati equation and their applications in redundant control input systems

Science China Information Sciences ◽

10.1007/s11432-017-9553-5 ◽

2019 ◽

Vol 62 (10) ◽

Cited By ~ 3

Author(s):

Jianzhou Liu ◽

Li Wang

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Control Input ◽

Redundant Control

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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 in the algebraic Riccati equation under perturbations of the coefficients

10.1109/cdc.1990.203448 ◽

1990 ◽

Author(s):

S. Peng ◽

C.E. de Souza

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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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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