New Upper and Lower Eigenvalue Bounds for the Solution of the Continuous Algebraic Riccati Equation

Jianzhou Liu; Juan Zhang

doi:10.1002/asjc.580

New Upper and Lower Eigenvalue Bounds for the Solution of the Continuous Algebraic Riccati Equation

Asian Journal of Control ◽

10.1002/asjc.580 ◽

2012 ◽

Vol 16 (1) ◽

pp. 284-291 ◽

Cited By ~ 5

Author(s):

Jianzhou Liu ◽

Juan Zhang

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Lower Eigenvalue ◽

Eigenvalue Bounds

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The improved eigenvalue bounds for the solution of the discrete algebraic Riccati equation

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnv074 ◽

2016 ◽

pp. dnv074 ◽

Cited By ~ 1

Author(s):

Juan Zhang ◽

Jianzhou Liu ◽

Yaling Zha

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Eigenvalue Bounds ◽

Discrete Algebraic Riccati Equation

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A note on eigenvalue bounds in algebraic Riccati equation

IEEE Transactions on Automatic Control ◽

10.1109/tac.1983.1103123 ◽

1983 ◽

Vol 28 (1) ◽

pp. 109-111 ◽

Cited By ~ 25

Author(s):

V. Karanam

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Eigenvalue Bounds

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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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Solving the nonnegative solution for a (shifted) nonsymmetric algebraic Riccati equation in the critical case

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.12.052 ◽

2010 ◽

Vol 216 (6) ◽

pp. 1682-1686 ◽

Cited By ~ 4

Author(s):

Xiaoxia Guo ◽

Chuanxing Li

Keyword(s):

Riccati Equation ◽

Critical Case ◽

Nonnegative Solution ◽

Algebraic Riccati Equation ◽

Nonsymmetric Algebraic Riccati Equation

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Convergence of the standard RLS method andUDUTfactorisation of covariance matrix for solving the algebraic Riccati equation of the DLQR via heuristic approximate dynamic programming

International Journal of Systems Science ◽

10.1080/00207721.2013.844283 ◽

2013 ◽

Vol 46 (11) ◽

pp. 2006-2028 ◽

Cited By ~ 2

Author(s):

Patrícia Helena Moraes Rêgo ◽

João Viana da Fonseca Neto ◽

Ernesto M. Ferreira

Keyword(s):

Dynamic Programming ◽

Riccati Equation ◽

Covariance Matrix ◽

Approximate Dynamic Programming ◽

Algebraic Riccati Equation

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