The existence uniqueness and the fixed iterative algorithm of the solution for the discrete coupled algebraic Riccati equation

The solution bounds and fixed point iterative algorithm for the discrete coupled algebraic Riccati equation applied to automatic control

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/dnw012 ◽

2016 ◽

pp. dnw012 ◽

Cited By ~ 2

Author(s):

Jianzhou Liu ◽

Li Wang ◽

Juan Zhang

Keyword(s):

Fixed Point ◽

Automatic Control ◽

Riccati Equation ◽

Iterative Algorithm ◽

New iterative algorithm for algebraic Riccati equation related to H/sub ∞/ control problem of singularly perturbed systems

IEEE Transactions on Automatic Control ◽

10.1109/9.956068 ◽

2001 ◽

Vol 46 (10) ◽

pp. 1659-1666 ◽

Cited By ~ 29

Author(s):

H. Mukaidani ◽

Hua Xu ◽

K. Mizukami

Keyword(s):

Control Problem ◽

Riccati Equation ◽

Iterative Algorithm ◽

Singularly Perturbed ◽

Singularly Perturbed Systems ◽

Perturbed Systems

An iterative algorithm for the solution of the discrete-time algebraic Riccati equation

Linear Algebra and its Applications ◽

10.1016/0024-3795(93)90476-5 ◽

1993 ◽

Vol 188-189 ◽

pp. 465-488 ◽

Cited By ~ 15

Author(s):

Lin-Zhang Lu ◽

Wen-Wei Lin

Keyword(s):

Riccati Equation ◽

Iterative Algorithm ◽

Discrete Time ◽

New matrix bounds, an existence uniqueness and a fixed-point iterative algorithm for the solution of the unified coupled algebraic Riccati equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2011.644276 ◽

2012 ◽

Vol 89 (4) ◽

pp. 527-542 ◽

Cited By ~ 2

Author(s):

Juan Zhang ◽

Jianzhou Liu

Keyword(s):

Fixed Point ◽

Riccati Equation ◽

Iterative Algorithm ◽

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 ◽

Equation Problem ◽

New Formulation

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 ◽

Discrete Algebraic Riccati Equation

Control Problems ◽

Lq Optimal Control ◽

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 ◽

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 ◽

Qr Algorithm

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 ◽

Lq Optimal Control

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 ◽