Dual forms and a proposed forward integration method for the matrix differential Riccati equation

Mapping Intimacies ◽

10.1117/12.174239 ◽

1994 ◽

Author(s):

J. Geoffrey Chase ◽

H. Allison Smith ◽

Wen-Hwa Wu

Keyword(s):

Riccati Equation ◽

Integration Method ◽

Differential Riccati Equation ◽

The Matrix ◽

Matrix Differential ◽

Dual Forms ◽

Forward Integration

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Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach

IEEE Transactions on Automatic Control ◽

10.1109/tac.2009.2033841 ◽

2010 ◽

Vol 55 (1) ◽

pp. 191-194 ◽

Cited By ~ 46

Author(s):

Z. Gajic

Keyword(s):

Riccati Equation ◽

Lyapunov Equation ◽

Equation Approach ◽

Differential Riccati Equation ◽

The Matrix ◽

Matrix Differential

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The reduced-order solution of the matrix differential Riccati equation of weakly coupled systems

IEEE International Conference on Systems Engineering ◽

10.1109/icsyse.1989.48710 ◽

1989 ◽

Author(s):

Su ◽

Gajic

Keyword(s):

Riccati Equation ◽

Coupled Systems ◽

Reduced Order ◽

Order Solution ◽

Differential Riccati Equation ◽

Weakly Coupled ◽

The Matrix ◽

Weakly Coupled Systems ◽

Matrix Differential

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Explicit symplectic-precise iteration algorithms for linear quadratic regulator and matrix differential Riccati equation

IEEE Access ◽

10.1109/access.2021.3100432 ◽

2021 ◽

pp. 1-1

Author(s):

Hong-Yan Zhang ◽

Jia-Zhen Luo ◽

Yu Zhou

Keyword(s):

Riccati Equation ◽

Linear Quadratic Regulator ◽

Linear Quadratic ◽

Differential Riccati Equation ◽

Matrix Differential

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Exact slow-fast decomposition of the singularly perturbed matrix differential Riccati equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.02.040 ◽

2010 ◽

Vol 216 (5) ◽

pp. 1401-1411 ◽

Cited By ~ 8

Author(s):

S. Koskie ◽

C. Coumarbatch ◽

Z. Gajic

Keyword(s):

Riccati Equation ◽

Singularly Perturbed ◽

Differential Riccati Equation ◽

Matrix Differential ◽

Fast Decomposition

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On the Singularly Perturbed Matrix Differential Riccati Equation

Proceedings of the 44th IEEE Conference on Decision and Control ◽

10.1109/cdc.2005.1582727 ◽

2006 ◽

Cited By ~ 1

Author(s):

Z. Gajic ◽

S. Koskie ◽

C. Coumarbatch

Keyword(s):

Riccati Equation ◽

Singularly Perturbed ◽

Differential Riccati Equation ◽

Matrix Differential

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Improved precise integration method for differential Riccati equation

Applied Mathematics and Mechanics ◽

10.1007/s10483-013-1648-8 ◽

2012 ◽

Vol 34 (1) ◽

pp. 1-14 ◽

Cited By ~ 3

Author(s):

Qiang Gao ◽

Shu-jun Tan ◽

Wan-xie Zhong ◽

Hong-wu Zhang

Keyword(s):

Riccati Equation ◽

Integration Method ◽

Precise Integration ◽

Precise Integration Method ◽

Differential Riccati Equation

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The recursive reduced-order numerical solution of the singularly perturbed matrix differential Riccati equation

IEEE Transactions on Automatic Control ◽

10.1109/9.1291 ◽

1988 ◽

Vol 33 (8) ◽

pp. 751-754 ◽

Cited By ~ 62

Author(s):

T. Grodt ◽

Z. Gajic

Keyword(s):

Numerical Solution ◽

Riccati Equation ◽

Singularly Perturbed ◽

Reduced Order ◽

Differential Riccati Equation ◽

Matrix Differential

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Exact Discretization of a Matrix Differential Riccati Equation With Constant Coefficients

IEEE Transactions on Automatic Control ◽

10.1109/tac.2008.2010976 ◽

2009 ◽

Vol 54 (5) ◽

pp. 1065-1068 ◽

Cited By ~ 3

Author(s):

K. Kittipeerachon ◽

N. Hori ◽

Y. Tomita

Keyword(s):

Riccati Equation ◽

Differential Riccati Equation ◽

Constant Coefficients ◽

Matrix Differential

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Solving the singularly perturbed matrix differential Riccati equation: A Lyapunov equation approach

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5530936 ◽

2010 ◽

Author(s):

Thang Nguyen ◽

Zoran Gajic

Keyword(s):

Riccati Equation ◽

Lyapunov Equation ◽

Singularly Perturbed ◽

Equation Approach ◽

Differential Riccati Equation ◽

Matrix Differential

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Recursive approximate solution to time-varying matrix differential Riccati equation: linear and nonlinear systems

International Journal of Systems Science ◽

10.1080/00207721.2018.1525623 ◽

2018 ◽

Vol 49 (13) ◽

pp. 2797-2807 ◽

Cited By ~ 2

Author(s):

Saeed Rafee Nekoo ◽

Mohsen Irani Rahaghi

Keyword(s):

Approximate Solution ◽

Nonlinear Systems ◽

Riccati Equation ◽

Time Varying ◽

Differential Riccati Equation ◽

Linear And Nonlinear ◽

Matrix Differential ◽

Linear And Nonlinear Systems

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