Computational Experience in Solving Continuous-time Algebraic Riccati Equations using Standard and Modified Newton’s Method

Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics ◽

10.5220/0004482500050016 ◽

2013 ◽

Keyword(s):

Newton’S Method ◽

Continuous Time ◽

Newton's Method ◽

Riccati Equations ◽

Computational Experience ◽

Algebraic Riccati Equations ◽

Modified Newton’S Method

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Solving SLICOT benchmarks for algebraic Riccati equations by modified Newton's method

2013 17th International Conference on System Theory, Control and Computing (ICSTCC) ◽

10.1109/icstcc.2013.6689006 ◽

2013 ◽

Cited By ~ 1

Author(s):

Vasile Sima

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Modified Newton’S Method

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A SLICOT Implementation of a Modified Newton's Method for Algebraic Riccati Equations

2006 14th Mediterranean Conference on Control and Automation ◽

10.1109/med.2006.328740 ◽

2006 ◽

Cited By ~ 2

Author(s):

V. Sima ◽

P. Benner

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Modified Newton’S Method

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Numerical Investigation of Newton’s Method for Solving Continuous-time Algebraic Riccati Equations

Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics ◽

10.5220/0005117004040409 ◽

2014 ◽

Cited By ~ 1

Author(s):

Vasile Sima ◽

Peter Benner

Keyword(s):

Numerical Investigation ◽

Newton’S Method ◽

Continuous Time ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Initializing Newton's method for discrete-time algebraic Riccati equations using the butterfly SZ algorithm

Proceedings of the 1999 IEEE International Symposium on Computer Aided Control System Design (Cat. No.99TH8404) ◽

10.1109/cacsd.1999.808626 ◽

2003 ◽

Author(s):

H. Fassbender ◽

P. Benner

Keyword(s):

Discrete Time ◽

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Inexact Newton’s method with inner implicit preconditioning for algebraic Riccati equations

Computational and Applied Mathematics ◽

10.1007/s40314-015-0274-8 ◽

2015 ◽

Vol 36 (2) ◽

pp. 955-969 ◽

Cited By ~ 3

Author(s):

Jean-Paul Chehab ◽

Marcos Raydan

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Newton's Method for Discrete Algebraic Riccati Equations when the Closed-Loop Matrix Has Eigenvalues on the Unit Circle

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479897322999 ◽

1998 ◽

Vol 20 (2) ◽

pp. 279-294 ◽

Cited By ~ 24

Author(s):

Chun-Hua Guo

Keyword(s):

Unit Circle ◽

Newton’S Method ◽

Newton's Method ◽

Closed Loop ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Loop Matrix

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Solving algebraic Riccati equations on parallel computers using Newton's method with exact line search

Parallel Computing ◽

10.1016/s0167-8191(00)00012-0 ◽

2000 ◽

Vol 26 (10) ◽

pp. 1345-1368 ◽

Cited By ~ 18

Author(s):

Peter Benner ◽

Ralph Byers ◽

Enrique S Quintana-Ortı́ ◽

Gregorio Quintana-Ortı́

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Line Search ◽

Riccati Equations ◽

Parallel Computers ◽

Algebraic Riccati Equations ◽

Exact Line Search

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Numerical Investigation of Newton’s Method for Solving Discrete-time Algebraic Riccati Equations

Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics ◽

10.5220/0006860600760085 ◽

2018 ◽

Author(s):

Vasile Sima ◽

Peter Benner

Keyword(s):

Numerical Investigation ◽

Discrete Time ◽

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Numerical Investigation of Newton’s Method for Solving Discrete-time Algebraic Riccati Equations

Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics ◽

10.5220/0006860600660075 ◽

2018 ◽

Cited By ~ 1

Author(s):

Vasile Sima ◽

Peter Benner

Keyword(s):

Numerical Investigation ◽

Discrete Time ◽

Newton’S Method ◽

Newton's Method ◽

Riccati Equations ◽

Algebraic Riccati Equations

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Computational Experience with a Modified Newton Solver for Continuous-Time Algebraic Riccati Equations

Informatics in Control, Automation and Robotics - Lecture Notes in Electrical Engineering ◽

10.1007/978-3-319-10891-9_3 ◽

2014 ◽

pp. 55-71 ◽

Cited By ~ 1

Author(s):

Vasile Sima

Keyword(s):

Continuous Time ◽

Riccati Equations ◽

Computational Experience ◽

Algebraic Riccati Equations

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