Exact line search method for solving nonsymmetric algebraic riccati equations arising from open-loop linear quadratic differential games

2016 International Conference on Instrumentation, Control and Automation (ICA) ◽

10.1109/ica.2016.7811484 ◽

2016 ◽

Author(s):

Kirtyana Nindita ◽

Salmah

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Line Search ◽

Open Loop ◽

Search Method ◽

Linear Quadratic ◽

Algebraic Riccati Equations ◽

Exact Line Search ◽

Line Search Method ◽

Linear Quadratic Differential Games

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On the solution of the open-loop Nash Riccati equations in linear quadratic differential games

International Journal of Control ◽

10.1080/00207177308932486 ◽

1973 ◽

Vol 18 (1) ◽

pp. 57-63 ◽

Cited By ~ 27

Author(s):

M. SIMAAN ◽

J. B. CRUZ

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Riccati Equations ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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An exact line search method for solving generalized continuous-time algebraic Riccati equations

IEEE Transactions on Automatic Control ◽

10.1109/9.654908 ◽

1998 ◽

Vol 43 (1) ◽

pp. 101-107 ◽

Cited By ~ 67

Author(s):

P. Benner ◽

R. Byers

Keyword(s):

Continuous Time ◽

Line Search ◽

Riccati Equations ◽

Search Method ◽

Algebraic Riccati Equations ◽

Exact Line Search ◽

Line Search Method

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Open-loop Nash equilibrium of N-person nonzero sum linear-quadratic differential games with magnitude restraints

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(74)90245-5 ◽

1974 ◽

Vol 46 (2) ◽

pp. 352-357 ◽

Cited By ~ 7

Author(s):

Ronald J Stern

Keyword(s):

Nash Equilibrium ◽

Differential Games ◽

Quadratic Differential ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Numerical solution of special algebraic Riccati equations via an exact line search method

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082591 ◽

1997 ◽

Cited By ~ 11

Author(s):

Peter Benner

Keyword(s):

Numerical Solution ◽

Line Search ◽

Riccati Equations ◽

Search Method ◽

Algebraic Riccati Equations ◽

Exact Line Search ◽

Line Search Method

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Nonexistence and nonuniqueness of open-loop equilibria in linear-quadratic differential games

Journal of Optimization Theory and Applications ◽

10.1007/bf00934951 ◽

1982 ◽

Vol 37 (4) ◽

pp. 443-468 ◽

Cited By ~ 25

Author(s):

T. Eisele

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Existence and Uniqueness of Open-Loop Stackelberg Equilibria in Linear-Quadratic Differential Games

Journal of Optimization Theory and Applications ◽

10.1023/a:1017532210579 ◽

2001 ◽

Vol 110 (3) ◽

pp. 515-544 ◽

Cited By ~ 33

Author(s):

G. Freiling ◽

G. Jank ◽

S. R. Lee

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Existence And Uniqueness ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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Some new results on algebraic Riccati equations arising in linear quadratic differential games and the stabilization of uncertain linear systems

Systems & Control Letters ◽

10.1016/0167-6911(88)90024-2 ◽

1988 ◽

Vol 10 (5) ◽

pp. 341-348 ◽

Cited By ~ 33

Author(s):

Ian R. Petersen

Keyword(s):

Linear Systems ◽

Differential Games ◽

Quadratic Differential ◽

Riccati Equations ◽

Linear Quadratic ◽

Algebraic Riccati Equations ◽

Linear Quadratic Differential Games ◽

Uncertain Linear Systems

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Linear quadratic differential games with mixed leadership: The open-loop solution

Numerical Algebra Control & Optimization ◽

10.3934/naco.2013.3.95 ◽

2013 ◽

Vol 3 (1) ◽

pp. 95-108 ◽

Cited By ~ 8

Author(s):

Alain Bensoussan ◽

◽

Shaokuan Chen ◽

Suresh P. Sethi

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Open Loop ◽

Linear Quadratic ◽

Linear Quadratic Differential Games

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DECENTRALIZED LINEAR-QUADRATIC DIFFERENTIAL GAMES WITH INCENTIVES11Acknowledgement: The author would like to thank Prof Y C Ho for some very helpful discussions.22This research was partially supported by the National Science Foundation under Grant NSF-ENG-78-15231 and by a grant from Control Data.

Dynamic Modelling and Control of National Economies 1983 ◽

10.1016/b978-0-08-030557-8.50044-8 ◽

1984 ◽

pp. 275-280

Author(s):

M. Pachter

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

National Science Foundation ◽

Linear Quadratic ◽

Control Data ◽

Linear Quadratic Differential Games ◽

National Science

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On the uniqueness of the Nash solution in Linear-Quadratic differential Games

International Journal of Game Theory ◽

10.1007/bf01753310 ◽

1976 ◽

Vol 5 (2-3) ◽

pp. 65-90 ◽

Cited By ~ 60

Author(s):

T. Basar

Keyword(s):

Differential Games ◽

Quadratic Differential ◽

Nash Solution ◽

Linear Quadratic ◽

Linear Quadratic Differential Games ◽

The Nash Solution

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