Algorithms of constructing a stabilizing solution of the algebraic Riccati equation based on its linear reduction in the problems of analytical construction of controllers

Journal of Computer and Systems Sciences International ◽

10.1134/s106423070806004x ◽

2008 ◽

Vol 47 (6) ◽

pp. 866-880

Author(s):

A. T. Barabanov

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution ◽

Analytical Construction ◽

Linear Reduction

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The Stabilizing Solution of the Algebraic Riccati Equation

SIAM Journal on Control ◽

10.1137/0311021 ◽

1973 ◽

Vol 11 (2) ◽

pp. 262-271 ◽

Author(s):

B. P. Molinari

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution

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Stabilizing Solution and Parameter Dependence of Modified Algebraic Riccati Equation With Application to Discrete-Time Network Synchronization

IEEE Transactions on Automatic Control ◽

10.1109/tac.2015.2434011 ◽

2016 ◽

Vol 61 (1) ◽

pp. 228-233 ◽

Author(s):

Michael Z. Q. Chen ◽

Liangyin Zhang ◽

Housheng Su ◽

Guanrong Chen

Keyword(s):

Riccati Equation ◽

Discrete Time ◽

Parameter Dependence ◽

Algebraic Riccati Equation ◽

Network Synchronization ◽

Stabilizing Solution

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A note on the stabilizing solution of the algebraic Riccati equation†

International Journal of Control ◽

10.1080/00207177408932733 ◽

1974 ◽

Vol 20 (2) ◽

pp. 239-241 ◽

Author(s):

M. SIMAAN

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution

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The stabilizing solution of the discrete algebraic riccati equation

IEEE Transactions on Automatic Control ◽

10.1109/tac.1975.1100983 ◽

1975 ◽

Vol 20 (3) ◽

pp. 396-399 ◽

Author(s):

B. Molinari

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution ◽

Discrete Algebraic Riccati Equation

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On the Existence of a Mean-Square Stabilizing Solution to a Modified Algebraic Riccati Equation

IFAC Proceedings Volumes ◽

10.3182/20140824-6-za-1003.01183 ◽

2014 ◽

Vol 47 (3) ◽

pp. 6988-6993 ◽

Author(s):

Jianying Zheng ◽

Li Qiu

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Mean Square ◽

Stabilizing Solution

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On the uniqueness of the almost stabilizing solution of the modified algebraic Riccati equation

2016 35th Chinese Control Conference (CCC) ◽

10.1109/chicc.2016.7554516 ◽

2016 ◽

Author(s):

Liangyin Zhang ◽

Michael Z. Q. Chen ◽

Chanying Li

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution

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The semi-stabilizing solution of generalized algebraic Riccati equation for descriptor systems

10.1016/s0005-1098(02)00073-0 ◽

2002 ◽

Vol 38 (10) ◽

pp. 1651-1662 ◽

Author(s):

Atsushi Kawamoto ◽

Tohru Katayama

Keyword(s):

Riccati Equation ◽

Descriptor Systems ◽

Algebraic Riccati Equation ◽

Stabilizing Solution

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A stabilizing solution to the algebraic Riccati equation the resolvent method

Journal of Computer and Systems Sciences International ◽

10.1134/s1064230708030052 ◽

2008 ◽

Vol 47 (3) ◽

pp. 362-373 ◽

Author(s):

A. T. Barabanov

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution ◽

Resolvent Method

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Modified Algebraic Riccati Equation Closed-Form Stabilizing Solution

IEEE Access ◽

10.1109/access.2021.3119592 ◽

2021 ◽

pp. 1-1

Author(s):

Alejandro J. Rojas

Keyword(s):

Closed Form ◽

Riccati Equation ◽

Algebraic Riccati Equation ◽

Stabilizing Solution

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Existence of a Mean-Square Stabilizing Solution to a Modified Algebraic Riccati Equation

SIAM Journal on Control and Optimization ◽

10.1137/16m1098255 ◽

2018 ◽

Vol 56 (1) ◽

pp. 367-387 ◽

Author(s):

Jianying Zheng ◽

Li Qiu

Keyword(s):

Riccati Equation ◽

Algebraic Riccati Equation ◽

Mean Square ◽

Stabilizing Solution

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