Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations

G. Freiling; G. Jank

doi:10.1007/bf02254701

Existence and comparison theorems for algebraic Riccati equations and Riccati differential and difference equations

Journal of Dynamical and Control Systems ◽

10.1007/bf02254701 ◽

1996 ◽

Vol 2 (4) ◽

pp. 529-547 ◽

Cited By ~ 30

Author(s):

G. Freiling ◽

G. Jank

Keyword(s):

Difference Equations ◽

Riccati Equations ◽

Comparison Theorems ◽

Algebraic Riccati Equations

Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems

Linear Algebra and its Applications ◽

10.1016/0024-3795(88)90125-5 ◽

1988 ◽

Vol 99 ◽

pp. 63-83 ◽

Cited By ~ 115

Author(s):

A.C.M. Ran ◽

R. Vreugdenhil

Keyword(s):

Discrete Time ◽

Riccati Equations ◽

Comparison Theorems ◽

Algebraic Riccati Equations ◽

Discrete Time Systems ◽

Time Systems

Solution of algebraic riccati equations using the sum of roots

Proceedings of the 2009 international symposium on Symbolic and algebraic computation - ISSAC '09 ◽

10.1145/1576702.1576733 ◽

2009 ◽

Cited By ~ 3

Author(s):

Masaaki Kanno ◽

Kazuhiro Yokoyama ◽

Hirokazu Anai ◽

Shinji Hara

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

Solving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113447 ◽

2021 ◽

Vol 391 ◽

pp. 113447

Author(s):

Peter Chang-Yi Weng

Keyword(s):

Large Scale ◽

Riccati Equations ◽

Two Dimensional ◽

Transport Models ◽

Algebraic Riccati Equations

A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0140 ◽

2021 ◽

Vol 14 (3) ◽

pp. 650-691

Author(s):

Liqiang Dong

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

On an iterative algorithm to compute the positive stabilizing solution of generalized algebraic Riccati equations

2009 Chinese Control and Decision Conference ◽

10.1109/ccdc.2009.5192595 ◽

2009 ◽

Author(s):

Yantao Feng ◽

Brian D. O. Anderson

Keyword(s):

Iterative Algorithm ◽

Riccati Equations ◽

Algebraic Riccati Equations ◽

Stabilizing Solution

The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations

Dynamical Systems, Control, Coding, Computer Vision ◽

10.1007/978-3-0348-8970-4_8 ◽

1999 ◽

pp. 157-172 ◽

Cited By ~ 1

Author(s):

Peter Lancaster

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations

5. Abstract algebraic Riccati equations: Existence and uniqueness

Differential and Algebraic Riccati Equations with Application to Boundary/Point Control Problems: Continuous Theory and Approximation Theory - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006885 ◽

2005 ◽

pp. 35-50

Keyword(s):

Existence And Uniqueness ◽

Riccati Equations ◽

Algebraic Riccati Equations

The convergence analysis of an accelerated iteration for solving algebraic Riccati equations

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.11.003 ◽

2021 ◽

Author(s):

Chun-Yueh Chiang

Keyword(s):

Convergence Analysis ◽

Riccati Equations ◽

Algebraic Riccati Equations

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

On dual algebraic Riccati equations

IEEE Transactions on Automatic Control ◽

10.1109/9.75114 ◽

1991 ◽

Vol 36 (4) ◽

pp. 511-512 ◽

Cited By ~ 2

Author(s):

L.-F. Wei ◽

F.-B. Yeh

Keyword(s):

Riccati Equations ◽

Algebraic Riccati Equations