Backward error for the discrete-time algebraic riccati equation

被引：10

作者：

Sun, JG

机构：

[1] Department of Computing Science, Umeå University

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 259卷

关键词：

D O I：

10.1016/S0024-3795(96)00283-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The normwise backward error of an approximate solution to the discrete-time algebraic Riccati equation is evaluated. The results are illustrated by using simple numerical examples. (C) Elsevier Science Inc., 1997.

引用

页码：183 / 208

页数：26

共 50 条

[21] Existence and uniqueness of unmixed solutions of the discrete-time algebraic Riccati equation
Clements, DJ
Wimmer, HK
SYSTEMS & CONTROL LETTERS, 2003, 50 (05) : 343 - 346
[22] CONVERGENCE OF THE DOUBLING-ALGORITHM FOR THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION
KIMURA, M
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1988, 19 (05) : 701 - 711
[23] Residual bounds of approximate solutions of the discrete-time algebraic Riccati equation
Sun, JG
NUMERISCHE MATHEMATIK, 1998, 78 (03) : 463 - 478
[24] On the structure of the solutions of the constrained generalized discrete-time algebraic Riccati equation
Ntogramatzidis, Lorenzo
Ferrante, Augusto
2016 EUROPEAN CONTROL CONFERENCE (ECC), 2016, : 1383 - 1388
[25] Residual bounds of approximate solutions of the discrete-time algebraic Riccati equation
Ji-guang Sun
Numerische Mathematik, 1998, 78 : 463 - 478
[26] FURTHER COMMENTS ON ON THE NUMERICAL-SOLUTION OF THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION
LAUB, AJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) : 1252 - 1253
[27] Stabilizing Solution for a Discrete-Time Modified Algebraic Riccati Equation in Infinite Dimensions
Ungureanu, Viorica Mariela
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
[28] The discrete-time generalized algebraic Riccati equation: Order reduction and solutions' structure
Ntogramatzidis, Lorenzo
Ferrante, Augusto
SYSTEMS & CONTROL LETTERS, 2015, 75 : 84 - 93
[29] The algebraic Riccati equation in discrete and continuous time
Staffans, OJ
CONTROL AND ESTIMATION OF DISTRIBUTED PARAMETER SYSTEMS, 1998, 126 : 267 - 277
[30] SCALING OF THE DISCRETE-TIME ALGEBRAIC RICCATI EQUATION TO ENHANCE STABILITY OF THE SCHUR SOLUTION - REPLY
GUDMUNDSSON, T
KENNEY, C
LAUB, AJ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (07) : 1160 - 1160

← 1 2 3 4 5 →