Spectral norm and trace bounds of algebraic matrix Riccati equations

Upper bounds on spectral norm and trace for the solution of continuous algebraic matrix Riccati equations are proposed. The proposed bounds are based on a form of the general analytic solution. It is shown that, in many cases, the spectral norm and the trace bounds are better than other results.

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 41; no. 12; pp. 1828 - 1830
Main Authors Kang, Taesam, Kim, Byung Soo, Lee, Jang Gyu
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.12.1996
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Automatic control
Computer science; control theory; systems
Control theory. Systems
Eigenvalues and eigenfunctions
Exact sciences and technology
Filtering theory
Filters
Instruments
Optimal control
Riccati equations
Stability analysis
Symmetric matrices
System theory
Upper bound
Trace
Algebraic equation
Upper bound
Systems theory
Riccati equation
Matrix equation
Online AccessGet full text

Cover

More Information
Summary:Upper bounds on spectral norm and trace for the solution of continuous algebraic matrix Riccati equations are proposed. The proposed bounds are based on a form of the general analytic solution. It is shown that, in many cases, the spectral norm and the trace bounds are better than other results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/9.545751