DocumentCode
1333292
Title
A complete stability analysis of planar linear systems under saturation
Author
Hu, Tingshu ; Lin, Zongli
Author_Institution
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Volume
47
Issue
4
fYear
2000
fDate
4/1/2000 12:00:00 AM
Firstpage
498
Lastpage
512
Abstract
A complete stability analysis is performed on a planar system of the form x˙=σ(Ax) where A is a Hurwitz matrix and σ is the saturation function. Necessary and sufficient conditions for the system to be globally asymptotically stable (GAS) or to have a closed trajectory are explicitly given in terms of the entries of A. These conditions also indicate that the system always has a closed trajectory if it is not GAS
Keywords
asymptotic stability; linear systems; Hurwitz matrix; closed trajectory; global asymptotic stability; planar linear system; saturation function; Analog circuits; Circuit stability; Control nonlinearities; Control systems; Linear systems; Neural networks; Nonlinear control systems; Stability analysis; Sufficient conditions; Transmission line matrix methods;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.841852
Filename
841852
Link To Document