Jump to Content
Your Recent History
View Cart
Logged Out Log In
SIAM J. Control Optim. 50, pp. 1-22 (22 pages)
A Lyapunov Inequality Characterization of and a Riccati Inequality Approach to $L_{\infty}$ and $L_{2}$ Low Gain Feedback
Alerts
Alert Me When Cited
Alert Me When Corrected
Tools
Download Citation
Add to MyScitation
Blog This Article
Print-Friendly
Research Toolkit
Share
Email Abstract
Connotea
CiteULike
del.icio.us
BibSonomy
Tweet this Article
Add to FacebookThis paper is concerned with a Lyapunov inequality characterization of the eigenstructure assignment–based low gain feedback laws. With this characterization and our earlier characterizations of other low gain feedback design approaches, all existing low gain feedback designs are unified under this Lyapunov inequality framework, which in turn implies that all of these low gain feedback laws are both $L_{\infty}$ and $L_{2}$ low gain feedback. This Lyapunov inequality characterization also leads to a quadratic Lyapunov function for the closed-loop system, which is expected to play an important role in solving other control problems. This characterization also motivates a new Riccati inequality–based low gain feedback design, which not only possesses the appealing features of the existing low gain designs but also is computationally easy to carry out.
© 2012 Society for Industrial and Applied Mathematics
RELATED DATABASES
To view database links for this article,
you need to log in.
KEYWORDS
PUBLICATION DATA
ARTICLE DATA
History
Received September 24, 2010
Accepted July 27, 2011
Published online January 03, 2012
Accepted July 27, 2011
Published online January 03, 2012
Digital Object Identifier
For access to fully linked references, you need to log in.
ALL SIAM Content
Scitation
Google Scholar