By Topic

On stability domain estimation via a quadratic Lyapunov function: convexity and optimality properties for polynomial systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Tesi, A. ; Dipartimento di Sistemi e Inf., Firenze Univ., Italy ; Villoresi, F. ; Genesio, R.

The problem of estimating the stability domain of the origin of an n-order polynomial system is considered. Exploiting the structure of this class of systems it is shown that, for a given quadratic Lyapunov function, an estimate of the stability domain can be obtained by solving a suitable convex optimization problem. This estimate is shown to be optimal for an important subclass including both quadratic and cubic systems and its accuracy in the general polynomial case is discussed via several examples

Published in:

Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on  (Volume:2 )

Date of Conference:

14-16 Dec 1994