By Topic

Stability multipliers for memoryless positive nonlinearities: parameterizations based on the nonlinearity graph

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
$33 $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)
V. V. Kulkarni ; Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA ; L. Y. Pao ; P. L. Falb

We establish that the class of all multipliers that preserve the positivity of a given memoryless positive nonlinearity can be derived by parameterizing the Zames-Falb multipliers, provided certain quantitative information concerning the nonlinearity graph is available. Further, we extend this result to derive the class of all positivity preserving multipliers for a repeated memoryless positive nonlinearity when such information concerning its graph is available. These results are useful in reducing the conservatism inherent in the prevalent multiplier theoretic stability analysis techniques

Published in:

2006 American Control Conference

Date of Conference:

14-16 June 2006