By Topic

The Credible Regions on the Approximate Stability Boundaries of Nonlinear Dynamic 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

4 Author(s)
Yong Min ; Tsinghua Univ., Beijing ; Lei Chen ; Kaiyuan Hou ; Yonghua Song

The stability boundary of a nonlinear dynamic system may often be constructed from stable manifolds of type-1 equilibrium points. These stable manifolds are typically approximated numerically, with only local validity. A numerical method is proposed, based on 1- and 2-D characteristic invariant manifolds (CIMs) which lie on the stable manifold and can be computed with greater accuracy than approximations to the entire manifold because of their lower dimension, to estimate credible regions in which the mismatch between the approximate and actual boundaries is below a threshold.

Published in:

Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 8 )