Cart (Loading....) | Create Account
Close category search window
 

Using Lyapunov Vectors and Dichotomy to Solve Hyper-Sensitive Optimal Control Problems

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

2 Author(s)
Ufuk Topcu ; Dept. of Mech. Eng., California Univ., Berkeley, CA ; Mease, K.D.

The dichotomic basis method for solving completely hyper-sensitive optimal control problems is modified by using Lyapunov exponents and vectors. It is shown that the asymptotic Lyapunov vectors form dichotomic transformations that decouple the unstable dynamics from the stable dynamics. For numerical implementation, finite-time Lyapunov vectors are used to approximate the asymptotic Lyapunov vectors and to construct an approximate dichotomic basis. A reinitialization process is introduced to decrease the error accumulation. The new basis identifies the stable and unstable directions more accurately than the eigenvectors of the Jacobian matrix

Published in:

Decision and Control, 2006 45th IEEE Conference on

Date of Conference:

13-15 Dec. 2006

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.