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

High gain limit for boundary controlled convective reaction diffusion equations

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)
Byrnes, C.I. ; Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA ; Gilliam, D.S. ; Okasha, N. ; Shubov, V.I.

Considers a general class of dynamical systems governed by nonlinear partial differential equations of convective reaction diffusion type. Generalizing earlier work for a boundary controlled Burgers' equation, the authors introduce a closed loop boundary control system with dynamics in the state space of square integrable functions on a finite interval. For small square integrable initial data and small time dependent disturbances, the authors show that as the closed loop gains tend to infinity, the trajectories of the closed loop system converge in the mean square sense to the trajectories of the zero dynamics, i.e., the systems obtained by constraining the system output to zero. For slightly stronger assumptions on the external forcing term (disturbance) the authors show that the trajectories converge uniformly

Published in:

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on  (Volume:3 )

Date of Conference:

13-15 Dec 1995

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.