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

Optimal control of a class of nonlinear systems on Hilbert space

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

1 Author(s)
Ahmed, N. ; University of Ottawa, Ottawa, Ontario, Canada

This paper presents necessary and sufficient conditions for the existence of an optimal control for a class of nonlinear systems described by an infinite series of Volterra type. Variational methods are applied to minimize quadratic cost functionals leading to a class of nonlinear integral equations. Sufficient conditions for the existence and uniqueness of a solution of this integral equation are presented using abstract analysis. To the best knowledge of the author these results are new. The technique presented here applies to linear and nonlinear stationary and time-varying systems described by input-output functional relations through finite or infinite Volterra series. An example of nonlinear systems described by an infinite series of Volterra type is presented for illustration.

Published in:

Automatic Control, IEEE Transactions on  (Volume:14 ,  Issue: 6 )

Date of Publication:

Dec 1969

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.