Asymptotic Attainability / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
$235.39
Used and New from Other Sellers
Used and New from Other Sellers
from $11.21
Usually ships in 1-2 business days
(Save 96%)
Other sellers (Hardcover)
  • All (7) from $11.21   
  • New (3) from $125.95   
  • Used (4) from $11.21   

Overview

This book deals with the construction of correct extensions of extremal problems including problems of multicriterial optimization and more general problems of optimization with respect to a cone. These questions need to be investigated, as extremal problems may be unstable with respect to either an attainable result, or with respect to solutions providing an optimal result (precisely or approximately). The methods of qualitative stability and asymptotically insensitive analysis proposed here are particularly applicable to problems of optimal control with integrally constrained openloop controls. A nontraditional mathematical tool using elements of finitely-additive measure theory is applied, which necessitated special research concerned with approximative analogues of the Radon-Nikodym property. These abstract constructions do, however, address the essence of the problem at hand, and may find other applications as well.
Audience: This volume will be useful to specialists and graduate students whose fields of interest include control theory and its applications, measure integration, functional analysis, optimal control, fuzzy sets and fuzzy logic, and general topology.

Read More Show Less

Editorial Reviews

Booknews
Chentsov (mathematics and mechanics, Russian Academy of Science) details the construction of correct extensions of extremal problems including problems of multicriterial optimization and more general problems of optimization with respect to cone. The proposed methods of qualitative stability and asymptotically insensitive analysis are applicable to problems of optimal control with integrally constrained openloop controls. The volume features a nontraditional mathematical tool using elements of finitely-additive measure theory which required special research with approximative analogues of the Radon-Nikodym property. Annotation c. by Book News, Inc., Portland, Or.
Read More Show Less

Product Details

  • ISBN-13: 9780792343028
  • Publisher: Springer Netherlands
  • Publication date: 11/30/1996
  • Series: Mathematics and Its Applications (closed) Series , #383
  • Edition description: 1997
  • Edition number: 1
  • Pages: 322
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.81 (d)

Table of Contents

Preface. 1. Asymptotically Attainable Elements: Model Examples. 2. Asymptotic Effects in Linear Control Problems with Integral Constraints. 3. Asymptotic Attainability: General Questions. 4. Asymptotic Attainability Under Perturbation of Integral Constraints. 5. Relaxations of Extremal Problems. 6. Some Generalizations. 7. Other Extension Constructions in the Space of Solutions. Conclusion. Index. List of Notations.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)