Duality and Approximation Methods for Cooperative Optimization and Control

Mathias Bürger

ISBN 978-3-8325-3624-4
162 pages, year of publication: 2014
price: 35.00 €
This thesis investigates the role of duality and the use of approximation methods in cooperative optimization and control.

Concerning cooperative optimization, a general algorithm for convex optimization in networks with asynchronous communication is presented. Based on the idea of polyhedral approximations, a family of distributed algorithms is developed to solve a variety of distributed decision problems, ranging from semi-definite and robust optimization problems up to distributed model predictive control.

Optimization theory, and in particular duality theory, are shown to be central elements also in cooperative control. This thesis establishes an intimate relation between passivity-based cooperative control and network optimization theory. The presented results provide a complete duality theory for passivity-based cooperative control and lead the way to novel analysis tools for complex dynamic phenomena.

In this way, this thesis presents theoretical insights and algorithmic approaches for cooperative optimization and control, and emphasizes the role of convexity and duality in this field.

cover cover cover cover cover cover cover cover cover
Table of contents (PDF)


  • Distributed Algorithms
  • Convex Optimization
  • Cooperative Control
  • Passivity
  • Network Theory


35.00 €
in stock

34.00 €
45.00 €
49.00 €

(D) = Within Germany
(W) = Abroad

*You can purchase the eBook (PDF) alone or combined with the printed book (eBundle). In both cases we use the payment service of PayPal for charging you - nevertheless it is not necessary to have a PayPal-account. With purchasing the eBook or eBundle you accept our licence for eBooks.

For multi-user or campus licences (MyLibrary) please fill in the form or write an email to