Name: Design of Distributed and Robust Optimization Algorithms: A Systems Theoretic Approach (en Inglés)
Price: 100.16 USD
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Author: Simon Michalowsky
ISBN: 9783832550905

portada Design of Distributed and Robust Optimization Algorithms: A Systems Theoretic Approach (en Inglés)

Design of Distributed and Robust Optimization Algorithms: A Systems Theoretic Approach (en Inglés)

Formato

Libro Físico

Editorial

Logos Verlag Berlin

Autor

Simon Michalowsky

Idioma

Inglés

N° páginas

165

Encuadernación

Tapa Blanda

ISBN13

9783832550905

Design of Distributed and Robust Optimization Algorithms: A Systems Theoretic Approach (en Inglés)

Simon Michalowsky (Autor) · Logos Verlag Berlin · Tapa Blanda

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Reseña del libro "Design of Distributed and Robust Optimization Algorithms: A Systems Theoretic Approach (en Inglés)"

Optimization algorithms are the backbone of many modern technologies. In this thesis, we address the analysis and design of optimization algorithms from a systems theoretic viewpoint. By properly recasting the algorithm design as a controller synthesis problem, we derive methods that enable a systematic design of tailored optimization algorithms. We consider two specific classes of optimization algorithms: (i) distributed, and (ii) robust optimization algorithms. Concerning (i), we utilize ideas from geometric control in an innovative fashion to derive a novel methodology that enables the design of distributed optimization algorithms under minimal assumptions on the graph topology and the structure of the optimization problem. Concerning (ii), we employ robust control techniques to establish a framework for the analysis of existing algorithms as well as the design of novel robust optimization algorithms with specified guarantees.