Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems
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Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino
Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems
ABC
Series Advisory Board P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis
Authors Graziano Chesi, PhD
Alberto Tesi, PhD
University of Hong Kong Department of Electrical and Electronic Engineering Chow Yei Ching Building Pokfulam Road Hong Kong P.R. China E-mail: [email protected]
Università di Firenze Facoltà di Ingegneria Dipartimento di Sistemi e Informatica Via di Santa Marta 3 50139 Firenze Italy E-mail: [email protected]fi.it
Andrea Garulli, PhD
Antonio Vicino, PhD
Università di Siena Dipartimento di Ingegneria dell’Informazione Via Roma 56 53100 Siena Italy E-mail: [email protected]
Università di Siena Dipartimento di Ingegneria dell’Informazione Via Roma 56 53100 Siena Italy E-mail: [email protected]
ISBN 978-1-84882-780-6
e-ISBN 978-1-84882-781-3
DOI 10.1007/978-1-84882-781-3 Lecture Notes in Control and Information Sciences
ISSN 0170-8643
Library of Congress Control Number: Applied for c 2009
Springer-Verlag Berlin Heidelberg
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To Shing Chee and Isabella (GC)
To Maria, Giovanni, and Giacomo (AG)
To Nicoletta, Andrea, and Bianca (AT)
To Maria Teresa and Ludovico (AV)
Preface
It is well known that a large number of problems relevant to the control field can be formulated as optimization problems. For long time, the classical approach has been to look for a closed form solution to the specific optimization problems at hand. The last decade has seen a noticeable shift in the meaning of “closed form” solution. The formidable increase of computational power has dramatically changed the feeling of theoreticians as well as of practitioners about what is meant by tractable and untractable problems. A main issue regards convexity. From a theoretical viewpoint, there has been a large amount of work in the directions of
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