Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

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Chesi Graziano
Springer London Ltd
EAN: 9781848827806
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It is well known that a large number of problems relevant to the control ?eld can be formulatedas optimizationproblems. For long time, the classical approachhas been to look for a closed form solution to the speci?c optimizationproblems at hand. The last decade has seen a noticeable shift in the meaning of "closed form" solution. The formidable increase of computationalpower has dramatically changed the fe- ing of theoreticians as well as of practitioners about what is meant by tractable and untractableproblems. A main issue regardsconvexity. From a theoretical viewpoint, there has been a large amount of work in the directions of "convexifying" nonc- vex problems and studying structural features of convex problems. On the other hand, extremely powerful algorithmsfor the solution of convexproblemshave been devised in the last two decades. Clearly, the fact that a wide variety of engine- ing problems can be formulated as convex problems has strongly motivated efforts in this direction. The control ?eld is not an exception in this sense: many pr- lems in robust control, identi?cation and nonlinear control have been recognized as convex problems. Moreover, convex relaxations of nonconvex problems have been intensively investigated, as they provide an effective tool for bounding the optimal solution of the original problem. As far as robust control is concerned, it is known since long time that several classes of problemscan be reducedto testing positivity of suitable polynomials.
EAN 9781848827806
ISBN 1848827806
Typ produktu Mäkká väzba
Vydavateľ Springer London Ltd
Dátum vydania 20. júla 2009
Stránky 198
Jazyk English
Rozmery 235 x 155
Krajina United Kingdom
Čitatelia Professional & Scholarly
Autori Chesi Graziano; Garulli Andrea; Tesi Alberto; Vicino Antonio
Ilustrácie XVIII, 198 p. 17 illus.
Edícia 2009 ed.
Séria Lecture Notes in Control and Information Sciences
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