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This book comprises a selection of papers that were first presented
at the Robustness in Identification and Control Workshop, held in
Siena, July 30 - August 2, 1998. These are the latest contributions
to the field, from leading researchers worldwide. The common theme
underlying all of the contributions is the interplay between
information, uncertainty and complexity in dealing with modelling,
identification and control of dynamical systems. Papers cover
recent developments in research areas such as identification for
control and the classical area of robust control. There are a
number of real-world case studies where the most advanced
robustness analysis and synthesis techniques are applied to resolve
previously unsolved problems. The relevance of the topic to the
system engineering field, and the excellent scientific level of the
contributions combine to make this book an important acquisition
for engineers, control theorists and applied mathematicians.
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.
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