Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems [Paperback]

This book presents a number of techniques for robustness analysis of uncertain systems. In it, convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogenous polynomial forms.

Positive Forms.- Positivity Gap.- Robustness with Time-varying Uncertainty.- Robustness with Time-invariant Uncertainty.- Robustness with Bounded-rate Time-varying Uncertainty.- Distance Problems with Applications to Robust Control.

From the reviews:

The book describes convex optimization techniques to deal with stability and performance evaluation for linear dynamical systems subject to parametric uncertainty. & In summary, the book is a welcome and timely addition to the technical literature, written by leading experts in the field. It is aimed at systems and control researchers willing to explore further than mainstream LMI Lyapunov analysis techniques, with the possibility of trading off between conservatism and computational burden.??? (Didier Henrion, Mathematical Reviews, Issue 2010 g)

Allows the reader to increase the robustness of control systems subject to uncertainties thanks to striking advances in convex optimization

Draws together a number of well-established tools in control and system theory so that the reader can see how they interact and make use of all of them in an appropriate balance

GB