Homogeneous polynomial forms for robustness analysis of uncertain systems

✍ Scribed by Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino (auth.)

Publisher: Springer-Verlag London
Year: 2009
Tongue: English
Leaves: 208
Series: Lecture notes in control and information sciences 390
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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)

✦ Table of Contents

Front Matter....Pages -
Positive Forms....Pages 1-37
Positivity Gap....Pages 39-61
Robustness with Time-varying Uncertainty....Pages 63-97
Robustness with Time-invariant Uncertainty....Pages 99-132
Robustness with Bounded-rate Time-varying Uncertainty....Pages 133-153
Distance Problems with Applications to Robust Control....Pages 155-175
Back Matter....Pages -

✦ Subjects

Control; Systems Theory, Control; Vibration, Dynamical Systems, Control; Optimization; Control , Robotics, Mechatronics

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