Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

• Main Authors: Chesi, Graziano. (Author), Garulli, Andrea. (Author), Tesi, Alberto. (Author), Vicino, Antonio. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London, 2009.
• Series: Lecture Notes in Control and Information Sciences, 390
• Subjects: Engineering.; Systems theory.; Mathematical optimization.; Vibration.; Control engineering systems.; Control.; Systems Theory, Control.; Vibration, Dynamical Systems, Control.; Optimization.; Control , Robotics, Mechatronics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84882-781-3

This book presents a number of techniques for robustness analysis of uncertain systems. The theoretical basis for their development is derived from the application of convex optimization tools to problems involving positivity of homogeneous polynomial forms. Usually, stability and performance analys...

Table of Contents:

• 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
• Appendices: Basic Tools; SMR Algorithms.