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Robust Stability Under Mixed Time Varying, Time Invariant and Parametric Uncertainty

Paganini, Fernando (1995) Robust Stability Under Mixed Time Varying, Time Invariant and Parametric Uncertainty. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1995.024

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Abstract

Robustness analysis is considered for systems with structured uncertainty involving a combination of linear time-invariant and linear time-varying perturbations, and parametric uncertainty. A necessary and sufficient condition for robust stability in terms of the structured singular value μ is obtained, based on a finite augmentation of the original problem. The augmentation corresponds to considering the system at a fixed number of frequencies. Sufficient conditions based on scaled small-gain are also considered and characterized.


Item Type:Report or Paper (Technical Report)
Additional Information:The author wishes to thank Raffaello D'Andrea for a stimulating discussion, and Geir Dullerud for helpful suggestions. This work was supported by AFOSR.
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:1995.024
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:1995.024
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:28103
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:16 Oct 2006
Last Modified:26 Dec 2012 14:30

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