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Analysis of Implicit Uncertain Systems. Part I: Theoretical Framework

Paganini, Fernando and Doyle, John (1994) Analysis of Implicit Uncertain Systems. Part I: Theoretical Framework. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1994.018-1

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Abstract

This paper introduces a general and powerful framework for the analysis of uncertain systems, encompassing linear fractional transformations, the behavioral approach for system theory and the integral quadratic constraint formulation. In this approach, a system is defined by implicit equations, and the central analysis question is to test for solutions of these equations. In Part I, the general properties of this formulation are developed, and computable necessary and sufficient conditions are derived for a robust performance problem posed in this framework.


Item Type:Report or Paper (Technical Report)
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:1994.018-1
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:1994.018-1
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:28081
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:13 Sep 2006
Last Modified:24 Sep 2013 20:25

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