Analysis of Implicit Uncertain Systems. Part 1: Theoretical Framework

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 1, 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.

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Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1994
Accession Number
ADA464757

Entities

People

  • Fernando Paganini
  • John M. Doyle

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Control Theory
  • Convex Sets
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Frequency
  • Frequency Domain
  • Hilbert Space
  • Linear Systems
  • Nonlinear Systems
  • Perturbations
  • Stability Conditions
  • Standards
  • Theorems
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Linear Algebra