On the Analysis of Feedback Systems with a Multipower Open Loop Chain

Abstract

The report analyses the input-output behavior of feedback systems whose open loop map can be modeled by an operator, K, defined on a Hilbert space. In particular, attention is focused on the case where K is multipower, bounded, and strictly causal. The analysis uses Hilbert resolution space, the causality structure of K and contraction mapping techniques. The main objective is to clarify questions of the following type: (1) Given an input, y, is the output, x, well defined. (Existence, Uniqueness); (2) If x is well defined, what can be said about the mapping y to x. (Causality, Continuity); (3) Given y how can x be computed. (Computational method). To illustrate the difficulty associated with questions of this type, it is shown that a system input with a finite energy may generate an infinite energy, possibly with a finite escape time, feedback system output. (Modified author abstract)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0773188

Entities

People

  • Romano M. Desantis
  • William A. Porter

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Closed Loop Systems
  • Computational Science
  • Control Systems
  • Control Systems Engineering
  • Engineering
  • Equations
  • Feedback
  • Hilbert Space
  • Michigan
  • Open Loop Systems
  • Scientific Research
  • Security
  • Systems Engineering
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Robotics and Automation.
  • Statistical inference.
  • Systems Analysis and Design

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers