A New Characterization of the Nyquist Stability Criterion,

Abstract

The usual proof of the Nyquist Theorem depends heavily on the argument principle. The argument supplies unneeded information in that it counts the number of encirclements of -1. Stability of a system requires an encirclement or a no-encirclement test. Using homotopy theory, this paper offers a more intuitive approach. We believe this approach will lead to practical generalization. For example, systems characterized by several complex variables such as multi dimensional digital filters. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA036714

Entities

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  • R. Decarlo
  • R. Saeks

Organizations

  • Texas Tech University

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  • Air Platforms

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  • Air Force
  • Algebraic Topology
  • Closed Loop Systems
  • Complex Variables
  • Digital Filters
  • Electrical Engineering
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  • Geometry
  • Identities
  • Integrals
  • Mathematics
  • New York
  • Polynomials
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  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Systems Analysis and Design