An Extension of the Argument Principle and Nyquist Criterion to Systems with Unbounded Generators

Abstract

The Nyquist Stability Criterion is generalized to systems where the (open-loop) system has infinite-dimensional input/output spaces and a (possibly) unbounded infinitesimal generator. This is done through use of the perturbation determinant and an extension of the Argument Principle to infinitesimal generators with trace-class resolvent.

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Document Details

Document Type
Technical Report
Publication Date
Apr 17, 2006
Accession Number
ADA458806

Entities

People

  • Bassam Bamieh
  • Makan Fardad

Organizations

  • University of California, Santa Barbara

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Closed Loop Systems
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Environmental Engineering
  • Equations
  • Feedback
  • Fourier Series
  • Generators
  • Hilbert Space
  • Information Operations
  • Linear Systems
  • Open Loop Systems
  • Partial Differential Equations
  • Spectra

Readers

  • Control Systems Engineering.
  • Linear Algebra

Technology Areas

  • Space