The Nyquist Stability Criterion for a Class of Spatially Periodic Systems

Abstract

The Nyquist stability criterion is extended to a class of spatially periodic systems with spatially distributed inputs and outputs. It is demonstrated that the exponential stability of this class of systems can be guaranteed by checking the Nyquist stability criterion for a family of finite-dimensional systems. In order to show this result, a new version of the argument principle is derived that is applicable to systems with infinite-dimensional input/output spaces and unbounded system operators.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA458843

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
  • Eigenvalues
  • Engineering
  • Environmental Engineering
  • Equations
  • Feedback
  • Fourier Series
  • Frequency
  • Frequency Domain
  • Hilbert Space
  • Information Operations
  • Linear Systems
  • Open Loop Systems
  • Spectra
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Military Engineering.
  • Sensor Fusion and Tracking Systems.

Technology Areas

  • Space