An extension of the argument principle and nyquist criterion to a class of systems with unbounded

Makan Fardad, Bassam Bamieh

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The Nyquist stability criterion is generalized to systems where the open-loop system has infinite-dimensional input and output spaces and an unbounded infinitesimal generator. The infinitesimal generator is assumed to be a sectorial operator with trace-class resolvent. The main result is obtained through use of the perturbation determinant and an extension of the argument principle to infinitesimal generators with trace-class resolvents.

Original languageEnglish (US)
Pages (from-to)379-384
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume53
Issue number1
DOIs
StatePublished - Jan 2008
Externally publishedYes

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Stability criteria

Keywords

  • Argument principle
  • Infinite-dimensional system
  • Nyquist stability criterion
  • Perturbation determinant
  • Unbounded infinitesimal generator

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

An extension of the argument principle and nyquist criterion to a class of systems with unbounded. / Fardad, Makan; Bamieh, Bassam.

In: IEEE Transactions on Automatic Control, Vol. 53, No. 1, 01.2008, p. 379-384.

Research output: Contribution to journalArticle

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