Stabilizability conditions for strictly bilinear systems with purely imaginary spectra

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper presents simple sufficient conditions for the stabilizability of single-input, strictly bilinear systems with purely imaginary spectra. If the state matrix eigenvalues are distinct and a matrix function of the bilinear input and eigenvector matrices has nonzero diagonal elements, then the system is globally, asymptotically stabilizable.

Original languageEnglish (US)
Pages (from-to)1346-1347
Number of pages2
JournalIEEE Transactions on Automatic Control
Volume41
Issue number9
DOIs
StatePublished - Dec 1 1996

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Eigenvalues and eigenfunctions

All Science Journal Classification (ASJC) codes

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

Cite this

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title = "Stabilizability conditions for strictly bilinear systems with purely imaginary spectra",
abstract = "This paper presents simple sufficient conditions for the stabilizability of single-input, strictly bilinear systems with purely imaginary spectra. If the state matrix eigenvalues are distinct and a matrix function of the bilinear input and eigenvector matrices has nonzero diagonal elements, then the system is globally, asymptotically stabilizable.",
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Stabilizability conditions for strictly bilinear systems with purely imaginary spectra. / Rahn, Christopher D.

In: IEEE Transactions on Automatic Control, Vol. 41, No. 9, 01.12.1996, p. 1346-1347.

Research output: Contribution to journalArticle

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