Hermitian pencils and output feedback stabilization of scalar systems

U. Helmke; B. D.O. Anderson

doi:10.1080/00207179208934347

Hermitian pencils and output feedback stabilization of scalar systems

U. Helmke^*, B. D.O. Anderson

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

Necessary and sufficient semi-algebraic conditions for (a) the stabilization of scalar transfer functions, and (b) the assignability of real poles by static output feedback, are given in terms of the Weierstrass invariants of an associated hermitian matrix pencil. An explicit graphical test for output feedback stabilizability is derived which is equivalent to the Nyquist criterion.

Original language	English
Pages (from-to)	857-876
Number of pages	20
Journal	International Journal of Control
Volume	56
Issue number	4
DOIs	https://doi.org/10.1080/00207179208934347
Publication status	Published - Oct 1992

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10.1080/00207179208934347

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abstract = "Necessary and sufficient semi-algebraic conditions for (a) the stabilization of scalar transfer functions, and (b) the assignability of real poles by static output feedback, are given in terms of the Weierstrass invariants of an associated hermitian matrix pencil. An explicit graphical test for output feedback stabilizability is derived which is equivalent to the Nyquist criterion.",

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AB - Necessary and sufficient semi-algebraic conditions for (a) the stabilization of scalar transfer functions, and (b) the assignability of real poles by static output feedback, are given in terms of the Weierstrass invariants of an associated hermitian matrix pencil. An explicit graphical test for output feedback stabilizability is derived which is equivalent to the Nyquist criterion.

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Hermitian pencils and output feedback stabilization of scalar systems

Abstract

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