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1995 | OriginalPaper | Buchkapitel

BIBO stability and simple tests

verfasst von : L. C. Westphal

Erschienen in: Sourcebook of Control Systems Engineering

Verlag: Springer US

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BIBO stability of constant coefficient linear systems, whether described by differential or difference equations, is determined by the pole locations of the closed-loop systems. These poles are, by definition, the roots of the denominator polynomial in transfer function representations and of the characteristic equation of the A matrix in state-space representations. The poles must lie in the left-half plane for continuous time systems and within the unit circle for discrete time systems. The straightforward way of checking this is to compute the poles. An alternative that is easy and can lead to other insights is to process the coefficients of the denominator polynomial of the transfer function, which is the same as the determinant of the state-space dynamics matrix. This chapter demonstrates those tests and shows how they may be used in three different ways.

Metadaten
Titel
BIBO stability and simple tests
verfasst von
L. C. Westphal
Copyright-Jahr
1995
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4615-1805-1_14

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