A Nyquist stability criterion for distributed parameter systems

A Nyquist graphical stability criterion is developed for distributed parameter, possible unstable, single-loop systems. Practical conditions are presented for existence, uniqueness, causality, and asymptotic or exponential stability of the closed-loop impulse response. The hypotheses are given for t...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1989-01, Vol.34 (1), p.90-92
Main Authors: Chait, Y., MacCluer, C.R., Radcliffe, C.J.
Format: Article
Language:English
Subjects:
Automatic control
Circuit stability
Computer networks
Control systems
Differential equations
Distributed parameter systems
Nonlinear equations
Piecewise linear techniques
Stability criteria
Transfer functions
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Summary:A Nyquist graphical stability criterion is developed for distributed parameter, possible unstable, single-loop systems. Practical conditions are presented for existence, uniqueness, causality, and asymptotic or exponential stability of the closed-loop impulse response. The hypotheses are given for the transfer function only and do not require any knowledge of its time-domain impulse response.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.8653