Application of associated polynomials to circuits and systems.
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Authors
Stone, Thomas Edward
Subjects
Advisors
Parker, Sydney R.
Date of Issue
1968-09
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
In this thesis, the theory of associated polynomials is
applied to linear circuits and systems. Associated polynomials
are defined and used in the presentation of a computer
algorithm suitable for accomplishing a partial fraction expansion
including repeated roots. Variations of the coefficients
of a polynomial are related to the variation of its
roots (and vice-versa) by associated polynomials. These results
are used in a root solving process and to exoress sensitivity
coefficients in; a new analytical form. Lastly , a
theory of compensating parameter adjustments is developed
with applications to self-adaptive systems. It is shown that by compensating adjustments of any two parameters in the system
which are linearly related to the coefficients of the
characteristic equation, adaptive compensation is possible
for a real root of the closed loop transfer function only
and that for complex roots, the real or imaginary parts may
be kept invarient but not both.
Type
Thesis
Description
Series/Report No
Department
Electrical Engineering