Application of associated polynomials to circuits and systems.
Stone, Thomas Edward
Parker, Sydney R.
MetadataShow full item record
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.
Showing items related by title, author, creator and subject.
Fernandez, Carlos K. (Monterey, California. Naval Postgraduate School, 2008-06);The Discrete Logarithm Problem (DLP) is a fundamental cryptographic primitive. The DLP is defined for any cyclic group, specifically finite fields, whether the integers modulo a prime p or a polynomial field of characteristic ...
Filaseta, M.; Luca, F.; Stănică, P.; Underwood, R.G. (2017);Computing the Galois group of the splitting field of a given polynomial with integer coefficients over the rationals is a classical problem in modern algebra. A theorem of Van der Waerden [Wae] asserts that almost all ...
Bowie, Douglas John (Monterey, California. Naval Postgraduate School, 1967-06);The theory of Singular Lines, constant damping ratio-constant undamped natural frequency lines, is derived. A limitation of the parameter plane method for characteristic polynomials whose coefficients are linear functions ...