Accession Number:

AD0847622

Title:

Application of Associated Polynomials to Circuits and Systems.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Stone, Thomas Edward

Report Date:

1968-09-01

Pagination or Media Count:

103.0

Abstract:

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 express 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 and imaginary parts may be kept invarient but not both. Author

Descriptors:

• *ADAPTIVE CONTROL SYSTEMS
• SENSITIVITY
• PROBLEM SOLVING
• LINEAR SYSTEMS
• TRANSFER FUNCTIONS
• SYNTHESIS
• INVARIANCE
• ALGORITHMS
• THEOREMS
• THESES

Subject Categories:

• Electrical and Electronic Equipment
• Theoretical Mathematics
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE