Accession Number : ADA115568

Title :   Reducibility of Matrix Equations Containing Several Parameters.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Lew,Charles A

PDF Url : ADA115568

Report Date : Dec 1981

Pagination or Media Count : 53

Abstract : Two methods of reducing state matrix equations containing several parameters are presented in this thesis. Pursuant to the first method, the solutions, obtained by iterative and non-iterative methods, of the algebraic Riccati matrix equation and Lyapunov matrix equation are relied upon heavily. The second method hinges on an equivalence transformation to a Smith form, coupled with the notion of zeros of a matrix. Main results focus on the two parameter case but can be extended to any number of parameters. (Author)

Descriptors :   *Matrices(Mathematics), Parametric analysis, Reduction, Riccati equation, Lyapunov functions, Iterations, Transformations(Mathematics), Polynomials, Theses

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE