Reducibility of Matrix Equations Containing Several Parameters.

摘要

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)