Solvability of Singular Linear Difference Equations
Date Issued
2012
Date
2012
Author(s)
Lin, Yu-Jen
Abstract
In this thesis, we focus on the solvability of singular linear difference equations. We use the geometric viewpoint to survey the properties about the solutions of (E, A, B)-system. First, we consider the simple system—(E, A)-system. We try to use the geometric technique to solve the properties about the solutions of (E, A)-system. And we hope that we can solve it by the way which is independent of the choice of the basis.
And (E, A)-system is a special case of the (E, A, B)-system. So, we can use the conclusions which we got before to solve the solution of the (E, A, B)-system. Finally, we have described the solution space of (E, A, B)-system.
Subjects
solvability
singular linear difference equations
( E, A)-system
( E, A, B)-system
geometric control
Type
thesis
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