Term of Award

Fall 2005

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)

Department

Department of Mathematical Sciences

Committee Chair

Donald W. Fausett

Committee Member 1

Scott N. Kersey

Committee Member 2

Yan Wu

Abstract

In this research project, we analyze three important concepts of the control theory, including controllability, observability and realizability. In particular, we analyze the theory of and solutions to linear time systems, continuous and discrete time systems, time-varying systems, and first-order matrix Sylvester systems. Examples and sample computed calculations are provided for both uncontrolled and controlled systems. We also develop a new method for computing the approximate values of matrix exponentials, and use this to estimate solutions to initial value problems.

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