Date of Award:
Master of Science (MS)
Mathematics and Statistics
Robert W. Gunderson
This paper analyzes the controllability of constant coefficient linear differential equations and presents two proofs of a major theorem on controllability. Properties of nearly-non-negative matrices are discussed and in particular a theorem on the behavior of the exponential matrix of nearly-non-negative matrices is proven. These results are then used to prove that the reachable set for systems with nearly-non-negative matrices is limited to the positive hyperoctant.
Perry, Theodore Sonne, "Positive Controllability of Systems with Nearly-Non-Negative Matrices" (1976). All Graduate Theses and Dissertations. 6951.