Date of Award:
5-1976
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
Robert W. Gunderson
Committee
Robert W. Gunderson
Committee
Robert Heal
Committee
Mike Windham
Abstract
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.
Checksum
b3f04d673753a346d4186847f44d23ff
Recommended Citation
Perry, Theodore Sonne, "Positive Controllability of Systems with Nearly-Non-Negative Matrices" (1976). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6951.
https://digitalcommons.usu.edu/etd/6951
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