Date of Award:

5-1976

Document Type:

Thesis

Degree Name:

Master of Science (MS)

Department:

Mathematics and Statistics

Committee Chair(s)

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

Included in

Mathematics Commons

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