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Root-Locus Theory for Infinite-Dimensional Systems

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MyThesis.pdf (569.63 KB)

Date

2007-09-27T18:23:41Z

Authors

Monifi, Elham

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Publisher

University of Waterloo

Abstract

In this thesis, the root-locus theory for a class of diffusion systems is studied. The input and output boundary operators are co-located in the sense that their highest order derivatives occur at the same endpoint. It is shown that infinitely many root-locus branches lie on the negative real axis and the remaining finitely many root-locus branches lie inside a fixed closed contour. It is also shown that all closed-loop poles vary continuously as the feedback gain varies from zero to infinity.

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Keywords

root-locus, infinite-dimensional systems

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URI

http://hdl.handle.net/10012/3353

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Applied Mathematics