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Input retrieval in finite dimensional linear systems

Published online by Cambridge University Press:  17 February 2009

P. G. Howlett
Affiliation:
School of Mathematics and Computer Studies, South Australian Institute of Technology, Ingle Farm, South Australia 5098
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Abstract

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For finite dimensional linear systems it is known that in certain circumstances the input can be retrieved from a knowledge of the output only. The main aim of this paper is to produce explicit formulae for input retrieval in systems which do not possess direct linkage from input to output. Although two different procedures are suggested the fundamental idea in both cases is to find an expression for the inverse transfer function of the system. In the first case this is achieved using a general method of power series inversion and in the second case by a sequence of elementary operations on a Rosenbrock type system matrix.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1982

References

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