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The uniform exponential stability of a class of linear differential–difference equations in a Hilbert space

Published online by Cambridge University Press:  14 November 2011

Richard Datko
Richard Datko
Affiliation:
Department of Mathematics, Georgetown University, Washington, D.C., U.S.A.
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Synopsis

A necessary and sufficient condition is given for the uniform exponential stability of certain autonomous differential–difference equations whose phase space is a Hilbert space. It is shown that this property is preserved when the delays depend homogeneously on a nonnegative parameter.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 89 , Issue 3-4 , 1981 , pp. 201 - 215
Copyright
Copyright © Royal Society of Edinburgh 1981

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References

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