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The uniform asymptotic stability of certain neutral differential-difference equations
Authors:Richard Datko
Institution:Department of Mathematics, Georgetown University, Washington, D.C. 20007 USA
Abstract:In this paper we give a necessary and sufficient condition for a general class of neutral differential-difference equations to be exponentially stable. This condition is expressed in terms of certain bilinear functionals which are the equivalent of quadratic Liapunov functions for finite-dimensional systems.
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