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In this paper, a sufficient condition for robust exponential stability with respect to small delays is obtained. As applications, an example is discussed.
The robustness with respect to small delays for exponential stability of a class of infinite-dimensional linear dynamical system with unbounded delay operator is studied in Banach space. In terms of the theory of fundamental operator family and the theory of operator-valued Fourier multipliers, a frequency-domain characterization for the robust exponential stability with respect to small delays is...
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