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arXiv · 1405.1850

Exponential stability of abstract evolution equations with time delay

Serge Nicaise·Cristina Pignotti
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Abstract

We consider abstract semilinear evolution equations with a time delay feedback. We show that, if the $C_0$-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable smallness condition on the time delay feedback is satisfied. Some examples illustrating our abstract approach are also given.

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Serge Nicaise, Cristina Pignotti. 2014-05-08. Exponential stability of abstract evolution equations with time delay. https://arxiv.org/abs/1405.1850

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