Exponential stability of abstract evolution equations with time delay

By Serge Nicaise, Cristina Pignotti. 2014

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We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C0-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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/85a854beb7ca89a40d1e096c2769b9085cbbd319