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.

Exponential stability of abstract evolution equations with time delay

PIGNOTTI, CRISTINA
2015-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/15994
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