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

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: http://hdl.handle.net/11697/15994
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