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.File in questo prodotto:
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