Exponential stability of abstract evolution equations with time delay
Journal of Evolution Equations, ISSN: 1424-3202, Vol: 15, Issue: 1, Page: 107-129
2015
- 43Citations
- 13Captures
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Article Description
We consider abstract semilinear evolution equations with a time-delay feedback. We show that, if the C-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.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84925502821&origin=inward; http://dx.doi.org/10.1007/s00028-014-0251-5; http://link.springer.com/10.1007/s00028-014-0251-5; http://link.springer.com/content/pdf/10.1007/s00028-014-0251-5; http://link.springer.com/content/pdf/10.1007/s00028-014-0251-5.pdf; http://link.springer.com/article/10.1007/s00028-014-0251-5/fulltext.html; https://dx.doi.org/10.1007/s00028-014-0251-5; https://link.springer.com/article/10.1007/s00028-014-0251-5
Springer Science and Business Media LLC
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