Stability results for second-order evolution equations with switching time-delay
Serge Nicaise, Cristina Pignotti
TL;DR
This paper establishes stability conditions for second-order evolution equations with switching delay damping, extending previous results to include unbounded damping operators and providing concrete examples.
Contribution
It offers new sufficient conditions for stability in systems with intermittently delayed damping, generalizing prior work to unbounded damping operators.
Findings
Conditions for asymptotic stability
Conditions for exponential stability
Applicability to unbounded damping operators
Abstract
We consider second-order evolution equations in an abstract setting with intermittently delayed/ not-delayed damping. We give sufficient conditions for asymptotic and exponential stability, improving and generalising our previous results from [19]. In particular, under suitable conditions, we can consider unbounded damping operators. Some concrete examples are finally presented.
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