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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 15
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Original Articles

Exponential stability analysis of Timoshenko beam system with boundary delays

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Pages 2575-2603 | Received 26 Apr 2016, Accepted 26 Aug 2016, Published online: 14 Sep 2016
 

Abstract

In this paper, we investigate the exponential stability of Timoshenko beam system with interior damping and boundary delays. At first, applying the semigroup theory of bounded linear operators we prove the well-posedness of the system. And then we give the exponential stability analysis of the system by constructing an appropriate Lyapunov function. Different from the earlier results, we use the damping coefficients and delay coefficients together with the parameters of the system to give a description of the stability region.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the National Science Natural Foundation in China [NSFC-61174080].

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