Exponential stability analysis of Timoshenko beam system with boundary delays

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.

Keywords:

• Timoshenko beam system
• interior damping
• boundary delay
• exponential stability region

AMS Subject Classifications:

• 35L20
• 93B28
• 93B51
• 93D30

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].