Exponential stability analysis of Timoshenko beam system with boundary delays. Issue 15 (18th November 2017)

• Record Type: Journal Article
• Authors: Tian, Zongfei; Xu, Gen-Qi
• Is Part Of: Applicable analysis. Volume 96:Issue 15(2017)
• Page Start: 2575
• Page End: 2603
• Publication Date: 2017-11-18
• Subjects: Timoshenko beam system -- interior damping -- boundary delay -- exponential stability region; 35L20 -- 93B28 -- 93B51 -- 93D30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2016.1232399
• Languages: English
• ISSNs: 0003-6811

Abstract

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.