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Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control

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  • Xiu Fang Liu
  • Gen Qi Xu

Abstract

We consider the exponential stabilization for Timoshenko beam with distributed delay in the boundary control. Suppose that the controller outputs are of the form and ; where and are the inputs of boundary controllers. In the past, most stabilization results for wave equations and Euler-Bernoulli beam with delay are required . In the present paper, we will give the exponential stabilization about Timoshenko beam with distributed delay and demand to satisfy the lesser conditions for .

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  • Xiu Fang Liu & Gen Qi Xu, 2013. "Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-15, December.
    • Handle: RePEc:hin:jnlaaa:726794
    DOI: 10.1155/2013/726794
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    Cited by:

    1. Gen Qi Xu, 2023. "Resolvent family for the evolution process with memory," Mathematische Nachrichten, Wiley Blackwell, vol. 296(6), pages 2626-2656, June.

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