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Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-16
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider the exponential stabilization for Timoshenko beam with distributed delay in the boundary control.
Suppose that the controller outputs are of the form α1u1(t)+β1u1(t-τ)+∫-τ0g1(η)u1(t+η)dη and α2u2(t)+β2u2(t-τ)+∫-τ0g2(η)u2(t+η)dη; where u1(t) and u2(t) are the inputs of boundary controllers.
In the past, most stabilization results for wave equations and Euler-Bernoulli beam with delay are required αi>βi>0,i=1,2.
In the present paper, we will give the exponential stabilization about Timoshenko beam with distributed delay and demand to satisfy the lesser conditions for αi,βi,i=1,2.
American Psychological Association (APA)
Liu, Xiu Fang& Xu, Gen Qi. 2013. Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-493780
Modern Language Association (MLA)
Liu, Xiu Fang& Xu, Gen Qi. Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-493780
American Medical Association (AMA)
Liu, Xiu Fang& Xu, Gen Qi. Exponential Stabilization for Timoshenko Beam with Distributed Delay in the Boundary Control. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-493780
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493780