DocumentCode
3218941
Title
Exponential Stability of a System of Linear Timoshenko Type with Boundary Controls
Author
Yan, A.D. ; Genqi, B.X.
Author_Institution
Dept. of Math., Tianjin Univ., China
fYear
2006
fDate
7-11 Aug. 2006
Firstpage
983
Lastpage
988
Abstract
In the present paper we consider the stabilization problem of porous elastic solids in real world. The kinetic behavior of porous solids is governed by equations of linear Timoshenko type which is generally asymptotically stable but not exponentially stable. In this paper we act boundary velocity feedback controls on the system with both ends free. Then we discuss its well-posed-ness and obtain the exponential stability of the closed loop system by use of the Riesz basis property and spectral distribution.
Keywords
asymptotic stability; closed loop systems; distributed parameter systems; feedback; kinetic theory; linear systems; porous materials; Riesz basis; boundary velocity feedback control; closed loop system; exponential stability; kinetic behavior; linear Timoshenko type system; porous elastic solids; spectral distribution; Asymptotic stability; Closed loop systems; Control systems; Equations; Feedback control; IEEE catalog; Kinetic theory; Mathematics; Solids; Boundary feedback control; Riesz basis; exponential stability; linear Timoshenko type system;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference, 2006. CCC 2006. Chinese
Conference_Location
Harbin
Print_ISBN
7-81077-802-1
Type
conf
DOI
10.1109/CHICC.2006.280841
Filename
4060675
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