Title :
Stabilization of the nonlinear elastodynamic system with a boundary dissipation
Author :
Zhifei, Zhang ; Pengfei, Yao
Author_Institution :
Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing
Abstract :
We consider the existence of global solutions of the nonlinear elastodynamic system with a boundary dissipation structure when initial data are small. The medium material is assumed to be isotropic and hyperelastic. We show the existence of global smooth solutions. In particular, we obtain the exponential decay of the energy, which implies the exponential stabilization of the system by boundary feedback.
Keywords :
asymptotic stability; elastodynamics; feedback; nonlinear control systems; boundary dissipation structure; boundary feedback; energy decay; exponential stabilization; nonlinear elastodynamic system stabilization; Control systems; Damping; Elasticity; Elastodynamics; Feedback; Laboratories; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear equations; Dissipative boundary structure; Energy estimate; Nonlinear elastodynamic systems;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4604943
