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Paper details
Number 2 - June 2003
Volume 13 - 2003
The asymptotical stability of a dynamic system with structural damping
Xuezhang Hou
Abstract
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
Keywords
dynamic system, evolution equation, asymptotic stability