The Asymptotical Stability of a Dynamic System With Structural Damping
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 2, pp. 131-138
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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 systems, evolution equation, asymptotic stability
Mots-clés : matematyka
Mots-clés : matematyka
@article{IJAMCS_2003_13_2_a0,
author = {Hou, X.},
title = {The {Asymptotical} {Stability} of a {Dynamic} {System} {With} {Structural} {Damping}},
journal = {International Journal of Applied Mathematics and Computer Science},
pages = {131--138},
year = {2003},
volume = {13},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a0/}
}
TY - JOUR AU - Hou, X. TI - The Asymptotical Stability of a Dynamic System With Structural Damping JO - International Journal of Applied Mathematics and Computer Science PY - 2003 SP - 131 EP - 138 VL - 13 IS - 2 UR - http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a0/ LA - en ID - IJAMCS_2003_13_2_a0 ER -
Hou, X. The Asymptotical Stability of a Dynamic System With Structural Damping. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 2, pp. 131-138. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_2_a0/