Title :
Differentiability of the semigroup associated with a structural damping model
Author :
Huang, Falun ; Liu, Kang-Sheng ; Chen, Goong
Author_Institution :
Dept. of Math., Sichuan Univ., China
Abstract :
Let A be a positive definite, self-adjoint operator with the domain D(A) in a Hilbert space H and let B be Aα (0⩽α⩽1). It is shown that if B satisfies certain conditions, then a differentiable semigroup is generated. Other results give the semigroup property for D.L. Russell´s structural damping model
Keywords :
damping; distributed parameter systems; linear systems; perturbation techniques; Hilbert space; differentiable semigroup; distributed parameter systems; self-adjoint operator; structural damping model; Aerospace engineering; Damping; Differential equations; Hilbert space; Mathematics; Petroleum;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70524
