Title
Stochastic stabilization of slender beams in space: Modeling and boundary control.
Abstract
This paper considers the problem of modeling and boundary feedback stabilization of extensible and shearable slender beams with large deformations and large rotations in space under both deterministic and stochastic loads induced by flows. Fully nonlinear equations of motion of the beams are first derived. Boundary feedback controllers are then designed for global practical exponential p-stabilization of the beams based on the Lyapunov direct method. A new Lyapunov-type theorem is developed to study well-posedness and stability of stochastic evolution systems (SESs) in Hilbert space.
Year
DOI
Venue
2018
10.1016/j.automatica.2018.01.017
Automatica
Keywords
Field
DocType
Slender beams,Large motions,Boundary control,Stochastic evolution system,Well-posedness, p-stability
Hilbert space,Exponential function,Nonlinear system,Control theory,Mathematical analysis,Beam (structure),Lyapunov direct method,Mathematics
Journal
Volume
Issue
ISSN
91
1
0005-1098
Citations 
PageRank 
References 
0
0.34
11
Authors
2
Name
Order
Citations
PageRank
Khac Duc Do110.73
A. D. Lucey281.93