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Boundary stabilization of a cosserat elastic body

Najafi, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1002/asjc.1572
  3. Abstract:
  4. Boundary stabilization of vibrating three-dimensional Cosserat elastic solids are studied using mathematical tools, such as operator theory and semigroup techniques. The advantages of the boundary control laws for both boundary stabilization problems are investigated. The boundary stabilization problems are studied using a Lyapunov stability method and LaSalle's invariant set theorem. Numerical simulations are provided to illustrate the effectiveness and performance of the designed control scheme. © 2017 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd
  5. Keywords:
  6. Boundary control ; Semigroup generators ; Vibration stabilization ; Mathematical operators ; Boundary controls ; Boundary stabilization ; Cosserat elasticity ; Invariant set theorems ; Lyapunov stability ; Mathematical tools ; Operator theory ; Semi-group ; Stabilization
  7. Source: Asian Journal of Control ; Volume 19, Issue 6 , 2017 , Pages 2219-2225 ; 15618625 (ISSN)
  8. URL: https://onlinelibrary.wiley.com/doi/full/10.1002/asjc.1572