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Boundary Stabilization of a Cosserat Elastic Body
Author(s) -
Najafi Ali,
Alasty Aria,
Vatankhah Ramin,
Eghtesad Mohammad,
Daneshmand Farhang
Publication year - 2017
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1572
Subject(s) - boundary (topology) , semigroup , mathematics , lyapunov function , invariant (physics) , mathematical analysis , operator (biology) , boundary value problem , lyapunov stability , scheme (mathematics) , stability (learning theory) , control theory (sociology) , control (management) , computer science , physics , mathematical physics , biochemistry , chemistry , repressor , quantum mechanics , nonlinear system , transcription factor , gene , artificial intelligence , machine learning
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.