Boundary control of nonlinear elastic systems
dc.contributor.author | Do, Khac Duc | |
dc.date.accessioned | 2017-01-30T13:07:32Z | |
dc.date.available | 2017-01-30T13:07:32Z | |
dc.date.created | 2015-10-29T04:09:27Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Do, K.D. 2015. Boundary control of nonlinear elastic systems. Journal of Applied Mathematics and Computing. 51 (1): pp. 315-339. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/28811 | |
dc.identifier.doi | 10.1007/s12190-015-0907-5 | |
dc.description.abstract |
This paper presents a design of boundary controllers for global stabilization of nonlinear elastic systems, which cover nonlinear elastic strings and membranes, under external bounded forces. The boundary controllers guarantee exponential convergence of the unique system solution to a ball centered at the origin. The Faedo–Galerkin approximation method is used to prove existence and uniqueness of the solution of the closed-loop system. The control design is based on the Lyapunov direct method, Gronwall’s, Poincare’s, and Holder’s inequalities, and Sobolev embedding theorems. Simulations illustrate the effectiveness of the proposed controllers. | |
dc.publisher | Springer Verlag | |
dc.title | Boundary control of nonlinear elastic systems | |
dc.type | Journal Article | |
dcterms.source.issn | 1598-5865 | |
dcterms.source.title | Journal of Applied Mathematics and Computing | |
curtin.department | Department of Mechanical Engineering | |
curtin.accessStatus | Fulltext not available |
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