Direct and Fuzzy Transform Methods for the Stabilization Vibrations of a Damped Linear String


Authors

Rajib Ghosh - Department of Mathematics, J. K. College, Purulia, West Bengal, 723101, India Ganesh. C. Gorain - Department of Mathematics, J. K. College, Purulia, West Bengal, 723101, India Samarjit Kar - Department of Mathematics, N. I. T, Durgapur, West Bengal, 723209, India


Abstract

In this paper, the asymptotic behaviour of the vibrations of a damped linear string is studied. The exponential stability result of the overall system is obtain directly by means of an exponential energy decay estimate. A closed form approximate numerical result is constructed by fuzzy transform method to support and implement the stability result.


Keywords


MSC


References