Universal Approximator Property of the Space of Hyperbolic Tangent Functions

نویسندگان

1 Departement of Applied Mathematics, Shahrood University of Technology, Shahrood, Iran

doi
10.30473/coam.2019.45540.1111
چکیده

In this paper, first the space of hyperbolic tangent functions is introduced and then the universal approximator property of this space is proved. In fact, by using this space, any nonlinear continuous function can be uniformly approximated with any degree of accuracy. Also, as an application, this space of functions is utilized to design feedback control for a nonlinear dynamical system.