A state space approach via Discrete Hartley transform of type and For the solution of the State model of Linear time-invariant systems (L.T.I.S’s.)

In this paper, we deal with linear time-invariant systems (L.T.I.S.) and single-input single-output systems (S.I.S.O.S.). We intend to identify two types of L.T.I.S's in the Hartley series, namely homogeneous and non-homogeneous ystems. The presented Hartley series domain identification pivots upon the samples of involved functions. We solve the problem of system identification where the systems are described by state space models, using the concept of Hartley transform of type and domain technique. This method is based on a new integration operational matrix, which relates Hartley transforms of type and their integration. Examples of homogeneous and non-homogeneous state equations are used to illustrate the method. We show that our method is very simple, as it is very fast and so computationally very attractive.