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.)

Authors

  • Khalid Hameed University of Diyala Author

DOI:

https://doi.org/10.69923/k1qp1d65

Keywords:

Keywords: Hartley series, Discrete Hartley transform, Integrational operational matrices, Block-Pulse functions.

Abstract

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.

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Author Biography

  • Khalid Hameed, University of Diyala

    Dr. Khalid Hadi Hameed is a lecturer at Al-Muqdad College of Education, University of Diyala, Iraq. He received the B.Sc. degree in mathematics science from the University of Baghdad and M.Sc. degree from university of Baghdad, IRAQ. He Holds a PhD degree in Mathematics Science with specialization in applied mathematics (Functional analysis). His research areas are approximation theory, Orthogonal functions, Orthogonal polynomials, and communication systems. He has published several scientific papers in national, international conferences and journals. He can be contacted at email: khalidh@uodiyala.edu.iq.

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Published

03/30/2025

Issue

Vol. 2 No. 1 (2025): Volume 2, Issue 1

Section

Articles

License

Copyright (c) 2025 Iraqi Journal for Applied Science

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References

Marshall,G.C.and H.W.Ohm 1987 .Yield responses of 16 winter wheat cultivars to row spacing and seeding rate .Agronomy Journal .79:1027-1030

How to Cite

[1]
K. Hameed, “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.)”, IJApSc, vol. 2, no. 1, pp. 53–60, Mar. 2025, doi: 10.69923/k1qp1d65.

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