Nonlinear Dynamics

, Volume 84, Issue 1, pp 223–236

Mathematical framework for recursive model-based system design

  • Mohamed A. Mabrok
  • Saber Elsayed
  • Michael J. Ryan
Original Paper

DOI: 10.1007/s11071-015-2418-1

Cite this article as:
Mabrok, M.A., Elsayed, S. & Ryan, M.J. Nonlinear Dyn (2016) 84: 223. doi:10.1007/s11071-015-2418-1


In this paper, we introduce a mathematical framework that allows the designer to consider more of the proposed ideas and options in conceptual design phase into the design process. The proposed model allows for dynamical relationship between the system’s high-level requirements and the detailed design parameters, where an optimization engine can optimize over the design parameters and variables for a given range in the requirement. This is done by proposing an input/output block structure named recursive design modular (RDM). The output of RDM is the functions that the system supposes to perform at particular level. The input of RDM is the design parameters that control the required behaviour through a set of mapping or transformation.


Model-based system design Systems engineering Model-based system engineering 

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Mohamed A. Mabrok
    • 1
    • 3
  • Saber Elsayed
    • 1
    • 2
  • Michael J. Ryan
    • 1
  1. 1.School of Engineering and Information TechnologyUniversity of New South Wales, Australian Defence Force AcademyCanberraAustralia
  2. 2.Faculty of Computers and InformaticsZagazig UniversityZagazigEgypt
  3. 3.Mathematics Department, Faculty of ScienceSuez Canal UniversityIsmailiaEgypt

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