On stability delay bounds of simple input-delayed linear and non-linear systems: Computational results

  • Authors:
  • Elbrous M. Jafarov

  • Affiliations:
  • Faculty of Aeronautics and Astronautics, Istanbul Technical University, Maslak, Sariyer, Istanbul, Turkey 34469

  • Venue:
  • International Journal of Automation and Computing
  • Year:
  • 2013

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Abstract

This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.