Generation of Discontinuous Unpredictable Motions by Quasi-linear Systems with Regular Moments of Impulses

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Fen M. O., Fen F.

The Third International Conference on Applied Mathematics in Engineering, Balıkesir, Turkey, 26 - 28 June 2024, pp.211

  • Publication Type: Conference Paper / Summary Text
  • City: Balıkesir
  • Country: Turkey
  • Page Numbers: pp.211
  • TED University Affiliated: Yes

Abstract

This study is concerned with unpredictable solutions in a class of quasi-linear impulsive systems. The system under investigation possesses a term periodic in t, and it is with regular moments of impulses. It is rigorously proved that the system admits discontinuous unpredictable solutions in the case that a perturbation generated by an unpredictable sequence is implemented. Asymptotic stability of the unpredictable solution is also discussed. The theoretical results are supported by an appropriate illustrative example.