On the Asymptotic Stability of a Nonlinear Fractional-order System with Multiple Variable Delays

Altun Y., Tunç C.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, vol.15, no.1, pp.458-468, 2020 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2020
  • Journal Name: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.458-468
  • Keywords: Asymptotic stability, Lyapunov functional, fractional-order, variable delay, DIFFERENTIAL-EQUATIONS, NONOSCILLATORY SOLUTIONS, BOUNDEDNESS, EXISTENCE
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we consider a nonlinear differential system of fractional-order with multiple variable delays. We investigate asymptotic stability of zero solution of the considered system. We prove a new result, which includes sufficient conditions, on the subject by means of a suitable Lyapunov functional. An example with numerical simulation of its solutions is given to illustrate that the proposed method is flexible and efficient in terms of computation and to demonstrate the feasibility of established conditions by MATLAB-Simulink.