Autors: Konstantinov, M., Madamlieva, E. B., Petkova, M., Cholakov, S.
Title: Asymptotic stability of nonlinear perturbed neutral linear fractional system with distributed delay
Keywords: fractional derivatives; neutral fractional systems; distribu

Abstract: In the present paper we study the stability properties of nonlinear perturbed neutral fractional autonomous linear differential systems with distributed delay. It is shown that if the zero solution of the linear part of the nonlinear perturbed system is globally asymptotically stable, then the zero solution of the perturbed nonlinear system is globally asymptotically stable too. The results are based on a formula for the integral presentation of the general solution of a linear autonomous neutral system with distributed delay which was proved by the authors in a previous work

References

    Issue

    , 2021, United States, https://doi.org/10.1063/5.0041726

    Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus и Web of Science