Stability analysis for the solutions of a class of nonlinear nonstationary systems with delay

  • Authors:

  • A. Yu. Aleksandrov;A. P. Zhabko

  • Affiliations:

  • St. Petersburg State University, St. Petersburg, Russia;St. Petersburg State University, St. Petersburg, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2014

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Abstract

This paper studies the influence of nonstationary perturbations on the systems of differential equations with delayed argument, whose right-hand sides are representable as the sums of potential and gyroscopic components of vector fields. Finally, the sufficient conditions of asymptotic stability are established for the solutions of the perturbed systems.