Article

Ukrainian Mathematical Journal

, Volume 50, Issue 3, pp 387-399

First online:

On the stability of a trivial invariant torus of one class of impulsive systems

  • S. I. DudzyanyiAffiliated withKiev University
  • , N. A. PerestyukAffiliated withKiev University

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Abstract

We consider the problem of asymptotic stability of the trivial invariant torus of one class of impulsive systems. Sufficient criteria of asymptotic stability are obtained by the method of freezing in one case, and by the direct Lyapunov method for the investigation of stability of solutions of impulsive systems in another case.