At the junction of Lyapunov-Krasovskii and Razumikhin approaches

@inproceedings{Alexandrova2018AtTJ,
  title={At the junction of Lyapunov-Krasovskii and Razumikhin approaches},
  author={Irina V. Alexandrova and Alexey P. Zhabko},
  year={2018}
}
Abstract In this paper, a modification of the Krasovskii theorem for a nonlinear class of systems is presented. The idea is to replace the positive definiteness condition of the functional with this condition on the special Razumikhin-type set of functions only while retaining the other classical conditions. The result is motivated by the fact that this idea leads to the necessary and sufficient stability condition for linear time-invariant systems. Moreover, this condition is constructive and… CONTINUE READING