A system of homogeneous differential-difference equations with linearly increasing delay is considered. The sufficient conditions of the asymptotic stability of the zero solution are given. Razumikhin's method to estimate the solutions is applied. The results can be used for the stabilization of controllable systems as well as the charged particle beams.
|Title of host publication||Razumikhin Approach to Analyses of the Differential-Difference Systems with Linearly Increasing Time-Delay|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Publication status||Published - 2014|