Title :
Razumikhin approach to analyses of the differential-difference systems with linearly increasing time-delay
Author :
Zhabko, Alexey P. ; Chizhova, Olga N.
Author_Institution :
St.-Peterburg State Univ., St. Petersburg, Russia
fDate :
June 30 2014-July 4 2014
Abstract :
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.
Keywords :
delays; difference equations; particle beam dynamics; Razumikhin method; charged particle beams; controllable system stabilization; homogeneous differential-difference equations; time-delay; Asymptotic stability; Control systems; Delays; Educational institutions; Electronic mail; Equations; Particle beams;
Conference_Titel :
Beam Dynamics and Optimization (BDO), 2014 20th International Workshop on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-5319-6
DOI :
10.1109/BDO.2014.6890103
