Stabilization analysis for a class of multiple interval time-varying delays system

The delay-dependent stability problem for a class of multiple interval time-varying delays system is investigated in this paper, in which the derivatives of the time-varying delays are unknown. Delay-dependent stability criterions have been formulated in LMI forms based on integral equality approach. Some advantages are showed in this paper: (1) the results are free from the restrictions on the derivatives of the time-varying delays and can be applied to fast interval time-varying delays systems (2) integral equality approach reduces the conservatism of the system (3) the results are more general. Finally, a numeric example proves that the method is effective and superior.