2.1 To improve the inequalities for stability analysis of differential systems with interval time-varying delays.
2.2 To find the new delay-dependent bounded real lemmas for continuous-time uncertain LPD linear systems with mixed interval time-varying delays.
2.3 To find the delay-dependent criteria for the existence of robust control for continuous-time uncertain LPD linear systems with mixed interval time-varying delays.
2.4 To improve the inequalities for stability analysis of difference systems with interval time-varying delays.
2.5 To find the delay-dependent criteria for the existence of robust control for uncertain discrete-time linear systems with mixed interval time-varying delays.
2.6 To apply the method analysis of previous systems for finding solution the problems of various stability and stabilization for control problem, robot control system and predator-prey models.
2.7 To find new knowledge for development country and basic sciences.