2.1. To construct and study new augmented Lyapunov-Krasovskii functional combined with Newton-Leibniz formula, which is mainly based on the information of the lower and upper delay bounds. The time delay is a time-varying function belonging to a given interval, which allows the time delay to be a fast time-varying function, and the lower bound is not restricted to being zero.
2.2. To find new delay-dependent sufficient condition for decentralized asymptotic stability and asymptotic stabilization of large-scale interconnected discrete-time systems with interval time-varying delays and the stabilizing controllers to be designed must satisfy some asymptotic stabilization and exponential stabilization constraints on the closed-loop poles are established in terms of linear matrix inequalities (LMIs).
2.3. To be developed method using new inequalities for lower bounding cross terms eliminate the need for over bounding and provide larger values of the admissible delay bound..
2.4. To be applied to decentralized asymptotic stability and asymptotic stabilization of large-scale interconnected uncertain discrete-time systems with interval time-varying delays.
2.5. To find numerical examples are given to illustrate the effectiveness of the new theory.
2.6. To create research network both inside and outside of the country for making cooperation in doing research in this area.
