Exponential Stability Analysis of Linear Discrete-Time Systems with Two Constant Delays

In this paper, we focus on the problem of exponential stability analysis of linear discrete-time systems with two constant delays. The proper Lyapunov-Krasovskii functionals (LKFs) are constructed. By employing WDOPs-based summation inequalities, an exponential stability criterion is obtained, which is given in terms of linear matrix inequalities (LMIs), and exponential estimates of all solutions of linear discrete-time systems with two constant delays are also obtained. An example illustrates that the presented WDOPs-based summation inequality method can get the exponential stability criterion with larger decay rate than the existence.