Stabilization of distributed networked control systems with constant feedback delay

In this paper we study a delay-dependent stability condition for networked control systems with distributed control. We assume a constant processing and communication delay. We use an augmented Lyapunov-Krasovskii functional combined with the Leibniz-Newton formula to find a network stability condition that guarantees the global asymptotical stability of the entire networked control system under delayed feedback. To design the control network, we propose a method involving a constrained quadratic program (QP) and a convex feasibility problem.