Performance analysis for interconnected time-delay systems with networked communication.

This paper studies the network-based performance analysis for interconnected time-delay system (ITDS), where each subsystem experiences delays in the state and connects arbitrarily via the packet-based communication network. The ITDS with networked communication is modeled as hybrid systems with memory to incorporate the delay and network-induced imperfections into a unified framework. Based on this model, a general hybrid Lyapunov-Krasovskii functional is constructed. Sufficient linear matrix inequality conditions for the ITDS to be asymptotically stable and L2 stable are proposed, respectively. These conditions are only related to the interconnected structure, the parameters of each subsystem and local network, leading them convenient for feasibility computation. Two examples, including a numerical example and a three-area time-delay power system, are given to show the feasibility of the derived results.