Performance analysis for interconnected time-delay systems with networked communication

Abstract

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.

Keywords: Hybrid systems with memory; Interconnected time-delay system; Packet-based communication network; Stability analysis.