Decentralized Event-Triggered Impulsive Control for a Class of Graph-Based Interconnected Nonlinear Systems

This paper presents event-triggered impulsive control synthesis for a class of nonlinear systems interconnected over graphs. The system consists of numbers of heterogeneous nonlinear subsystems interconnected that interact through sensing, computing, and communication over a network graph. The complexity of the system arises from both the nonlinear nature of the subsystems and the interconnection structure, making stabilization a challenging task. To address these challenges, the state-space model of each nonlinear subsystem is approximated using Takagi-Sugeno (T-S) fuzzy models. Based on these models, the concepts of well-posedness, stability, and contractiveness are established. For stabilizing the complex system, an event-triggered impulsive control law is proposed to restrict the nonlinear system to an exponentially stable and contractive performance level. Finally, numerical simulations are provided to verify the validity of the results.