Resilience Quantification Control of Uncertain Nonlinear Interconnected Systems under Consecutive Replay Attacks

We address the resilience quantification in terms of control for a class of uncertain nonlinear interconnected systems subjected to consecutive replay attacks. The distributed controllers and parameter estimators in the framework of adaptive approximation are designed to stabilize the uncertain nonlinear interconnected systems. The explicit resilience condition for the resting time between two consecutive attacks is characterized by taking into account the stability requirements. Specifically, if the resting time between two consecutive replay attacks is larger than a suitable boundary constant, then all signals of the interconnected system controlled by the adaptive distributed controllers remain bounded. Simulation results are given to show the effectiveness of our theoretical analysis.