Fixed-time Intermittent Control for Synchronizing Complex Networks

Fixed-time synchronization of a general complex network is investigated using aperiodic intermittent control with logarithmic quantization. First, an alternative differential inequality lemma is presented to analyze fixed-time stability. Second, sufficient conditions are formulated via a quantized intermittent controller to secure synchronization, occurring within an explicitly estimated settling time that is not reliant on initial conditions. Eventually, a numerical example is proposed to confirm the theoretical findings.