Abstract
Based on finite-time (FNT) synchronization and energy consumption estimation of multi-layer networks, the tradeoff problem of synchronization time and energy consumption are discussed in this paper. Firstly, by establishing a switching controller without sign function, a sufficient criterion for the finite time synchronization of the error system is obtained. Then, the upper bound of the energy is estimated. Furthermore, by establishing the normalized evaluation index function, the tradeoff between control time and energy consumption is analyzed, and the optimal control gain of the switching controller is obtained, which can realize FNT synchronization with lower energy cost in a shorter time. Finally, the validity of the results is supported by numerical simulation.
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