Consensus of Incommensurate-order Fractional Multiagent Systems with a Fixed-length Memory

摘要

This paper is devoted to considering the consensus problem of fractional-order multiagent systems (FMASs) with incommensurate orders and a fixed-length memory. For this purpose, a method is proposed wherein a fractional protocol with a time-varying lower terminal is designed for the FMASs to reach consensus. It is developed based on approximating the system's monodromy matrix that determines the system's stability if its spectral radius locates on the unit circle. The major advantage of the proposed method is its ability to solve FMASs with incommensurate orders and shortened memories. Therefore, it is possible to design fractional protocols that do not suffer from the buffer overflow, which is a common issue for the current ones. The proposed method is examined and verified by means of a test example.