Consensus of fractional-order multi-agent systems with input delays and compounded orders

In this paper, a new compounded order multi-agent system is proposed. The multi-agent system consists of two groups with different orders. Also the input delay effect on the consensus of the multi-agent systems is investigated. The sufficient consensus conditions are discussed in the frequency domain by adopting Laplace transform. The delay bound of multi-agent system is derived and holds for different groups. Numerical example with different parameters is given to verify the efficiency of the results derived.