Consensus Analysis for Multi-Agent Systems with Time-Varying Delays and Incomplete Knowledge of Transition Probabilities

Multi-agent systems should use a network. As a problem that may occur in the network, the consensus analysis should be conducted considering time delay and switching topology. Also, all values of transition rates with switching topology information may not be known. This manuscript studies the consensus analysis for multi-agent systems with time-varying delays and incomplete knowledge of transition probabilities. The presented constraints are addressed by establishing the Lyapunov-Krasovskii functional. The results of the numerical example prove that the proposed analysis criterion is less conservative than the early study and reaches a consensus on multi-agent systems.