H∞ Consensus for Multiagent Systems with Heterogeneous Time-Varying Delays

Abstract EN

We apply the linear matrix inequality method to consensus and H∞ consensus problems of the single integrator multiagent system with heterogeneous delays in directed networks.

To overcome the difficulty caused by heterogeneous time-varying delays, we rewrite the multiagent system into a partially reduced-order system and an integral system.

As a result, a particular Lyapunov function is constructed to derive sufficient conditions for consensus of multiagent systems with fixed (switched) topologies.

We also apply this method to the H∞ consensus of multiagent systems with disturbances and heterogeneous delays.

Numerical examples are given to illustrate the theoretical results.