A Novel Reliable Leader-Following Consensus for Continuous-Time Multi-Agent Systems Under Nonhomogeneous and Asynchronous Markov Network Topology

This paper tackles the challenge of achieving robust leader-following consensus in multi-agent systems fac ing actuator faults and asynchronous network-dependent controllers. Specifically, it establishes sufficient conditions for ensuring reliable consensus, including: i) integration of actuator faults and network topology asynchronism into the control synthesis for each follower, ii) solutions to convex problems arising from the multiplication between time-varying transition rates and conditional probabilities, and iii) development of an innovative relaxation technique that reformulates H∞ stabilization conditions into linear matrix inequalities.