Stability of leaderless multi-agent systems. Extension of a result by Moreau
arXiv:math/0411338
Abstract
The paper presents a result which relates connectedness of the interaction graphs in a multi-agent systems with the capability for global convergence to a common equilibrium of the system. In particular we extend a previously known result by Moreau by including the possibility of arbitrary bounded time-delays in the communication channels and relaxing the convexity of the allowed regions for the state transition map of each agent.
18 pages; 7 figures