  The ultra large multi-agent systems are becoming increasingly popular due to
quick decay of the individual production costs and the potential of speeding up
the solving of complex problems. Examples include nano-robots, or systems of
nano-satellites for dangerous meteorite detection, or cultures of stem cells
for organ regeneration or nerve repair. The topics associated with these
systems are usually dealt within the theories of intelligent swarms or
biologically inspired computation systems. Stochastic models play an important
role and they are based on various formulations of the mechanical statistics.
In these cases, the main assumption is that the swarm elements have a simple
behaviour and that some average properties can be deduced for the entire swarm.
In contrast, complex systems in areas like aeronautics are formed by elements
with sophisticated behaviour, which are even autonomous. In situations like
this, a new approach to swarm coordination is necessary. We present a
stochastic model where the swarm elements are communicating autonomous systems,
the coordination is separated from the component autonomous activity and the
entire swarm can be abstracted away as a piecewise deterministic Markov
process, which constitutes one of the most popular model in stochastic control.
Keywords: ultra large multi-agent systems, system of systems, autonomous
systems, stochastic hybrid systems.
