The fundamental notion here is that of * dynamical consistency* between an
ordered pair of blocks of a hierarchical aggregation (partition) of the states
of a system. This property is said to hold when all the states of the first
block may be driven directly (by some initial state dependent control
sequence) into the second block. The concept of dynamical consistency permits
the definition of a * hierarchical lattice* of increasingly aggregated
sub-systems of a given system, and hence of the set of hierarichal control
systems of a given system. Such configurations are naturally expressed in
terms of hierachies of COCOLOG control languages. Furthermore, these
constructions naturally extend to the case where the finest (base) system is a
continuous (ODE) system and this gives rise to a theory of * dynamically
consistent hybrid system*.

Y-J. Wei, P.E. Caines

Mon Nov 13 10:43:02 EST 1995