Y-J. Wei, P.E. Caines
This work presents a new formulation of the aggregation of the state
sets of large or complex (finite input, state, output) dynamical
systems. Given any control problem for the original base system the
resulting hierarchical control system recursively solves a set of
simpler problems for systems with simpler dynamics at each of its
hierarchical layers. The fundamental notion here is that of *
dynamical consistency* (DC) between an ordered pair of blocks of an
aggregation (partition) of the set of system states. The DC property
is said to hold when all the states of the first specified block may
be driven directly (by some initial state dependent control sequence)
into the second block. The concept of dynamical consistency permits us
to define the natural notions of in-block and between-block
controllability, and of a hierarchical lattice of increasingly
aggregated sub-systems of a given system. Such configurations are
naturally expressed in terms of hierachies of COCOLOG control
languages called HICOLOG systems and the conceptual framework extends
naturally to hybrid control systems.

Mon Apr 7 12:54:24 EDT 1997