Abstract
This paper follows (Caines and Wei, 1995) where a new notion of state aggregation for finite machines was introduced via the concept of the dynamical consistency (DC) relation between the blocks of states in any given state-space partition Π. This formulation results in a definition of high-level dynamics on the finite (partition) machine M Π whose states correspond to the given partition elements. This paper treats the more general case of ST-systems where there is a preferred sense of flow from a set of source states ( S) to a set of target states ( T) which is to be achieved by hierarchical control. A generalisation of the theory of Caines and Wei to ST-systems is given which includes the generalisation of the notions of dynamical consistency in block controllability and hierarchical feedback control on the associated hierarchical lattices.
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