# Hierarchical Hybrid Systems: Partition Deformations and Applications to the Acrobot System

@inproceedings{Lemch1998HierarchicalHS, title={Hierarchical Hybrid Systems: Partition Deformations and Applications to the Acrobot System}, author={Ekaterina S. Lemch and Peter E. Caines}, booktitle={HSCC}, year={1998} }

In [3],[5] the notion of dynamical consistency was formulated for hybrid systems so as to define the set of dynamically consistent hybrid partition machines Mπ, π e П, associated with a given continuous system S. This theory includes the notions of a hybrid between-block (HBBC) and in-block controllable (HIBC) partition machine, the lattice HIBC(S) of (HIBC) partition machines, and that of the associated hierarchical-hybrid feedback control systems. In this paper, a brief summary of this theory…

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