Characterizations of Controlled Generation of Right Linear Grammars with Unknown Behaviors

This paper deals with the control generation of right linear grammars with unknown behaviors (RLUBs, for short) in which derivation behavior is not determined completely. In particular, we consider a physical property of control devices used in control systems and formulate it as a partial order over control alphabet of the control system. We give necessary and sufficient conditions for given finite language classes to be generated by RLUBs and their control systems using a given partial order over control alphabet.