Deterministic discrete-event representations of linear continuous-variablesystems

The paper concerns linear continuous-variable systems whose state can be me asured only through a quantiser. As for an observer the system together wit h the quantiser behaves like a discrete-event system, the problem of repres enting this system by some deterministic finite state machine is considered . The main difficulty of this representation problem occurs due to the nond eterminism introduced by the state quantisation. It is investigated under w hat conditions on the linear continuous-variable system and on the state qu antisation the discrete-event behaviour is deterministic. The main results are sufficient conditions for this property. (C) 1999 Elsevier Science Ltd. All rights reserved.