Weak Markov Processes as Linear Systems

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

112 Wedi eu Llwytho i Lawr (Pure)


A noncommutative Fornasini-Marchesini system (a multi-variable version of a linear system) can be realized within a weak Markov process (a model for quantum evolution). For a discrete time parameter the resulting structure is worked out systematically and some quantum mechanical interpretations are given. We introduce subprocesses and quotient processes and then the notion of a $\gamma$-extension for processes which leads to a complete classification of all the ways in which processes can be built from subprocesses and quotient processes. We show that within a $\gamma$-extension we have a cascade of noncommutative Fornasini-Marchesini systems. We study observability in this setting and as an application we gain new insights into stationary Markov chains where observability for the system is closely related to asymptotic completeness in a scattering theory for the chain. Embargo 28/05/2016.
Iaith wreiddiolSaesneg
Tudalennau (o-i)375-413
Nifer y tudalennau39
CyfnodolynMathematics of Control, Signals, and Systems (MCSS)
Rhif cyhoeddi3
Dyddiad ar-lein cynnar28 Mai 2015
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 30 Medi 2015

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